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4 years ago

Write an equation of a line in slope intercept form that is parallel to y = 3x+6 and passes through the point (-10, 2.5)

Mathematics

1 answer:

TiliK225 [7]4 years ago

3 0

1) Line should be parallel to y = 3x+6, so slope of this line should be =3.

y=mx +b

y=3x +b

Now we have to find b (y-intercept), using the point (-10, 2.5).

2.5 = 3*(-10)+b

b=2.5+30=32.5

y=3x + 32.5

2) The line should be perpendicular to y = -4x -2, so its slope is going to be negative reciprocal m= 1/4.

Now we have to find b (y-intercept), using the point (-16, -11).

y=(1/4)x +b

-11=(1/4)*(-16) + b

-11 = -4 +b

b = -7

y=(1/4)x - 7

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3 years ago

A sphere has a surface area of 36π ft2. Find the volume of the sphere.

Stella [2.4K]

The surface area of the sphere is given by the equation

$A=4\pi * r^{2}$ ,

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We want to find the volume of the sphere, which is given by the equation

$V = \frac{4}{3} * \pi * r^{3}$ ,

where V is the volume and r is the radius.

Looking at these equations, we see that they both involve the sphere's radius. If we know what r is, we can calculate the volume.

We know that the sphere's surface area is $36 \pi$ . Plugging that in for A in the surface area equation, we get

$36 \pi=4\pi * r^{2}$ , then divide by $\pi$

$36 = 4 * r^{2}$ , then divide by 4

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$r = 3$

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$V = \frac{4}{3} * \pi * 3^{3}$ , simplify terms

$V = \frac{4}{3} * \pi * 27$ , multiply $\frac{4}{3}$ by 27

$V = 36 * \pi$

So the volume of the sphere is $36\pi$ .

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Step-by-step explanation:

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3 years ago

Help I don’t know the answer

MrRissso [65]

They’re adjacent, because they are next to each other. That’s literally the definition of adjacent.

Hope that helps.

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