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3 years ago

9

Select the correct answer. The equation of a line in the point-slope form is show below. y - 9 = ls 1/5(x - 2) What is the slope

of this line?
Answer Choices:
A. 2
B. 1/9
C. 5
D. 1/5

1 answer:

fredd [130]3 years ago

7 0

The slope for this is 1/5

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Select the correct answer. You have this information about ΔABC, ΔFDE, and ΔGIH: AB = DF AB = GI BC = HI DE = HI m∠B = m∠D = m∠I

choli [55]

Answer:

c

Step-by-step explanation:

plato

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3 years ago

If 4C + 3 = 15, what is the value of C?

Soloha48 [4]

4c+3=15
You need to get rid of the 3
So you minus it from each side so you
4c=12
12/4=3
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3 years ago

Read 2 more answers

4. a) A ping pong ball has a 75% rebound ratio. When you drop it from a height of k feet, it bounces and bounces endlessly. If t

Klio2033 [76]

First part of question:

Find the general term that represents the situation in terms of k.

The general term for geometric series is:

$a_{n}=a_{1}r^{n-1}$

$a_{1}$ = the first term of the series

$r$ = the geometric ratio

$a_{1}$ would represent the height at which the ball is first dropped. Therefore:

$a_{1} = k$

We also know that the ball has a rebound ratio of 75%, meaning that the ball only bounces 75% of its original height every time it bounces. This appears to be our geometric ratio. Therefore:

$r=\frac{3}{4}$

Our general term would be:

$a_{n}=a_{1}r^{n-1}$

$a_{n}=k(\frac{3}{4}) ^{n-1}$

Second part of question:

If the ball dropped from a height of 235ft, determine the highest height achieved by the ball after six bounces.

$k$ represents the initial height:

$k = 235\ ft$

$n$ represents the number of times the ball bounces:

$n = 6$

Plugging this back into our general term of the geometric series:

$a_{n}=k(\frac{3}{4}) ^{n-1}$

$a_{n}=235(\frac{3}{4}) ^{6-1}$

$a_{n}=235(\frac{3}{4}) ^{5}$

$a_{n}=55.8\ ft$

$a_{n}$ represents the highest height of the ball after 6 bounces.

Third part of question:

If the ball dropped from a height of 235ft, find the total distance traveled by the ball when it strikes the ground for the 12th time. 

This would be easier to solve if we have a general term for the <em>sum </em>of a geometric series, which is:

$S_{n}=\frac{a_{1}(1-r^{n})}{1-r}$

We already know these variables:

$a_{1}= k = 235\ ft$

$r=\frac{3}{4}$

$n = 12$

Therefore:

$S_{n}=\frac{(235)(1-\frac{3}{4} ^{12})}{1-\frac{3}{4} }$

$S_{n}=\frac{(235)(1-\frac{3}{4} ^{12})}{\frac{1}{4} }$

$S_{n}=(4)(235)(1-\frac{3}{4} ^{12})$

$S_{n}=910.22\ ft$

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3 years ago

Given the following two solids. Complete the following prompts using complete sentences. Write a hypothesis that compares the vo

Bess [88]

Now, there are many types of solids. Hypothesis can be stated as there is a significant discrepancy between solid one from the other sold. Moreover, if the results seems to support the hypothesis then it is somehow reliable and accurate.Thank you for your question. Please don't hesitate to ask in Brainly your queries.

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3 years ago

Read 2 more answers

What is the greatest common factors of 12 and 27

aalyn [17]

12 is divisible by 1,2,3,4,6,12 and 27 is by 1,3,9,27 so the GCF is 3

3 0

4 years ago