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Maru [420]
2 years ago
7

A box is in the shape of a right rectangular prism. The base of the box has an area of 15 square inches. The height of the box i

s 12 inches. What is the volume in cubic inches, of the box
Mathematics
1 answer:
nata0808 [166]2 years ago
7 0
The answer is 180cubic2 (square)
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Find an equation of the circle that satisfies the given conditions.
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The equation of a circle:
(x-h)^2+(y-k)^2=r^2
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r - the radius

The midpoint of the diameter is the centre of a circle.
The coordinates of the midpoint:
(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})
(x₁,y₁), (x₂,y₂) - the coordinates of endpoints

P(-1,1) \\
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The radius is the distance between an endpoint of the diameter and the centre.
The formula for distance:
d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

(-1,1) \\ x_1=-1 \\ y_1=1 \\ \\ (2,5) \\ x_2=2 \\ y_2=5 \\ \\ d=\sqrt{(2-(-1))^2+(5-1)^2}=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}=5

The radius is 5.

(x-2)^2+(y-5)^2=5^2 \\
\boxed{(x-2)^2+(y-5)^2=25}
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How do you simplify this expression step by step?
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Step-by-step explanation:

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