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4vir4ik [10]
2 years ago
15

Find the distance between the points (6, -4) and (0, 5). A. 117 B. 37 C. 313−−√ D. 37−−√

Mathematics
1 answer:
Artist 52 [7]2 years ago
5 0

Answer:  Choice A)  \sqrt{117}

Work Shown:

(x_1,y_1) = (6,-4) \text{ and } (x_2, y_2) = (0,5)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(6-0)^2 + (-4-5)^2}\\\\d = \sqrt{(6)^2 + (-9)^2}\\\\d = \sqrt{36 + 81}\\\\d = \sqrt{117}\\\\d = \sqrt{9*13}\\\\d = \sqrt{9}*\sqrt{13}\\\\d = 3\sqrt{13}\\\\d \approx 10.8167\\\\

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Click here What is the average rate of change for this exponential function for the interval from x=2 to x = 4? 15 10 -5 5 10 O
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Answer:

c. 6

Step-by-step explanation:

Given

See attachment for graph

Required

Average rate of change

This is calculated as:

Rate = \frac{f(b) - f(a)}{b - a}

Where

(a,b) = (2,4)

So, we have:

Rate = \frac{f(4) - f(2)}{4 - 2}

Rate = \frac{f(4) - f(2)}{2}

Using the attached graph, we have:

f(2) = 4

f(4) = 16

So, we have:

Rate = \frac{16- 4}{2}

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4 0
2 years ago
Dvds are for $24 each,felipe write the expression 4 times 24 to find the costin dollars of buying 4 dvds, how can i rewrite feli
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The distributive property states that:

a(b+c)=ab+bc.

or more generally: a(b+c+d)=ab+av+ad.



This is a very useful tool to perform multiplication.

For example, if we want to multiply 7 by 234, we can proceed as follows:

7*234=7(200+30+4)=7*200+7*30+7*4=1400+210+28=1610+28=1638


back to our problem,

4 * 24 = 4(20+4)=4*20+4*4=80+16=96  ($)

So, instead of multiplying 4 by 24, we multiplied 4 by 20 and 4, which is easier, and then added these together.


Answer:  

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5 0
2 years ago
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