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point slope form = y-(-43)=[tex]-\frac{2}{21}[/tex](x-3)

slope intercept form = -[tex]\frac{152}{7}[/tex]=c

Finding the ratio of "vertical change" to "horizontal change" between any two unique locations on a line yields the slope. Occasionally, the ratio is written as a quotient (also known as a "rise over run"), which produces the same number for every two unique points on the same line. Negative "rise" refers to a diminishing line. The line could be functional, established by a road surveyor, or depicted in a graphic that represents a road or a roof as a description or a design.

The absolute value of the slope is used to determine how steep, incline, or grade a line is. The steeper the line, the larger the absolute magnitude of the slope. A line's direction might be either horizontal, ascending, decreasing, or vertical

If a line is rising from left to right, it is increasing. Since m>0, the slope is positive.

If a line decreases from left to right, it is said to be diminishing. The slope is inverse, or m0.

A line has zero slope if it is horizontal. This function has a fixed value.

A line's slope is ambiguous if it is vertical.

Slope= [tex]\frac{x-x1}{y-y1}[/tex]= [tex]\frac{3-5}{-22+43}[/tex]=[tex]\frac{-2}{21}[/tex]

point slope form= y-(-43)=[tex]-\frac{2}{21}[/tex](x-3)

slope intercept formy=mx+c

-22=[tex]-\frac{2}{21}[/tex]*3+c

-22+[tex]\frac{2}{7}[/tex]=c

-[tex]\frac{152}{7}[/tex]=c

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Answer:

x ∠ 40

Step-by-step explanation:

0.5x ∠ 20

Divide both sides by 0.5:

x ∠ 40

Using a system of equations, it is found that:

b) The domain of the solution is that Steve ran 11 miles.

c) Variable S gives the distance ran by Steve.

d) The algebraic expressions are:  K = 4 + S, K + S = 26.

e) The equation is: 4 + S + S = 26.

What is a system of equations?

A system of equations is when multiple variables are related, and equations are built to find the numeric values of each variable, according to the relations built in the problem.

In the context of this situation, the variables are given as follows:

Variable K: Distance ran by Kevin.

Variable S: Distance ran by Steve.

Kevin ran 4 miles more than Steve ran, hence:

K = 4 + S.

The sum of their distances is 26 miles, hence:

K + S = 26.

Replacing the first equation K = 4 + S on the second, we have that:

4 + S + S = 26

2S = 22

S = 11 miles.

Answer:

Given that the information,

Length of a  soccer practice = 90 minutes

Time that has elapsed = m minutes

Let "y" be the minutes left

Expression for the number of minutes left is

[tex]y = (90 - m) min[/tex]

It is given that area of rectangle of Kaitlin is 1500 sq.ft. with length 50 ft and a width of 30 ft.

The new area when new length 2 times the current length and the new width 2 times the current width.

a. The size of Kaitlin new patio is

b. The area of new patio is 4 times the area of current patio.

Answer:

Step-by-step explanation:

Given,

The phrase is,

Six less than the quotient of nine and a number

Consider, the number is x.

The mathematicsl expression of quotient of nine and a number is,

The mathematical expression of six less than is,

Combining both statements then,

Hence, the mathematical expession is 9/x -6.

Answer:

9/x -6

Step-by-step explanation:

Step-by-step explanation:

hola nose inglés q te valla bien

Answer:

you can start out by writing the number in standard form, which means that it shouldn't exceed to 10 . So in this case, we are writing it as 3.01⋅10−4 instead of 30.1⋅10−3 , hope it helpeful

Answer:

point form : (-2 , -1)

equation form : x = -2 , y = -1

Step-by-step explanation:

( 5x + 9 = -2x - 5)

for y = 5x + 9 (substitute x = -2)

y = 5(-2) + 9 = -1

Let's begin by identifying key information given to us:

The boiling point of water is 100 degrees Celsius

We will convert this temperature to Fahrenheit to obtain its equivalent using the formula:

Therefore, the first option is the correct answer (212 degrees Fahrenheit & 100 degrees Celsius)

Company B has the best buy with a selling price of $2.79

Given: Company A sells 16 lions for $44.32

Company B sells 18 lions for $50.22

Company C sells 12 lions for $ 32.88

To find : The selling price of each lion

By using unitary method we get,

Company A sells 1 lion for $ 2.77

Company B sells 1 lion for $2.79

Company C sells 1 lion for $ 2.74

From the above statistics it is clear that Company B has the best buy .

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4 is the numerical length of line segment LN.

A line segment is simply the part of a line that connects two points or is bounded by two points.

Given the data in the question;

Since point M is on line segment LN, segment LN equals to the sum of segment LM and MN.

Hence;

Segment LN = segment LM + segment MN

4x = 3 + x

Solve for x

4x - x = 3

3x = 3

x = 3/3

x = 1

Now, we find the numerical length of segment LN;

Segment LN = 4x

Plug in x = 1 and simplify

Segment LN = 4( 1 )

Segment LN = 4

Therefore, the length of segment LN is 4.

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The measure of the angles x and y are 71 degrees and 109 degrees after applying the concept of vertically opposite angles.

It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.

From the figure:

The value of y can be found by applying the concept of vertically opposite angles:

y =  109 degrees

x = [360 - 2(109)]/2

x = (360 - 218)/2

x = 71 degrees

Thus, the measure of the angles x and y are 71 degrees and 109 degrees after applying the concept of vertically opposite angles.

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Answer:

picture

Step-by-step explanation:

everything in the picture

i hope that this helps

Answer:

the answer is -1 .........

The possible solutions for the given function are as follows:

In the graph,  the real roots are the values when it crosses the x-axis.

Therefore, the possible solutions for the given function are as follows:

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Answer:

Step-by-step explanation:

I think it is option E) 7

The food that the former world record holder should eat per day is 0.33kg.

The first step is to determine the ratio of the smallest horse's food per day to the height of the horse. This can be determined by dividing the food eaten per day by the height of the horse.

Division is the operation used in mathematics that is used to determine the quotient of two or more numbers

Ratio of the height and food eaten per day = 0.3 / 42.5

The next step is to multiply the ratio gotten in the previous step by the height of the former world holder

Food the former holder should eat = (0.3 / 42.5) x 46.25 = 0.33 kg

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Answer:

1 / 121

Step-by-step explanation:

4^0 = 1

11^2 = 121

4^0 / 11^2 = 1 / 121

closed circles are at negative 2 and positive 8. everything between the points is shaded.

We have the equation:

|h - 3| [tex]\leq[/tex] 5

Remember that the equation:

|f(x)| = A

with A > 0

means that:

f(x) = A

or

f(x) = -A

Then for our case, we can rewrite:

|h - 3| [tex]\leq[/tex] 5

as:

(h - 3) [tex]\leq[/tex] 5

or

-(h - 3) [tex]\leq[/tex] 5

Now we can solve these two equations to find the two possible values of p.

From the first one, we get:

h [tex]\leq[/tex] 8

Now from the other equation, we can get the other solution:

h [tex]\geq[/tex] -2

Then the correct option is:

closed circles are at negative 2 and positive 8. everything between the points is shaded.

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Answer:

10.069 +420 =430.069

Step-by-step explanation:

first step is to add the number 420 to the number before the decimal so 420+10 which equals to 430

Then

u add the number that comes after the decinal together or if only one of them has a number after the decimal place back that number after youre given answer....

the dimensions of the box is length 20 and width 40inches with maximum volume that can be sent. is V = 16000 inches ^3

length + girth=116 inches

w + 4x= 120

volume=x^2*w

w=120-4x

V=x^2* (120-4x)

for max value, dv/dx=0

dv/dx= 240x-12x^2

240x-12x^2=0

20-x=0

x=20

w=120-4(20)

=40

V=20^2*40==16000inches^3

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Step-by-step explanation:

[tex] \frac{1}{a + b} \times ( \frac{a + b}{ab}) = \frac{1}{ab} [/tex]

Answer with step-by-step explanation:

[tex](a+b)^-^1*(a^-^1+b^-^1)=(ab)^-^1[/tex]

First, convert these into positive indices.

[tex]\frac{1}{(a+b)} *(\frac{1}{a} +\frac{1}{b})=\frac{1}{ab}[/tex]

And now, let us solve the left side.

[tex]\frac{1}{(a+b)} *(\frac{1}{a} +\frac{1}{b})\\\\[/tex]

First, solve the brackets. That is add the fractions inside the brackets.

[tex]\frac{1}{(a+b)} *(\frac{1}{a} +\frac{1}{b})\\\\\frac{1}{(a+b)}*(\frac{1*b}{a*b} +\frac{1*a}{b*a})\\\\\frac{1}{(a+b)}*(\frac{b}{ab} +\frac{a}{ab})\\\\\frac{1}{(a+b)}*\frac{(a+b)}{ab}[/tex]

Now multiply the fractions.

[tex]\frac{1}{ab}[/tex]

So, it's clear that the left side equals the right side.

Left side = Right side

[tex]\frac{1}{ab}=\frac{1}{ab}[/tex]

∴ [tex](a+b)^-^1*(a^-^1+b^-^1)=(ab)^-^1[/tex]

The constant of proportionality is known as the slope of the line.In the graph constant of proportionality is 1/2

The constant of proportionality is known as the slope of the line.

Constant of proportionality is nothing but slope of a line

The formula for calculating slope is expressed as:

m = y₂-y₁/x₂-x₁

Given the coordinate points (2/3, 3/4 ) and (0,0).

y₂=0, y₁=3/4, x₂=0,x₁ =2/3

substitute the values of  y₂=0, y₁=3/4, x₂=0,x₁ =2/3 in slope formula to get constant of proportionality.

The constant of proportionality is expressed as:

m = 3/4 × 2/3

m =6/12

m=1/2

Hence the constant of proportionality is 1/2

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Answer:

F(x)=-(x+4)(x-1)

Step-by-step explanation:

the thing hit both -4 and 1 but in the function -4 become 4 and 1 become-1 so (x+4)(x-1) but we need to make it negative so -(x+4)(x-1)

We have the following number, we need to simplify:

we can also express this as:

since:

which represents the imaginary number,

then, we get:

Answer:

lower bound for area = 140.25 square cm

upper bound for perimeter = 54 cm

======================================================

Explanation:

L = length

W = width

The unknown length L is rounded to the nearest cm to get to 17

This means it's in the interval [tex]16.5 \le L < 17.5[/tex]

The smallest it can get is L = 16.5 since that rounds to 17

It doesn't reach 17.5 since that would round to 18. But it could be L = 17.49 or L = 17.499 or L = 17.4999 and so on.

Similarly, if the unknown width W rounds to 9 cm, then its unrounded value is somewhere in the interval [tex]8.5 \le W < 9.5[/tex]

------------------------

Select the lower bounds of L and W to compute the lower bound of the area

length*width = L*W = 16.5*8.5 = 140.25

The smallest area possible is 140.25 square cm.

--------------------------

Use the upper bounds of each L and W to find the upper bound of the perimeter.

P = 2(L+W)

P = 2(17.5 + 9.5)

P = 54

In the previous example, we could have a true area of 140.25 square cm. However in this case, there's no way to reach this upper bound 54 itself. This is the so called "ceiling" which we can think of as an electric fence or asymptote value.

We could have the following example perimeter values that approach 54 but not actually reach it

and so on.

The number of terms in the sequence is 19

The sequence is given as

5, 7, 9 . . . 39, 41

In the above sequence, we can see that

The nth term of an arithmetic sequence is

Tn = a + (n - 1)d

So, we have

5 + (n - 1) * 2 = 41

This gives

(n - 1) * 2 = 36

Divide by 2

n - 1 = 18

Add 1 to both sides

n = 19

Hence, there are 19 numbers in the sequence

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