1 year ago

Identify the solution to the system of Equations. Explain how the graph shows this solution

Mathematics

1 answer:

Gelneren [198K]1 year ago

5 0

Given the system of equations

$\begin{gathered} y=\frac{1}{3}x-8 \\ y=-\frac{5}{3}x-2 \end{gathered}$

The graph shows the solotion of the equations

The point of intersection of the two lines is the solution of the equations

Therefore, the solution is

$(3,-7)$

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natka813 [3]

(3+8-4)×2-12
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3 years ago

Find the surface area of a sphere with a volume of 36π in3.

swat32

First use known volume to solve for radius:
$V=\frac{4}{3}\pi r^{3}$
$r=\sqrt[3]{\frac{3V}{4\pi}}$
$r=\sqrt[3]{\frac{3(36\pi)}{4\pi}}$
$r=\sqrt[3]{27}$
$r=3$

Then use the radius to get the surface area:
$A_{surf}=4 \pi r^{2}$
$A_{surf}=4 \pi 3^{2}$
$A_{surf}=4 \pi 9$
$A_{surf}=36\pi\approx113.09$