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2 years ago

5

What is the slope of a line perpendicular to y = -7/4x?

1 answer:

dexar [7]2 years ago

6 0

A line is perpendiculat to another which has a slope of m if the perpendicular line has a slope of -1/m.
That means that if the product of slopes of two lines is -1, the two lines are perpendicular.

Here, y1=-7/4x, or m=-7/4
The perpendicular should have a slope of -1/m=-1/(-7/4)=4/7

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Suppose a square has side length equal to 16 inches. a circle with radius equal to 8 inches is inscribed inside the square. what

astraxan [27]

Well the area of the square is is 54.94^2 but the area of the circle is <span>201.06^2. I hope this helped ^^</span>

8 0

3 years ago

8. The trapezoids are similar. The area of the smaller trapezoid is 131 m2. Find the area of the larger trapezoid to the nearest

kolbaska11 [484]

Answer:

$3,726\ m^{2}$

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z----> the scale factor

x----> corresponding side of the larger trapezoid

y----> corresponding side of the smaller trapezoid

$z=\frac{x}{y}$

we have

$x=64\ m$

$y=12\ m$

substitute

$z=\frac{64}{12}$

step 2

Find the area of the larger trapezoid

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z----> the scale factor

x----> area of the larger trapezoid

y----> area of the smaller trapezoid

$z^{2}=\frac{x}{y}$

we have

$z=\frac{64}{12}$

$y=131\ m^{2}$

substitute

$(\frac{64}{12})^{2}=\frac{x}{131}$

$x=(\frac{4,096}{144})(131)$

$x=3,726\ m^{2}$

5 0

3 years ago

Hat is the slope of the linear relationship shown in this table of values?

dlinn [17]

By using any two of the points in the table, we will see that the slope is -2.

<h3>How to get the slope for the linear relationship?</h3>

A general linear relationship is:

y = a*x + b

Where a is the slope and b is the y-intercept.

Remember that if the line passes through (x₁, y₁) and (x₂, y₂), the slope is:

$a = \frac{y_2 - y_1}{x_2 - x_1}$

Here we can use the first two points on the table:

(-4, 11) and (2, -1), so the slope is:

$a = \frac{11 - (-1)}{-4 - 2} = 12/-6 = -2$

Then the slope of the line is -2.

If you want to learn more about linear relationships:

brainly.com/question/4025726

#SPJ1

8 0

2 years ago

In the proportion 2:3 = 16:24 ,the product of the two middle values is __.

klio [65]

Answer:

48 and 48

Step-by-step explanation:

product means multiplication

two middle values are 3 and 16

3*16 = 48

two outside values are 2 and 24

2*24 = 48

4 0

2 years ago

Gary is 3 years older than twice the age of His sister Elena which shows an equation for this situation

Lynna [10]

Answer: G = 2E + 3

<u>Step-by-step explanation:</u>

Let E represent Elena's age.

Then Gary(G) is two times Elena(E) plus 3 --> G = 2E + 3

8 0

3 years ago