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vfiekz [6]
3 years ago
11

Write the equation of the line that passes through (8,1) and is perpendicular to the line whose equation is y=−4x+2. Show all wo

rk below and place it in Slope Intercept Form.
Mathematics
1 answer:
scoundrel [369]3 years ago
3 0

Answer:

\displaystyle y = \frac{1}{4}x - 1

Step-by-step explanation:

1 = ¼[8] + b

2

\displaystyle -1 = b \\ \\ y = \frac{1}{4}x - 1

* Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE <em>RATE OF CHANGES</em> [<em>SLOPES</em>], so −4 becomes ¼.

I am joyous to assist you anytime.

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Help me please and explain. <br><br>FIND THE AREA OF THE UNSHADED REGION ​
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To solve this first find the area of each of the white shapes inside the rectangle

The formula for the area of a circle is:

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In this case we know that the radius is 2

Plug what you know into the area of a circle formula:

A = π2²

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A = 4π

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The formula for the area of a square is:

A = Length x Height

In this case we know that both length and height are 3

Plug what you know into the formula for area of a square:

A = 3 x 3

A = 9

To find the area of the UNSHADED region simply add together the area of the circle (12.57) with the area of the square (9):

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To find the area of the SHADED region find the total area of the surrounding rectangle then subtract the area of unshaded area from the total area of the surrounding rectangle.

The formula for the area of a rectangle is:

A = Length x Height

The length is 10 and the height is 7

A = 10 x 7

A = 70

Shaded region:

70 - 21.57 = 48.43

Unshaded region: 21.57

Total area of surrounding rectangle: 70

Shaded region: 48.43

Hope this helped!

~Just a girl in love with Shawn Mendes

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