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4 years ago

E is the midpoint of df. de =6x and ef=3x+6. find de, ef, and df.

1 answer:

mihalych1998 [28]4 years ago

7 0

Since E is a midpoint, we can set de and ef equal to each other to find the value of x.

6x = 3x + 6
3x = 6
x = 2

Then we can plug in x=2 and find that both de and ef are 12. Then since E is the midpoint of df, we can add de and ef to find the value of df.

12 + 12 = 24

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Step-by-step explanation:

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Lana71 [14]

Answer:

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Step-by-step explanation:

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Solving by separation of variables, then integrating both sides, we have that:

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At time t = 0 hours, the population is 300.

This means that K = 300. So

$P(t) = 300e^{rt}$

At time t = 24 hours, the population is 1000.

This means that P(24) = 1000. We use this to find the growth rate. So

$P(t) = 300e^{rt}$

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$e^{24r} = \frac{1000}{300}$

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$\ln{e^{24r}} = \ln{\frac{10}{3}}$

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$P(t) = 300e^{0.05t}$

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This is t for which P(t) = 500. So

$P(t) = 300e^{0.05t}$

$500 = 300e^{0.05t}$

$e^{0.05t} = \frac{500}{300}$

$e^{0.05t} = \frac{5}{3}$

$\ln{e^{0.05t}} = \ln{\frac{5}{3}}$

$0.05t = \ln{\frac{5}{3}}$

$t = \frac{\ln{\frac{5}{3}}}{0.05}$

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3 years ago

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Answer:

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To find the slope of a line, we can use the equation y2-y1/x2-x1=m or slope.

All we can do now is insert the values of the points into the equation.

-8-7/-4-1=m

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3 years ago

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Answer:

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