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3 years ago

What is the solution of the system of equations? y= -2x+8 y= x-4

Mathematics

2 answers:

Taya2010 [7]3 years ago

7 0

X=4, y=0 my answer is too short but I'm to lazy to type the whole pr0cess

Alinara [238K]3 years ago

4 0

We can solve by substituting x-4 for y in the first equation.
x-4 = -2x+8
3x = 12
x = 4

Then plug in 4 for x in one of the equations.
y = 4-4
y = 0
OR
y = -2(4)+8
y = -8+8
y = 0

So the solution is (4,0)

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The volume of a sphere can be described by the following formula, where V = volume and r = radius of the sphere.

Anika [276]

Option C: $r = \sqrt[3]{\frac{3V}{4\pi} }$ is the right answer

Step-by-step explanation:

Given formula for volume of a sphere is:

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

We have to make r the subject of the formula

Multiplying equation by 3/4

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

Dividing both sides by pi

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

Taking cube root on both sides

$\sqrt[3]{\frac{3V}{4\pi} } = \sqrt[3]{r^3} \\ r = \sqrt[3]{\frac{3V}{4\pi} }$

Hence,

Option C: $r = \sqrt[3]{\frac{3V}{4\pi} }$ is the right answer

Keywords: Volume, Sphere

Learn more about volume at:

#LearnwithBrainly

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