[tex](5-\sqrt{5}) and (\sqrt{5} -5)[/tex]Are two roots of a fourth degree polynomial with integer coefficients, what are the other roots?

Answers

Answer 1

Answer:

  (5 +√5) and (-√5 -5)

Step-by-step explanation:

Given two roots of the 4th-degree polynomial with integer coefficients are (5-√5) and (√5-5), you want to know the other two roots.

Conjugates

The other two roots are the conjugates of the given roots. That is, the signs of the √5 term will change:

  (5 +√5) and (-√5 -5)

__

Additional comment

The polynomial is x⁴ -60x² +400.

[tex](5-\sqrt{5}) And (\sqrt{5} -5)[/tex]Are Two Roots Of A Fourth Degree Polynomial With Integer Coefficients,

Related Questions

How do you solve a volume?

Answers

Volume of the rectangle is estimated as;

Volume =  length x width x height

Define the term volume of the rectangle?

A three-dimensional object's volume is a measurement of the amount of space it occupies. We'll look at the procedure for calculate a box's volume on this page.

The size of a box:

The volume of a cube or box can be determined if you understand how to multiply. A surface area of the a flat rectangle is equal to its length twice its width, however that was an earlier understanding for a flat, two-dimensional object.

View the box illustration below:

As you can see, there are three dimensions to take into account when dealing with a box or other three-dimensional object: length, width, and height.

Thus, the volume is calculated using the formula length x width x height:

V = l x w x h

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A landscape contractor bids on jobs where he can make $3250 profit. The probabilities of getting 1, 2, 3, or 4 jobs per month are shown. Find the contractor's expected profit per month. The contractor's expected profit per month is $

Answers

The profit per month for the contractor is obtained as $9425.

What is probability?

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

The profit of the contractor per job is given as $3250.

As per the given table the expected value can be obtained as,

E(x) = [tex]\sum_{x = 1}^{4} xP(x)[/tex]

⇒ E(x) = 1 × 0.1 + 2 × 0.2 + 3 × 0.4 + 4 × 0.3

⇒ 2.9

Then, the expected profit of is given as 3250 × 2.9 = $9425

Hence, the profit per month is obtained as $9425.

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To get to the same school, Brandon walks 4 blocks west and 2 blocks south. Trisha leaves her home and walks 2 blocks west and 4 blocks north to get to school. Which of these directions should Trisha follow to go from her home to Brandon's house?

Answers

Answer:

To get from Trisha's house to Brandon's house, Trisha should first walk 2 blocks west and 4 blocks north to get to school. From there, she should walk 4 blocks east and 2 blocks south to get to Brandon's house. This means that Trisha should follow the following directions to get from her house to Brandon's house:

Walk 2 blocks west

Walk 4 blocks north

Walk 4 blocks east

Walk 2 blocks south

These directions will take Trisha from her house to Brandon's house.

Step-by-step explanation:

Answer:

2 and 6 (A)

Step-by-step explanation:

How do you simplify 3 to the 3rd power?

Answers

Simplifying 3 to the 3rd power gives 27.

What is power?

Raising a base number to an exponent is referred to as "power" in mathematics. It indicates that "base number" and "exponent" are the two fundamental components of powers. The exponent shows how many times the base number has been multiplied, whereas the base number is defined as a number that is multiplied by itself. In a nutshell, power is a number that has exponents used to express it. It means that the same element has been multiplied repeatedly. In the context of powers, the following specific terminology may be used:

Whenever a number:

Squared – power is 2

cubed – Power is 3

“to the power of” – used for powers more than 3

3 to power 3= [tex]3*3*3=27[/tex]

Simplifying 3 to the 3rd power gives 27.

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9.
Which graph shows a triangle and its reflection image across the y -axis?
A.
B.
C
D

Answers

Answer:D

Step-by-step explanation:

How many real zeros does this graph have?

Answers

Answer:

3

Step-by-step explanation:

"Real zeros" are x-intercepts. So this graph crosses the x-axis three times. There are three real zeros.

Generally, you can (sloppy interpretation) interchange the words: zeros, solutions, roots and x-intercepts.

For any questions that ask for these, change y or f(x) to zero and solve it.

satara was having fun playing poker. she needed the next two cards dealt to be hearts so she could make a flush (five cards of the same suit). there are 10 cards left in the deck, and three are hearts. what is the probability that the two cards dealt to satara (without replacement) will both be hearts? answer choices are in percentage format, rounded to the nearest whole number. 30% 7% 60% 26%

Answers

the probability that the two cards dealt to Satara (without replacement) will both be hearts is 7%

Total Number of cards left in the deck = 10

Number of hearts left in the deck = 3

Probability = (required outcome / Total possible outcomes)

Required outcome = hearts card in the deck

Without replacement, deal Satara two cards as follows:

The chance that the first card is a heart:

P(first card being hearts) = necessary result / all possible results

P(first card is a heart) equals 3/10.

The probability that the second card is a heart:

It cannot be replaced because:

Required result = (3 - 1). = 2

The total number of outcomes is (10 - 1) = 9 P(the second card is a heart) = 2 /9

The likelihood that the two cards are hearts is (3/10 x 2/9) = 6/90 = 0.0666 x 100% = 6.66%

= 7% (nearest whole number)

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Why is square root of 4 not an irrational number?

Answers

The square root of 4 is 2 (2 x 2 = 4). This implies 4 is perfect square of 2.

Hence square root of 4 is not an irrational number.

What is an irrational number?

An irrational number is one that cannot be represented by whole numbers and/or fractions (also called ratios)  is an irrational number because those decimals just go on and on and there is no pattern to be represented by a fraction. Many square roots are also irrational numbers.

According to the given question:

The square root of 4 is 2 (2 x 2 = 4). This implies 4 is perfect square of 2. Squaring of 2 gives 4 and square root of 4 gives 2. 2 is a rational number i.e. it can be represented in p/q form.

Hence square root of 4 is not an irrational number.

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1. Select the solution set of the quadratic inequality.

Answers

By applying concepts of Quadratic Inequality and applying on graphs option C is correct.

How to plot Quadratic Inequality equations on graph?

A quadratic inequality of the form

y>ax^2+bx+c

(or substitute <,≥ or ≤ for > ) denotes a section of the plane enclosed by a parabola.

Graphing the parabola is the first step in graphing a quadratic inequality. Then, depending on the inequality, fill in the area either above or below it.

If the inequality symbol is ≤ or ≥ , then the region includes the parabola, so it should be graphed with a solid line.

Otherwise, a dotted line should be drawn around the parabola to show that the region excludes the border if the inequality symbol is either <or >.

If it is > then the region above the dotted line is taken and if it is < the region below it is taken.

In the given question

y>(x-3)^2-1;

So the region above the dotted line should be taken which is option C.

By applying concepts of Quadratic Inequality and applying on graphs option C is correct.

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What are the 3 types of graphs?

Answers

Three commonly used types of graphs are bar graphs, Pie Chart, and line graphs. Every sort of graph is appropriate for displaying a one-of-a-kind kind of records.

Graph:

The term graph is a pictorial illustration of facts in an organized way. Charts are normally fashioned from different data factors that represent the link among two or more matters.

Bar Graph:

A bar graph is a chart that displays complete data in rectangular bars, with the height of the bars proportional to the values ​​they represent. Chart bars can be displayed vertically or horizontally. A bar chart, also called a bar chart, is a graphical representation of grouped data. It is a method of data processing. Bar Graph are great for displaying data independent of each other and do not need to be in any particular order when displayed. Bars provide a visual indicator for comparing amounts in different categories. A bar chart has two lines, the horizontal and vertical axes (also called x-axis and y-axis), a title, labels, and a scale range.

Pie Chart:

Pie Chart is a chart type that visually represents data in a pie chart. It is one of the most commonly used charts for representing data with attributes of circle, sphere, and angle data to represent real-world information. The shape of the pie chart is circular, the circle represents all the data and the slices of the pie represent portions of the data and are plotted separately.

For Example: A full circle represents a value of 100. Divided into 10 slices or sectors. Different colors represent the ingredients used to prepare the cake. What is the exact amount of each component represented by a particular color in the pie chart below?

Solution: As you can see, the pie he is divided into 10 segments or sectors. To calculate the exact amount of ingredients added to the cake, divide the value across sectors.

H. 100 in sectors. So 100 ÷ 10 = 10.

Line graph:

A line chart is a graphical representation of changes that occur over a period of time. A line chart has a horizontal axis called the x-axis and a vertical axis called the y-axis. The x-axis usually has a period of time that measures the quantity of a particular thing or item on the y-axis. Line charts are useful for analyzing trends, whether the quantity on the y-axis is increasing or decreasing over time. A line chart clearly shows an uptrend or a downtrend.

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Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. What was the total cost before sales tax? Round your answer to the nearest cen

Answers

The total cost before the sales tax was 19.828 pounds.

For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.

We have to determine the total cost before sales tax.

As per the question, we have prices as:

cost of turkey = 3.95 per pound

cost of egg cheese = 1.3 per pound

cost of egg salad = 0.89 per pound

The total cost of turkey = 3.8 × 3.95  = 15.01 pounds

The total cost of cheese = 2.2 × 1.3 = 2.86 pounds

The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds

The total cost before sales tax = 15.01 + 1.958 +2.86

Apply the addition operation, and we get

The total cost before sales tax = 19.828 pounds

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The question seems to be incomplete the correct question would be:

Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?

Thomas deposited $800 into two different accounts.
- He deposited $450 into an account that pays 4.5% simple interest.
- He deposited $350 into an account that pays 4.25% compounded annually.
If Thomas does not deposit additional money into the accounts and he doesn't withdraw any money from the accounts, which is closest to the total balance he will have in the accounts at the end of 2 years?
Group of answer choices
A. $820.38
B. $1,220.88
C. $871.79
D. $870.88

Answers

The total balance he will have in the accounts at the end of 2 years will be $870.88. The correct option is D.

What are simple interest and compound interest?

In most cases, simple interest paid or received over a specific time period is a fixed percentage of the principal amount borrowed or lent. Borrowers must pay interest on interest as well as principal because compound interest accrues and is added to the accumulated interest from previous periods.

Given that Thomas deposited $450 into an account that pays 4.5% simple interest and deposited $350 into an account that pays 4.25% compounded annually.

The simple interest is calculated as,

SI = ( 450 x 4.5 x 2 )

SI = $40.5

Amount = 450 + 40.5

Amount = $490.5

The compound interest will be calculated as,

A = 350 ( 1 + 0.0425 )²

A = $380.38

The total balance in the account after 2 years will be,

Total balance = $490.5 + $ 380.38

Total balance = $870.88

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what is the value of x? x+3=8

Answers

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

[tex]x+3=8\\x=8-3\\x=5[/tex]

Which equations are true equations? Select all correct answers. Responses 92−72=20÷(7−2) 9 squared minus 7 squared equals 20 divided by open parenthesis 7 minus 2 close parenthesis 48 ÷ 8 + 2³ = 5 + 3² 48 ÷ 8 + 2³ = 5 + 3² 8⋅72−12=22−2⋅3 fraction numerator 8 times 7 over denominator 2 end fraction minus 12 equals 22 minus 2 times 3 15052=30−42−12

Answers

The true equations among the given expression are

48 ÷ 8 + 2³ = 5 + 3²(8 * 7) / 2 − 12 = 22 − 2 * 3

How to find the true equation

True equation has same value at the left hand side and the right hand side of the equations after simplifying

The true equation is shown below

48 ÷ 8 + 2³ = 5 + 3²

applying PEMDAS

Exponents

48 ÷ 8 + 8 = 5 + 9

Division

6 + 8 = 5 + 9

Addition

14 = 14

(8 * 7) / 2 − 12 = 22 − 2 * 3

Parenthesis

56/2 - 12 = 22 - 2 * 3

Division

28 - 12 = 22 - 2 * 3

Multiplication

28 - 12 = 22 - 6

Subtraction

16 = 16

since the values in LHS = RHS the both equation are true

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What is the formula of x³ 1?

Answers

The formula of x³ = 1 is 1.

Define cube.

A number's third power, or the outcome of multiplying three occurrences of the number n together, is known as the cube in mathematics and algebra. A superscript 3 represents the cube of a number or any other mathematical expression. A cube is a solid three-dimensional shape with six square faces, eight vertices, and twelve edges that is used in mathematics or geometry. Also said to be a conventional hexahedron. You must be familiar with the three-by-three Rubik's cube, which is the most prevalent real-world example and is useful for boosting cognitive function. Similar to this, there are several examples in everyday life, such as six-sided dice, etc.

Given

x³ = 1

Cubing both sides,

x = ∛1

x = 1

The formula of x³ = 1 is 1.

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Is a hole considered an asymptote?

Answers

Yes, a hole is considered an asymptote.

There are "holes" in the graph called vertical asymptotes where the function cannot have a value. They represent areas where the x-value is not permitted.

In particular, a rational function's denominator can never equal zero. A vertical asymptote is any value of x that would result in the denominator being equal to zero.

We may determine which direction the graph will incline as its x-values rise by looking for a horizontal or slant asymptote. In contrast to the vertical asymptote, a horizontal or slant asymptote can be touched or crossed by the graph.

Yes, a hole is considered an asymptote.

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In example, the denominator of a rational function can never be 0. Any value of x that would cause the denominator to equal 0 is known as a vertical asymptote.

By searching for a horizontal or slant asymptote, we may determine which direction the graph will incline as its x-values increase. The graph can touch or cross a horizontal or slant asymptote as opposed to the vertical asymptote.

What is the best graph to present the data?

Answers

The best graph to present the data is Multiple bar diagram

The term graph in math refers easiest ways to represent data is using graphs. And it is also used to compare different values, understand how different parts impact the whole, or analyze trends.

By using the graph you can easily understand the data.

Basically, the types of graph that are suitable for specific data depends on the nature and the given conditions of the data.

Here we have some mostly used types of diagrams used to represent data are line diagrams, bar diagrams, semi-logarithmic charts, multiple bar diagrams, subdivided bar diagrams, pie diagrams, stem and leaf plots, box plots, and ogives.

Here the best graph to display the data is a Multiple bar diagram (MBD).

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What is the mean of 2 4 6 8 10 30?

Answers

The mean for a given set of observations is 10.

What is mean?

The mean is the average of a set of variables in mathematics and statistics. The mean may be calculated in a variety of methods, including the simple arithmetic mean (add the numbers and divide the total by the number of observations), geometric mean, and harmonic mean. A data set's mean (average) is calculated by summing all of the numbers in the set and then dividing by the number of values in the set. When a data collection is arranged from least to largest, the median is the midway value. The mode is the number that appears the most frequently in a data collection.

Here,

given set of observation,

=2,4,6,8,10,30

=(2+4+6+8+10+30)/6

=10

The mean for given set of observation is 10.

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Evaluate The Triple Integral ∭ExydV Where E Is The Solid Tetrahedon With Vertices (0,0,0),(8,0,0),(0,1,0),(0,0,3)

Answers

The triple integration of ∭E xy dV and The Solid Tetrahedron With Vertices (0,0,0),(8,0,0),(0,1,0),(0,0,3), is 8 / 5.

What is integration?

When infinitesimal data are combined, concepts like displacement, area, and volume can be described by assigning numerical values to the functions that make up an integral. Integration is the procedure for locating integrals.

Given:

∭E xy dV  and The Solid Tetrahedron With Vertices (0,0,0),(8,0,0),(0,1,0),(0,0,3),

Calculate the equation of plane passing through the vertices (0,0,0),(8,0,0),(0,1,0),(0,0,3) as shown below,

x / 8 + y / 1 + z / 3 = 1

z = 24 - 3x -24y / 8

Put z = 0

y = 1 - 1 / 8x

Put y = o

x = 8

Calculate the integral as shown below,

[tex]\int \int\int_E xydV = \int _0^8 \int _0^{1-x/8} \int _0^{{24-3x-24y}/8} xy\ dz\ dy\ dx[/tex]

∫∫∫E = [tex]1/8 \int _0^8 [24xy^2 / 2 - 3x^2y^2 / 2 - 24xy^3 / 3]^{1-x /8}dx[/tex]

∫∫∫E = 1 / 8 × 64 / 5

∫∫∫E = 8 / 5

Thus, the triple integral is 8 / 5.

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What is the first step to graph an inequality?

Answers

Treat the,, >, or sign as a = sign when putting an inequality on a graph. The equation should be plotted as a dotted line if the inequality is either or. The equation should be graphed as a solid line if the inequality is either or.

What does a math inequality mean?

A relationship between two expressions or values that is not equal to each other is referred to as inequality in mathematics.

                              The term "inequality" refers to a mathematical equation in which the sides are not equal to one another. A comparison of any two values, known as an inequality, demonstrates that one value is less than, larger than, or equal to the value on the opposite side of the equation.

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A shipping container is in the shape of a right rectangular prism with a length of 20 feet, a width of 8.5 feet, and a height of 8 feet. The container is filled with contents that weigh 0.25 pound per cubic foot. What is the weight of the contents in the container?

240 pounds

340 pounds

5440 pounds

1360 pounds

Answers

Answer:

340pounds

Step-by-step explanation:

volume of container = 20 x 8.5 x 8= 1360 cubic feet

weight = 0.25 pounds per cubic foot

0.25 x 1360 = 340 pounds

Whats mean in range?

Answers

The extent of the variations that could occur or the dividing lines between them several styles and prices across the steel spectrum. the scale or extent of a procedure, move, or activity.

what is range ?

The statistical range for a certain data collection is the range of values between the highest and lowest values. Comparing the top and lowest observational values also allows one to visualize the range. By deducting the greatest value from the lowest, the sample interval is determined. The sample range is a critical indicator of variability for variables with continuous variation.

here ,

There is a range of values between the lowest and highest. The lowest and greatest values in the example are 2 and 9, respectively.

Therefore, the range is 9 x 2 = 8.

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This has 2 parts - The first one is the easy part, the
second parts presents a challenge. You must show
your strategy and calculations to receive full credit.
Write your answer as whole numbers in hours and
in minutes. (Example: 35.25 = 35 hours and 15
minutes (NOTE: every 0.1 hour = 6 minutes))
Part 1: 2 airplanes left the same airport at the same
time. One is traveling at 422 mph straight east, the
other is traveling 384 mph straight west.
How long will it take before they are 6045 miles
apart?
Part 2: 2 airplanes left the same airport at the same
time. One is traveling at 422 mph straight NORTH,
the other is traveling 384 mph straight WEST.
How long will it take before they are 1997 miles
apart?

Answers

Answer:

Step-by-step explanation:

Part 1)

add their velocities

422+384= 806

now divide 6045 by 806 = 7.5  or  7 hours 30 minutes

7:30 = t   hours:minutes

Part 2)

For this part we will need to employ Pythagoras theorem. we need the hypotenuse to be 1,997

so, when will  plane traveling N ,  and plane traveling W be that far (1997)?

or

when does  [tex]1997^{2}[/tex] = [tex]N^{2}[/tex] + [tex]W^{2}[/tex]

then we're also given that  N = 422*t

and  that  W = 384 * t

so now our formula looks like

[tex]1997^{2}[/tex]  = [tex](422*t)^{2}[/tex] + [tex](384*t)^{2}[/tex]

rewrite this so it's making clear math sense

[tex]1997^{2}[/tex]  = [tex]422^{2}[/tex] * [tex]t^{2}[/tex] + [tex]384^{2}[/tex] * [tex]t^{2}[/tex]

now pull out the [tex]t^{2}[/tex]

[tex]1997^{2}[/tex]  = ( [tex]422^{2}[/tex]  +   [tex]384^{2}[/tex] ) * [tex]t^{2}[/tex]

now simplify some

3988009 = (178084 + 147456 ) * [tex]t^{2}[/tex]

now divide the left side by the numbers on the right

3988009 /  (178084 + 147456 )  = [tex]t^{2}[/tex]

12.12044234 = [tex]t^{2}[/tex]

[tex]\sqrt{12.25044234}[/tex] = t

3.500063191 = t

so at 3 and a half hours,  the planes will be 1997 miles apart

3:30 = t

Is equidistant to the poles is called Equator?

Answers

Answer:

In astronomy, the celestial equator is the great circle in which the plane of the terrestrial Equator intersects the celestial sphere; it consequently is equidistant from the celestial poles. When the Sun lies in its plane, day and night are everywhere of equal length, a twice-per-year occurrence known as equinox.

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mark me brainliest

Step-by-step explanation:

usr the following set of numbers to complete the output 5,6 and 7

giveing brainlist to someone who answers it right​

Answers

The complete table is solved and shown below.

What is a mathematical function, equation and expression?                function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is to complete the output table as given.

Now, we can write -

for [x] = - 4,   y = - 3

for [x] = - 3, y = - 1 =  {- 3 + 2}

for [x] = 1, y = 1 + 2 = 3

for [x] = 2, y = 2 + 2 = 4

for [x] = 5, y = 5 + 2 = 7

                                           

Therefore, the complete table is shown and solved above.

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Can you use SSA to prove triangles congruent?

Answers

No, we can not use SSA to prove triangles are congruent.

The side-side-angle congruence rule also referred to as the SSA congruence rule, deals with the congruence of two triangles.

According to the SSA congruence rule, two sides and an angle that is not contained between them must be equal to two sides and an angle of the other triangle in order for the two triangles to be equal. Due to the possibility that the sides of the two triangles may not be on the same corresponding sides, this congruence rule does not consider two triangles to be congruent. It's possible that the two triangles will wind up being of different sizes and shapes. The SSA congruence rule is therefore invalid.

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How many solutions does the equation y 0 and y =- 5 have?

Answers

The system of equations has "no solution" because they are parallel lines.

What is the equation?

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

In general, any equation of the form y = k, where k is a constant, represents a horizontal line that extends indefinitely in both directions.

The system of equations y = 0 and y = -5 describes two lines in the coordinate plane.

The first equation, y=0, is the x-axis.

The second equation, y=-5, is a horizontal line 5 units below the x-axis.

As we know, y = 0 and y = -5 are two parallel lines.

Therefore, no solution exists.

Hence, the system of equations has no solution.

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The graph below represents the number of siblings each student in a class has.

What was the range of number of siblings?

Answers

The number of siblings is 41.

What are arithmetic operations?

Arithmetic operations is a branch of mathematics that studies numbers and the operations on numbers that are useful in all other branches of mathematics. It consists primarily of operations like addition, subtraction, multiplication, and division.

we have given,

The graph represents the number of siblings each student in a class.

the graph which represents the frequency of the number of students on the y-axis and the number of siblings on the x-axis.

Number of siblings = (0 * 6) + (1 * 7) + (2 * 4) + (3 * 2) + (4 * 5)

= 41

Hence, the number of siblings is 41.

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Which is an example of discontinuous change?

Answers

An example of discontinuous change is an adolescent experiencing puberty.

The term "discontinuity" is used in the literature on behaviour in a number of distinct contexts. It should specifically relate to a rapid change in a system's properties.

A discontinuity is stated to have happened when a two-month-old human infant's attention, vocalisation, and sniffing scores do not predict their scores on the same test at four months. "Discontinuity" is also used to describe the rearrangement of rank on a specific measure.

The first twenty years of a person's life are when discontinuous change is most noticeable, such as during birth and puberty. These gaps in continuity are not puzzling. Many biological and physical systems have the capacity to change abruptly and discontinuously.

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When a human infant's attention, vocalization, and sniffing scores at two months do not predict their results on the same test at four months, a discontinuity is said to have occurred. Rearranging rank on a certain measure is referred to as "discontinuity."

Discontinuous change is most apparent throughout a person's first twenty years of life, such as during puberty and childbirth. These discontinuities are not mysterious. Many biological and physical systems are capable of rapid, discontinuous change.

What is the slope when x =- 4?

Answers

Since, The given line is the line which is parallel to the y-axis that is a vertical line, It makes 90 degree with the positive x-axis, The slope is undefined that is tan(90).

What do you mean by equation?

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used. A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign. Like this: 2x - 4 Equals 2.

What do you mean by slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. Divide the difference in elevation between two points by the distance between them to find the percent slope, then multiply the result by 100. The term "rise" refers to the difference in elevation between two sites. The run is the separation between the points. Percent slope is therefore equal to (rise / run) x 100.

x=-4

This is a vertical line parallel to y-axis.

It makes 90 degree with positive x-axis in anti-clockwise direction.

slope = tan(90) = undefined.

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