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VladimirAG [237]

2 years ago

12

There are 314 people in Geometrytown. The town is circular. The diameter is 10 miles. What is the population in people per squar

e mile?

1 answer:

kupik [55]2 years ago

3 0

Answer:

4 people/mi²

Step-by-step explanation:

The diameter is 10 miles, so the radius is 5 miles. The area of the town is:

A = πr²

A = π (5 mi)²

A ≈ 78.5 mi²

So the population per square mile is:

314 people / 78.5 mi² ≈ 4 people/mi²

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Question:

Find the point (,) on the curve $y = \sqrt x$ that is closest to the point (3,0).

[To do this, first find the distance function between (,) and (3,0) and minimize it.]

Answer:

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Step-by-step explanation:

$y = \sqrt x$ can be represented as: $(x,y)$

Substitute $\sqrt x$ for $y$

$(x,y) = (x,\sqrt x)$

So, next:

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Distance is calculated as:

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$(x,y) = (\frac{5}{2},\frac{\sqrt{10}}{2}})$

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