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2 years ago

Write an equation of the line that passes through a pair of points: (-3,1). (-2,-5)

Mathematics

1 answer:

Nat2105 [25]2 years ago

5 0

Answer:

$y=-6x-17$ (B)

Step-by-step explanation:

$y=mx+b\\m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{1--5}{-3--2} = \frac{6}{-1} = -6\\y=-6x+b\\$

Plug in one of the two points for X and Y

(-3,1)

$1=-6(-3)+b\\1=18+b\\b=-17\\\\y=-6x-17$

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Step-by-step explanation:

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Since radius is half of diameter.

Radius of gumball = $\frac{diameter}{2}=\frac{66}{2} =33 \ mm$

Now We will first find the Volume of Gumball.

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Now Volume of Gumball = $\frac{4}{3}\times3.14 \times (33)^3 = 150456.24 \ mm^3$

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Since radius is half of diameter.

Radius of gumball's spherical hollow core = $\frac{diameter}{2}=\frac{58}{2} =29 \ mm$

Now We will find the Volume of gumball's spherical hollow core.

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So, To find volume of the gumball without including its hollow core we would Subtract Volume of gumball spherical hollow core from Volume of Gumball.

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Rounding to nearest tenth we get;

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