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2 years ago

distance race is 42 kilometers . Kylie has completed 16 distance races . How many kilometers has she run? Show your work.

Mathematics

1 answer:

wel2 years ago

3 0

Answer:

Kylie has ran 672 kilometers

Step-by-step explanation:

16 x 42 = 672

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$\large\boxed{A.\ (x+6)^2+(y+10)^2=20}$

Step-by-step explanation:

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

(h, k) - center

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The formula of a midpoint:

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

Substitute:

$x=\dfrac{-8+(-4)}{2}=\dfrac{-12}{2}=-6\\\\y=\dfrac{-6+(-14)}{2}=\dfrac{-20}{2}=-10$

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The radius is the distance between a center and the point on a circumference of a circle.

The formula of a distance between two points:

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

Substitute (-6, -10) and (-8, -6):

$r=\sqrt{(-8-(-6))^2+(-6-(-10))^2}=\sqrt{(-2)^2+4^2}=\sqrt{4+16}=\sqrt{20}$

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3 years ago

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