Find the equation of a line that is perpendicular to 4x+6y=1 and that has a greater intercept to the line 2x+3y=18
Answers
Answer:
The equation of the the line that is perpendicular to 4·x + 6·y = 1 and that has a greater intercept to the line 2·x + 3·y = 18 can be 2·y - 3·x = 14
Step-by-step explanation:
The line which is perpendicular to the required line = 4·x + 6·y = 1
The line with which the required line has a greater intercept = 2·x + 3·y = 18
Solution;
The relationship between the slope, m₁, of a straight line, y = m₁·x + c₁ perpendicular to another straight line, y = m₂·x + c₂, with slope m₂ is given as follows;
m₁ = -1/m₂
Rewriting the equation of the given line in slope and intercept form gives;
4·x + 6·y = 1
6·y = 1 - 4·x
y = 1/6 - 4·x/6 = 1/6 - 2·x/3 = 1/6 - (2/3)·x
∴ y = 1/6 - (2/3)·x
Therefore, the slope, 'm₁', of the line y = 1/6 - (2/3)·x, is m₁ = -(2/3)
The slope of the perpendicular line, is therefore, m₁ = -1/m₂
∴ m₂ = -1/m₁
m₂ = -1/(-(2/3)) = 3/2
The intercept of a straight line of the form y = m·x + c is 'c'
The intercept of the line 2·x + 3·y = 18 is obtained by rewriting the equation of the line in slope and intercept form as follows;
2·x + 3·y = 18
y = 18/3 - (2/3)·x = 6 - (2/3)·x
y = 6 - (2/3)·x = -(2/3)·x + 6
y = -(2/3)·x + 6
By comparing the above equation to the equation, y = m·x + c, we have;
c = 6
The intercept of the line y = -(2/3)·x + 6, which is the same line as 2·x + 3·y = 18 is 6
∴ The intercept of the required line, c₂ > 6
The equation of the required line in slope and intercept form, y = m·x + c, can therefore be;
y = (3/2)·x + 7
By multiplying by 2, we get;
2·y = 3·x + 14
∴ The equation of the line can be 2·y - 3·x = 14.
Related Questions
For the following image state the corresponding part based on a specific segment or Angle
Answers
Your answers are correct! Well done!
The diameter of a circle is 6 cm. What is the area of the circle to the nearest square meter?
Answers
Answer:
0.002827 m^2
Step-by-step explanation:
A = pi * r^2
d = 2r
r = 3 cm = 0.03 m
A = pi * (0.03) ^ 2
A = 0.002827 m^2
The area of the circle is - 0.028 [tex]m^{2}[/tex]
The diameter (D) of a circle - 6cm
A diameter is a line that passes through the center of a circle and meets the circumference at the opposite site.The radius of a circle is the distance between the center point to any other point on the circle.The diameter is equal to half of the radius(r).D=[tex]\frac{r}{2}[/tex]
The radius of a circle is = [tex]\frac{6}{2}[/tex] cm
= 3 cm = 0.03 meter
Now,
The formula of the area of a circle = π[tex]r^{2}[/tex]
(the value of π = [tex]\frac{22}{7}[/tex] )
Area of a circle = [tex]\frac{22}{7}[/tex] * [tex](0.03)^{2}[/tex] [tex]m^{2}[/tex]
=[tex]\frac{22}{7}[/tex] * 0.0009 [tex]m^{2}[/tex]
= 0.028 [tex]m^{2}[/tex]
∴ The area of the circle is - 0.028 [tex]m^{2}[/tex]
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How to graph linear inequalities in two variables step by step?
Answers
To graph linear inequalities with two variables separation of variables and plotting are two basic steps.
What are linear inequalities?Mathematical expressions known as linear inequalities compare two expressions using the inequality symbol. The expression may be either a numerical or an algebraic expression, or it may be both.
Give an example of linear inequality.3x-2y>1 is an illustration of a linear inequality. The inequality equation's LHS is in this case clearly greater than the RHS.
Step 1:Always begin by separating the variable y from the inequality's left side.
Step 2: Replace the inequality symbol with the equality symbol.
Step 3: In the X, Y, XY, XY plane, graph the boundary line from step 2.
Step 4:The final step is to shade a portion or one side of the border line.
If your boundary line contains the inequality symbols >> or \ge≥., shade the upper side of the boundary line.
If the inequality symbols << or \le≤ are present, shade the boundary line's bottom side.
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Use the Law of Cosines to find the values of x°and y°. Round to the nearest tenth.
Answers
The value of x° and y° are 48.5° and 38.6°.
What is the cosine law?
The square of the length of any one side of a triangle is equal, by the cosine rule, to the total of the squares of the lengths of the other two sides, multiplied by the cosine of the angle they are a part of.
The length of sides of the triangle are 10, 12, and 16.
Assume that AB = c = 10, BC = a = 16, and AC = b = 12
m∠B = x° and m∠C = y°.
Cosine law:
c² = a² + b² - 2ab cos C ....(i)
b² = a² + c² - 2ac cos B ....(ii)
a² = b² + c² - 2bc cos A ....(iii)
Putting a = 16, b = 12, c = 10, and C = y° in law (i)
10² = 16² + 12² - 2×16×12 cos y
100 = 256 + 144 - 384 cos y
384 cos y = 300
cos y = 300/384
y = 38.6°
Putting a = 16, b = 12, c = 10, and B = x° in law (ii)
12² = 16² + 10² - 2×16×10 cos x
144 = 256 + 100 - 320 cos x
320 cos x = 212
cos x = 212/320
x =48.5°
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How do you find the mean of 4?
Answers
5 is the required mean of the given values 4 and 6.
What is mean?The mean is a specific type of average.
A list of values, such as measurements or numbers, is used to calculate it by dividing the total number of values in the list by the total number of values in the list.
To find the mean, add up each value in the set.
Now, we got the values which are:
4 and 6
Mean formula: Sum of terms / Number of terms
Now, we will use the above-given formula and calculate the mean of 4 and 6 as follows:
Mean: Sum of terms / Number of terms
Mean: 10/ 2
Mean: 5
Therefore, 5 is the required mean of the given values 4 and 6.
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Complete question:
How do you find the mean of 4 and 6?
The image point of A after a translation right 4 units and up 4 units is the point B (3,8). Determine the coordinates of the pre image point A
Answers
The coordinate of the image point A (-1, 4).
What is translation?In mathematics, a translation is an up, down, left, or right movement of shapes. Because the translated shapes appear to be identically similar in size to the original ones, they are congruent with one another.
The Rule of Translation of points is given by (x, y) → (x ± h, y ± k)
where the horizontal and vertical shiftings are h units and k units, respectively.
Given that
The image point of A after a translation right 4 units and up 4 units is the point B
Let A(x, y) be the point that translated to right 4 units and up 4 units
According to the given formula
(x, y) → (x ± h, y ± k)
Since the point is translated to right and up
=> (x, y) → (x + h, y + k)
=> (x, y) → (x + 4, y + 4)
From the given data the final point is B(3, 8)
=> (x + 4, y + 4) = (3, 8)
=> x + 4 = 3 and y + 4 = 8
=> x + 4 = 3
=> x = 3 - 4 = -1
=> x = -`1
=> y + 4 = 8
=> y = 8 - 4
=> y = 4
Therefore,
The coordinate of the image point A (-1, 4).
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If a=b^2 c^3 and c=j^2 k^5 , which of the following is a correct expression for a in terms of b,j, and k?
Answers
Step-by-step explanation:
If a = b^2 c^3 and c = j^2 k^5, then we can substitute c = j^2 k^5 into the expression for a to get:
a = b^2 (j^2 k^5)^3
= b^2 j^6 k^15
This is a correct expression for a in terms of b, j, and k.
The correct expression for a in terms of b, j, and k is [tex]a = b^2 j^6 k^{15}[/tex].
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol be used to indicate the logical syntax's order of operations and other features.
We are given the terms as a = b^2 c^3 and c = j^2 k^5, then
we can substitute c = j^2 k^5 into the expression for a to get:
[tex]a = b^2 (j^2 k^5)^3\\= b^2 j^6 k^{15}[/tex]
Which is a correct expression for a in terms of b, j, and k.
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What table does 64 come in?
Answers
The Multiplication table that comes in the number 64 is 1, 2, 4, 8, 16, 32, and 64.
What do we mean by multiples?Multiples are numbers that are multiplied by another number to get a particular number.
In mathematics, multiples are the results of multiplying an integer by a given number.
Multiples of 5 include, for instance, 10, 15, 20, 25, 30, etc.
Numerous 7s include 14, 21, 28, 35, 42, 49, etc.
A multiple in mathematics refers to the outcome of multiplying two numbers together.
Here, the number 7 is multiple by 56.
Because the result of multiplying 0 by any number is 0, 0 is a multiple of all numbers.
So, in order to know what tables come in 64, we need to check that what numbers multiples ae 64:
64/1 = 64
64/2 = 32
64/4 = 16
64/8 = 8
64/16 = 4
64/32 = 2
64/64 = 1
Therefore, the Multiplication table that comes in the number 64 is 1, 2, 4, 8, 16, 32, and 64.
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in what circumstances is the t statistic used instead of a z-score for a hypothesis test? the t-statistic is used when the population variance (or standard deviation) is known you use the z-test when the sample size is less than 30 the t-statistic is used when the population variance (or standard deviation) is unknown
Answers
A t-statistic rather than a z-score is used when (C) the population's variance and standard deviation are unknown.
What do we mean by t-statistic?The t-statistic, which is used in statistics, measures how far a parameter's estimated value deviates from its hypothesized value relative to its standard error.
Through the Student's t-test, it is utilized in hypothesis testing.
In a t-test, the t-statistic is used to decide whether to accept or reject the null hypothesis.
When the variance and standard deviation of the population are unknown, a t-statistic is employed rather than a z-score.
The p-value is the likelihood that, if the null hypothesis is correct, each test will result in a t-value with an absolute value at least as great as the one we actually observed in the sample data.
The t-value is a way to measure the difference between population means.
Therefore, a t-statistic rather than a z-score is used when (C) the population's variance and standard deviation are unknown.
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Correct question;
In what circumstances is the t-statistic used instead of a z-score for a hypothesis test?
(A) the t-statistic is used when the population variance (or standard deviation) is known
(B) you use the z-test when the sample size is less than 30
(C) the t-statistic is used when the population variance (or standard deviation) is unknown
How do you find the algebraic value?
Answers
Bring the variable to the left side and bring all the remaining values to the right side.
Now, According to the question:
Let's know:
What is an algebraic value?
An algebraic number is a number that is a root of a non-zero polynomial in one variable with integer (or, equivalently, rational) coefficients. For example, the golden ratio, , is an algebraic number, because it is a root of the polynomial x2 − x − 1.
An algebraic formula is an equation or a rule written using mathematical and algebraic symbols and terms. It is an equation that involves algebraic expressions on both sides. The algebraic formula is a short quick formula to solve complex algebraic calculations.
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How do you solve area of the base?
Answers
Square Bases: A = s².
Rectangle-shaped bases: A = l x w.
Circular bases: A = pi x r².
Define the term base area?In geometry, a three-dimensional object's bottom is referred to as its base; if the solid's top is parallel to its bottom, it is also referred to as a base.
Square Bases:The bases of cubes as well as square pyramids are square. The length of one of a square's sides multiplied on its own, or squared, determines the area of a square: It goes like this: A = s².
Rectangle-shaped basesPyramids and several rectangular solids have rectangular bases. A rectangle's area is determined by multiplying its length, l, by it's own width, w: A = l x w.
Circular bases:Cones and cylinders have round bases. The radius of a circle, r, squared, plus the number pi, is equal to a area of the circle:
A = pi x r².
Pi is approximately 3.14.
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What is the vertex of y =- X² 4?
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The vertex of a parabola is the point at which the parabola changes direction, the vertex of y =-x² + 4 is (0, 4).
The equation for a parabola in standard form is y = ax² + bx + c. To find the vertex of y = -x² + 4, we need to use the formula x = -b/2a. In this equation, a is -1, and b is 0, so x = 0. Therefore, the vertex of y = -x² + 4 is (0, 4).
To find the vertex of a parabola, we can use the formula x = -b/2a. In this formula, a is the coefficient of x², and b is the coefficient of x. Therefore, to find the vertex of a parabola, we need to find the coefficients of x² and x and then plug them into the formula. This formula will give us the x-coordinate of the vertex, and we can then use the equation of the parabola to find the y-coordinate of the vertex. In the case of y = -x² + 4, the coefficient of x² is -1 and the coefficient of x is 0. Plugging these values into the formula, we get x = 0. We can then use the equation of the parabola to find the y-coordinate of the vertex, which is 4. Therefore, the vertex of y =-x² + 4 is (0, 4).
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What is the mean of following numbers 1 2 3 4 5 6 7?
Answers
The mean of following numbers is 4.
To find: mean of given numbers .
Given data : 1, 2, 3, 4, 5, 6, 7
Mean: Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.
Mean=[tex]\frac{Sum of all observations} {Total number of observations}[/tex]Here, sum of observations =1+2+3+4+5+6+7=28
sum of observations=28
Arithmetic mean refers to the average amount in a given group of data. It is defined as the summation of all the observation is the data which is divided by the number of observations in the data
Total number of observations =7
The number of observations provides information on the total number of values that are contained in the Dataset. This property is intended to provide an indication of the size of a Dataset.
Substituting values in above formula,
=[tex]\frac{28}{7}[/tex]=4
Therefore, the mean is 4.
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if there is $0.95 per 10 oz, how much dollars is 1 oz?
Answers
The cost of 1 oz in dollars if 10 oz cost $0.95 is $0.095
How much is 1 oz?Based on the given concept; we can solve by using ratio
Cost of 10 oz = $0.95
Cost of 1 oz = x
Equate the ratio of number of oz to cost in dollars
10 : 0.95 = 1 : x
10/0.95 = 1/x
cross product
10 × x = 0.95 × 1
10x = 0.95
divide both sides by 10
x = 0.95/10
x = $0.095
In conclusion, 1 oz cost $0.095
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"Who wrote the book 'Terrible Weather"?" Ag Perez Solve for x. The answer to each problem will match a letter that will allow you to figure out the joke. B. 4 1. 5x - 7 = 4x +3 Y. No Solution X= to N. 10 2. 6 + 2x = 7x - 9 ... X = - 3 1. - 11 3. 8x + 1 = - 8 - x S. -2 X=1 4. -5+ 12x = 18x + 7 P. 3 X=-2 V . -7 5. -4x + 3 = 5x - 13 - x E. 1 6. -10 - 11x + 24 = 3x W. 5 F. - 6 7. 8 + 3x = x + 11 + 2x 0. 3 No sofmar 8. 5 +'17x +9 = 2x + 21x + 14 A. 1 R. 2 9. 6x + 8 - 13x + 10 = 4 - 6x - 11 + 4x W. 8 10. -14 + 5 - X - 3 =x+6+x+3x Y. -13 D. O AYN 9 3 7 1 6 S 8 5 2 10 4 e #20 Solving Equations: Variables on Both Sides and Collecting L
Answers
The book 'Terrible Weather' was written by WAYNE DROPS
What is equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Solving the equations,
1) 5x-7 = 4x+3
x = 10 (N)
2) 6+2x = 7x-9
5x = 15
x = 3 (O)
3) 8x+1 = -8-x
-9x = 9
x = -1 (A)
4) -5+12x = 18x+7
6x = -12
x = -2 (S)
5) -4x+3 = 5x-13-x
8x = 16
x = 2 (R)
6) -10-11x+24 = 3x
14x = 14
x = 1 (E)
7) 8+3x = x+11+2x
3x-3x = 11-8
3 = 0
No solution (Y)
8) 5+17x+9 = 2x+21x+14
6x = 0
x = 0 (D)
9) 6x+8-13x+10 = 4-6x-11+4x
-7x+18 = -7-2x
5x = 25
x = 5 (W)
10) -14+5-x-3 = x+6+x+3x
-18 = 6x
x = -3 (P)
Now, the answer is coded as 93716 852104
Decoding with the help of the solutions of the given equations
WAYNE DROPS
Hence, the answer is WAYNE DROPS
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Graph the line x = - 1.
Answers
Answer: see below
Step-by-step explanation:
x=-1 is a vertical line at x=-1
Is unique is an array formula?
Answers
Yes, the UNIQUE function is an array function. The results of this function just need to be written once, and the full array will be filled with the results (range of cells).
What is a formula for an array?A formula with numerous computations capabilities on one or more elements in an array is known as an array formula. An array can be thought of as a row, column, or mix of rows and columns of values. Array formulae may provide a single result or a number of outputs.
Can a formula for an array produce more than one result?Array formulae may provide a single result or a number of outputs. Any formula that can provide several outcomes will automatically spill them either down, starting with the Microsoft 365 September 2018 upgrade.
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expand and simpfly (x-5)(x-4)
Answers
Answer:
x² -9x + 20
Step-by-step explanation:
x²-4x -5x + 20
x² - 9x + 20
What is the median of 1 to 50?
Answers
The median of 1 - 50 is 25.5.
The midway value in a given set of figures or data is referred to as the median. To get the average value for a given group of integers, three distinct metrics are employed in mathematics.
The first fifty numbers are 1,2,3,4,5................50
The number of terms in the data, n=50.
As the number of terms is even thus the median will be (n/2 th term + n/2 +1 th term) / 2
Median = (50/2 +50/2+1)/2
The 25th term of the sequence is 25.
The 26th term of the sequence is 26.
Median = 25+26/2 = 25.5.
Thus, the median of 1-50 is 25.5.
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The first fifty numbers are 1,2,3,4,5................50
The number of terms in the data, n=50.
Median = (50/2 +50/2+1)/2
The 25th term of the sequence is 25.
The 26th term of the sequence is 26.
Median = 25+26/2 = 25.5.
Thus, the median of 1-50 is 25.5.
if l brought a computer for $1500.00 and used my 75% off coupon. How much was the computer originally?
Answers
Answer:
$6000
Step-by-step explanation:
So, we know that
$1500 = 25%
We find 1% by taking
1500 divided by 25% = $60
We have to find the 75% off by taking
60 times 75 = $4500
Then we have to find the original price by taking
4500 + 1500 = $6000
So, the original price is $6000
Answer:
$6000
Step-by-step explanation:
The total cost is 100%
The discount was 75%
then:
100% - 75% = 25%
The percentage paid was:
25%
then:
$1500 ⇒ 25%
$A ⇒ 100%
A = 1500*100/25 = 6000
A = $6000
What is distribution of sample in R?
Answers
The repeated sampling of a population is known as distribution of sample in R.
What is sampling distribution?The probability distribution of a statistic acquired from a bigger sample size taken from a certain population is known as the sampling distribution. The frequency distribution of a variety of possible outcomes for a population statistic makes up the sampling distribution of a specific population.
What is distribution?The relationship between observations of various heights is described by the distribution, a mathematical function. Simply said, a distribution is a grouping of data, or scores, on a variable. These scores are typically listed from smallest to largest, after which they might be displayed graphically.
The probability distribution of a statistic that is acquired by repeated sampling of a particular population is called the sampling distribution. It outlines a variety of potential possibilities for a statistic, such as the mean or mode of a population's mean or mode of some variable.
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For what value of k is 4x 2 )+ 8xy KY 2 )= 9 the equation of a pair of straight lines a 0 B 4 C 9 D 9?
Answers
The equation 4x²+8xy+ky²-9 = 0 will have a pair of straight lines when k = 0.
What is an auxiliary equation?An equation obtained from the standard form of a linear differential equation by replacing the right member by zero.
Given that, an equation having a pair of straight line 4x²+8xy+ky²-9 = 0
The auxiliary equation of a line is given by, ax²+2hxy+by²+2gx+2fy+c = 0
or, abc-2fgh-af²-bg²-ch²= 0
Comparing with the given equation,
a = 4, h = 4, b = k, g = 0, f = 0 and c = -9
4k(-9)+0-0-0+9(4)² = 0
36k = 144
k = 4
Hence, The equation 4x²+8xy+ky²-9 = 0 will have a pair of straight lines when k = 0.
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What are the roots of 2x² 3x 5?
Answers
On solving the provided question we can say that, - the roots of the given equations are - x = -5/2 and x = 1
What are roots ?When referring to the values of a variable for which the supplied polynomial equals zero, we use the term "roots of a polynomial." The polynomial p(x) has zero roots if and only if an is its root. By setting each component to 0, you may solve for x to determine the roots, or solutions, of the polynomial equation P(x) = 0. Factoring is used to solve the polynomial equation. Set each component to a value of 0 (2x4), (x-6) or (x+1). Calculate x using the solution.
here,
[tex]2x^2 + 3x - 5[/tex]
(2x + 5)(x-1)
x = -5/2 and x = 1
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What is the formula for a linear function?
Answers
Answer:
⭐ There are 3 ways you can write a linear function (⭐ = most common):
⭐[tex]y = mx + b[/tex] (slope-intercept form)⭐[tex]y-y_1 = m(x-x_1)[/tex] (point-slope form)[tex]Ax + By = C[/tex] (standard form)
What are 3 consecutive numbers that have a sum of 399?
Answers
The sum of these numbers is indeed 131 + 133 + 135 = 399. Therefore, the three consecutive odd numbers are 131, 133, and 135.
What are consecutive numbers ?
Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers. For example: 1, 2, 3, 4, 5, 6, and so on are consecutive numbers.
Here we will use algebra to find three consecutive integers whose sum is 399. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 399. Therefore, you can write the equation as follows:
(X) + (X + 1) + (X + 2) = 399
To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:
X + X + 1 + X + 2 = 399
3X + 3 = 399
3X + 3 - 3 = 399 - 3
3X = 396
3X/3 = 396/3
X = 132
Which means that the first number is 132, the second number is 132 + 1 and the third number is 132 + 2. Therefore, three consecutive integers that add up to 399 are 132, 133, and 134.
132 + 133 + 134 = 399
Since, 132 + 133 + 134 equals 399 as displayed above.
Hence ,The sum of these numbers is indeed 131 + 133 + 135 = 399. Therefore, the three consecutive odd numbers are 131, 133, and 135.
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Solve for x. Round to the nearest tenth.
24
X
18
30
Answers
Answer:
x = 14.4
Step-by-step explanation:
[tex]\frac{30}{18} =\frac{24}{x}[/tex]
30x = 18*24
30x = 432
x = 14.4
The value of x in the triangle is,
⇒ x = 14.4
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
A triangle is shown in figure.
Now, We can formulate by definition of proportion as;
⇒ 30 / 24 = 18 / x
⇒ x = 18 × 24 / 30
⇒ x = 14.4
Thus, The value of x in the triangle is,
⇒ x = 14.4
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On the first day of a song's release, it had 15 million streams. If the number of streams increases by 20% per day, how many streams will there be on the seventh day? Round to the nearest million.
Answers
Answer:
45 million
Step-by-step explanation:
There will be approximately 45 million streams on the seventh day after the song's release.
How many streams will there be on the seventh day?To solve the problem, use the formula for exponential growth:
[tex]N(t) = N0 * (1 + r)^t[/tex]
where
N(t) is the number of streams at time t,
N0 is the initial number of streams,
r is the daily growth rate expressed as a decimal, and
t is the time elapsed in days.
In this case, N0 = 15 million, r = 0.2 (since the number of streams increases by 20% per day), and t = 7 (since we want to know the number of streams on the seventh day).
Plugin these values into the formula
[tex]N(7) = 15 * (1 + 0.2)^7\\N(7) = 15 * 1.2^7[/tex]
N(7) = 15 * 2.985984
N(7) = 44.78976
N(7) ≈ 45 million
Therefore, there will be approximately 45 million streams on the seventh day after the song's release.
Learn more on song release on https://brainly.com/question/32560969
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Julie wanted to match Lisa's obstacle course record of 74.6 seconds. She has already spent forty and one-fourth seconds on wall climbing and 10.56 seconds on the ropes. How much time did she have left to match the record?
23.79 seconds
29.69 seconds
34.35 seconds
64.04 seconds
Answers
Julie has spent 40.25 + 10.56 = <<40.25+10.56=50.81>>50.81 seconds on wall climbing and the ropes.
She needs to complete the course in 74.6 - 50.81 = <<74.6-50.81=23.79>>23.79 seconds to match Lisa's record. Answer: \boxed{23.79}.
please can u ans the question thank u
will mark brainliest
Answers
Answer:
( D ) x must be a number divisible by 3
Step-by-step explanation:
Rational numbers cannot be whole numbers.
( A ) x must be an odd number
if x is an odd number, Let's take x as 1 then the answer will be in rational number. So, Option A is wrong.
( B ) x must be an even number
If x is an even number, Let's take x as 2 then the answer will be in Rational number. So, Option B is wrong.
( C ) x must be a number greater than 3
Let's take x as 4, then the answer will be in Rational number. So, Option C is wrong.
( D ) x must be a number divisible by 3
Let's take x as 6 as 6 is divisible by 3, then
[tex] \frac{2}{3}x+ 1[/tex]
[tex] \frac{2}{3}(6)+ 1[/tex]
[tex]2(2) + 1[/tex]
[tex]4 + 1[/tex]
[tex]5[/tex]
Therefore, 5 is a Rational number.So, The correct option is D.4. A rectangular plate has a perimeter of 28cm. determine the dimensions of the plate that give the maximum area
Answers
Answer:
Step-by-step explanation:
The perimeter of a rectangle is the sum of its 2 widths and 2 lengths.
Lets call the width ‘W’ and the length ‘L’. The perimeter (P) is equal to 2W + 2L. So 28 = 2W + 2L which simplifies to 14 = W + L.
28/2=14
The area of a rectangle is the width multiplied by the length so the formula is A = W x L. We want to get rid of the length. So, if we rearrange the first equation 14 = W + L to make L the subject we get L = 14 - W. We can now substitute this into the area equation so we get → A = W x (14 - W). That’s your answer!