2 years ago

What is the slope and y-intercept for -6x + 4y = -12

Mathematics

1 answer:

Anestetic [448]2 years ago

6 0

Slope: 3/2
Y-Intercept: -3

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A sphere has a radius of 4 inches. What is the surface area of the smallest cube that could circumscribe the sphere?

vovikov84 [41]

Answer:

$SA=384\ in^2$

Step-by-step explanation:

we know that

The smallest cube that could circumscribe the sphere has a length side equal to the diameter of the sphere

In this problem

The radius of the sphere is $r=4\ in$

The diameter of the sphere is two times the radius

$D=2r=2(4)=8\ in$

The length side of the cube is

$b=8\ in$

Remember that

The surface area of a cube is equal to the area of its six faces

$SA=6b^2$

substitute the value of b

$SA=6(8)^2$

$SA=384\ in^2$

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