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suter [353]
3 years ago
8

Please help! Will mark brainliest!

Mathematics
1 answer:
hodyreva [135]3 years ago
7 0
What is the question?
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What is the equation of the line that is perpendicular to -2/5x-7 and passes through (4,-1)?
alukav5142 [94]

Step-by-step explanation:

maybe this is not the full expression, as you wrote the line equation in a funny way.

I understand the following :

the line is

y = (-2/5)×x - 7

perpendicular means crossing at a right angle (90 degrees).

the slope of the original line is -2/5.

as in every line equation, the slope is the factor of x. and it expresses the ratio y/x indicating the amount of units y is changing, when x changes a certain amount of units (e.g. when going from one point on the line to another).

the perpendicular slope turns the original y/x ratio upside-down, and also flips the sign.

so, it is 5/2.

the equation for the perpendicular line looks like

y = (5/2)×x + b

now what is b ?

for this we use the specified point on the line : (4, -1)

and we put these values as x and y into the equation :

-1 = (5/2)×4 + b = 5×2 + b = 10 + b

b = -11

and so, the full equation of the perpendicular line is

y = (5/2)×x - 11

3 0
2 years ago
Find the total service area of this cone. leave your answer in terms of pi. <br> r=10in h=24in
daser333 [38]

Answer:

36pie inch²

Step-by-step explanation:

Answer attached

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em>:</em><em>)</em>

5 0
2 years ago
What is the area of a triangle that has a base of 15 yards and a height of 11 yards?
erma4kov [3.2K]

Answer:

82.5

Step-by-step explanation:

The formula for the area of triangle is 1/2 B * H

1/2 of the base is 7.5

multiply that by 11

and you get

82.5

4 0
3 years ago
Rearrange the equation a = 1/2 b to make b the formula
Evgesh-ka [11]

Answer: b = 2a

Step-by-step explanation:

<u>Original equation</u>

a = (1/2) b

<u>Multiply 2 on both sides</u>

a * 2 = (1/2) b * 2

\Large\boxed{b=2a}

Hope this helps!! :)

Please let me know if you have any quesitons

8 0
1 year ago
Read 2 more answers
How do I solve this?
Ivenika [448]

\overline{XS}\cong\overline{YT}\Rightarrow 3m+7=4.2m+5\ \ \ |-7\\\\3m=4.2m-2\ \ \ \ |-4.2m\\\\-1.2m=-2\ \ \ \ |:(-1.2)\\\\m=\dfrac{2}{1.2}\\\\m=\dfrac{20}{12}\\\\m=\dfrac{5}{3}\to m=1\dfrac{2}{3}


\overline{YS}\cong\overline{XT}\Rightarrow3\dfrac{1}{2}r+2=2r+5\ \ \ \ |-2\\\\3\dfrac{1}{2}r=2r+3\ \ \ \ |-2r\\\\1\dfrac{1}{2}r=3\ \ \ |\cdot2\\\\3r=6\ \ \ \ |:3\\\\r=2

7 0
3 years ago
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