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nexus9112 [7]
3 years ago
11

The slope between the points (-1,-5) and (r, -9) is 2. What is the value of r?

Mathematics
1 answer:
Gnom [1K]3 years ago
4 0

Answer:

r = 2

Step-by-step explanation:

slope = (y2 - y1)/(x2 - x1)

(-1, -5)

(r, -9)

-5 - (-9) / -1 - r = 2

4 / -1 - r = 2

r = -2

-1 - (-3) = 2

4 / 2 = 2

Please let me know if I've gotten anything wrong!

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The perimeter is 14 units

<em></em>

Step-by-step explanation:

Given

A = (-2,2)

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D = (-2,-2)

Required

Determine the perimeter

To do this, we simply calculate the distance between the sides of the rectangle i.e. AB, BC, CD and DA.

Distance (d) is calculated using:

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

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B = (1,2) --- (x_2,y_2)

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For BC

B = (1,2) --- (x_1,y_1)

C = (1,-2) --- (x_2,y_2)

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For CD

C = (1,-2) --- (x_1,y_1)

D = (-2,-2) --- (x_2,y_2)

CD = \sqrt{(1 - -2)^2 + (-2 -- 2)^2} = \sqrt{9} = 3

For DA

D = (-2,-2) --- (x_1,y_1)

A = (-2,2)  --- (x_2,y_2)

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So, the perimeter (P) is:

P = AB + BC + CD + DA

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