3 years ago

D(5, 7), E4, 3), and A8, 2) form the vertices of a triangle. What is 2DER?

Mathematics

1 answer:

Sever21 [200]3 years ago

3 0

Answer:

Step-by-step explanation:

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Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. lim x→9 x − 9

luda_lava [24]

Without resorting to L'Hopitâl's rule,

$\displaystyle\lim_{x\to9}\frac{x-9}{x^2-81}=\lim_{x\to9}\frac{x-9}{(x-9)(x+9)}=\lim_{x\to9}\frac1{x+9}=\frac1{18}$

With the rule, we get the same result:

$\displaystyle\lim_{x\to9}\frac{x-9}{x^2-81}=\lim_{x\to9}\frac1{2x}=\frac1{18}$

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3 years ago

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(X2-X1)/(Y2-Y1)

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3 years ago

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Nata [24]

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Step-by-step explanation:

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3 years ago

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What is the distance between (-9, 4) and (-4, 4)?

Lunna [17]

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Step-by-step explanation:

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2 years ago

A car purchased in 2014 was worth $21,000. It has depreciated at an annual rate of 8.5%. what will its value be in 2021?

liraira [26]

Answer: The value of the car in 2021 will be $11,276.31.

Step-by-step explanation:

If r is the depreciation rate and P is the initiial amount , then the amount after t years is given by:-

$A=P(1-\dfrac{r}{100})^t$

Given: P=21000, r=8.5% , t= 2021-2014= 7

Plug all the values in the formula, we get

$A= 21000(1-\dfrac{8.5}{100})^7\\\\\Rightarrow\ A=21000(1-0.085)^7\\\\\Rightarrow\ A= 21000(0.915)^7\\\\\Rightarrow\ A= 21000(0.5369670)\approx11276.31$

The value of the car in 2021 will be $11,276.31.

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3 years ago