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3 years ago

5

GIVING AWAY 10 POINTS!!!!!! What is the solution to the system of equations? x = y + 4

1 answer:

slega [8]3 years ago

8 0

Answer:

x= -6, y= 10

Step-by-step explanation:

x= y + 4

2x = 3y - 2

If we replace "x" with "y+4" in the second equation we get:

2(y+4) = 3y - 2

2y + 8 = 3y - 2

2y - 3y = -2-8

-y = -10

y = 10

Now we can go back to the first equation and solve for x:

x = y + 4

x = 10 + 4 = 14

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A sphere has a radius of 11 feet. A second sphere has a radius of 8 feet. what is the difference of the volume of thespheres

Veronika [31]

The difference between the volume of the spheres is 3428.88 cubic feet

Explanation:

Given that one sphere has a radius of 11 feet.

A second sphere has a radius of 8 feet.

<u>Volume of the 1st sphere:</u>

The formula to determine the volume of the sphere is given by

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

Volume of the 1st sphere is given by

$V=\frac{4}{3}(3.14)(11)^3$

$V=\frac{4}{3}(3.14)(1331)$

$V=\frac{16717.36}{3}$

$V=5572.45$

The volume of the 1st sphere is 5572.45 cubic feet.

<u>Volume of the 2nd sphere:</u>

Volume of the 2nd sphere is given by

$V=\frac{4}{3}(3.14)(8)^3$

$V=\frac{4}{3}(3.14)(512)$

$V=\frac{6430.72}{3}$

$V=2143.57$

The volume of the 2nd sphere is 2143.57 cubic feet.

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Difference = Volume of the 1st sphere - Volume of the 2nd sphere

= 5572.45 - 2143.57

Difference = 3428.88 cubic feet.

Hence, the difference between the volume of the spheres is 3428.88 cubic feet.

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