2 years ago

Which of the following steps were applied to ABCD to obtain A'B'C'D?

Mathematics

1 answer:

Llana [10]2 years ago

4 0

Move ABCD 3 units to the left and 2 units up. (x-3, y+2)

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6. Two points in the plane, ????(19,4) and ????(19,−6), represent the endpoints of the diameter of a circle.

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Radius = 5

center is (19,-1)

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Step-by-step explanation:

Two points in the plane, (19,4) and (19,−6), represent the endpoints of the diameter of a circle.

Distance between the points is calculated using formula

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

$=\sqrt{\left(19-19\right)^2+\left(-6-4\right)^2}=10$

diameter = 10

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midpoint is the center of the circle

$\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)$

$\left(\frac{19+19}{2},\:\frac{-6+4}{2}\right)$

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$(x-h)^2(y-k)^2= r^2$

h,k is the center and r is the radius

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C=100.I used the Pythagorean theorem just in case next time you run into this problem.

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