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Gala2k [10]
2 years ago
13

The length of a rectangle is 12 feet. the width of the rectangle is (1)/(2) the length. what is the perimeter of the rectangle i

n feet?
18
24
30
36
72
Mathematics
1 answer:
madreJ [45]2 years ago
4 0

Answer:

36 feet

Step-by-step explanation:

width is 12/2 or 6

12(2) + 6(2) = 36

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What is the equation of the circle whose diameter has endpoints (8,-2) and (-2,6)?
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Answer:

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Step-by-step explanation:

step 1

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the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

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substitute the values

d=\sqrt{(6+2)^{2}+(-2-8)^{2}}

d=\sqrt{(8)^{2}+(-10)^{2}}

d=\sqrt{164}\ units

d=2\sqrt{41}\ units

step 2

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The center is the midpoint of the diameter

The center is equal to

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step 3

Find the equation of the circle

The equation of the circle in center radius form is equal to

(x-h)^{2} +(y-k)^{2}=r^{2}

we have

(h,k)=(3,2)

r=2\sqrt{41}/2=\sqrt{41}\ units ---> the radius is half the diameter

substitute

(x-3)^{2} +(y-2)^{2}=(\sqrt{41})^{2}

(x-3)^{2} +(y-2)^{2}=41

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