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spayn [35]
3 years ago
7

What is the distance from (−4, 0) to (2, 5)? Round your answer to the nearest hundredth. (4 points) Group of answer choices 7.81

8.17 8.58 10.4
Mathematics
2 answers:
bekas [8.4K]3 years ago
6 0
√(6² + 25)
√(36 + 25)
√61
7.81
Lemur [1.5K]3 years ago
5 0

Answer:

The answer should be 7.81

Step-by-step explanation:

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Step-by-step explanation:

So, we have the function f(x)=1/x. We need to find b such that the average rate of change or the slope is -1/8 between the intervel [2, b]. First, let's find f(2).

f(2) = 1/(2) = 1/2

So, we have the point (2, 1/2)

At point b, f(b) = 1/b.

Let's plug this into the slope formula:

\frac{y_2-y_1}{x_2-x_1}=\frac{.5-\frac{1}{b} }{2-b}  =-1/8

Now, we just need to solve for b. First, let's multiply both the numerator and denominator by b (to get rid of the annoying fraction in the numerator).

\frac{.5b-1}{2b-b^2} =\frac{-1}{8}

Now, cross multiply.

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Solve for b. Factor using the numbers -4 and -2.

=(b-4)(b-2)=0

Thus, b=4 or b=2.

However, b=2 is not a possible solution since the interval [2,2] means nothing. Thus, b=4.

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3 years ago
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