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mixas84 [53]
3 years ago
10

Find the distance between (2,0) and (8, -3) The distance d between the points (X1, Yı) and (x2, Y2) is

Mathematics
1 answer:
NISA [10]3 years ago
8 0

Answer:

d =3√5

Step-by-step explanation:

(2,0) =(x_1,y_1)\\ (8, -3) =(x_2,y_2)\\\\d =\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\d=\sqrt{\left(8-2\right)^2+\left(-3-0\right)^2}\\\\d = \sqrt{(6)^2+(-3)^2}\\ \\d = \sqrt{36+9}\\ \\d = \sqrt{45} \\\\d = 3\sqrt{5}

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The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas
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Answer:

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Step-by-step explanation:

The population of a town grows at a rate proportional to the population present at time t.

This means that:

P(t) = P(0)e^{rt}

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

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This means that P(0) = 500, P(10) = 1.25*500 = 625

We apply this to the equation and find t.

P(t) = P(0)e^{rt}

625 = 500e^{10r}

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Applying ln to both sides

\ln{e^{10r}} = \ln{1.25}

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P(t) = 500e^{0.0223t}

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