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nikklg [1K]
3 years ago
11

Find the endpoint of the line segment with the given endpoint and midpoint.

Mathematics
1 answer:
Aleks04 [339]3 years ago
5 0

Answer:

(6,9)

Step-by-step explanation:

If you're looking for the <em>other</em> endpoint, y goes up by 7 between these two points, so to get from (6,2) 2+7 is 9.

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0.12 =3/25

The work is included if needed
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Max lost 128 pounds in 16 weeks on his new weight-loss plan. What was his average change in weight per week?
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Venita is factoring the expression 32ab-8b. She determines the GCF and writes the factored expression as 8b(4a-0). Which best de
Nimfa-mama [501]
Let's go through the steps of factoring that Venita should take.

1.) Find the greatest common factor (GCF). We only have two terms, so that makes it pretty easy.
32 = 1, 2, 4, 8, 16, 32
8 = 1, 2, 4, 8
The greatest common factor of 32 and 8 is 8. We can also factor out a <em>b</em> since that term appears in each part of the original expression. The GCF and variable should go on the outside of the parentheses.
8b(       )

2.) Now let's figure out what should go in the middle of the parentheses. To do this, use the original expression and divide each term. This is written in the parentheses. 

32ab ÷ 8b = 4a
8b ÷ 8b = 1

This would then result in the factored expression 8b(4a - 1). You can always check this by using the distributive property. Distribute 8b out to both expressions:
8b x 4a = 32ab
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32ab - 8b is the expression she started with, so your factored expression works!

Now that we went through the steps to solve the factored expression, let's check her answer. The only difference between Venita's and ours is that she has 0 as the second term while we have a 1. It seems that she had subtracted the GCF from the second term instead of dividing.
6 0
3 years ago
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andrew-mc [135]

Answer:

3

Step-by-step explanation:

Remember that when we are dividing two exponents with the same base (here, it's 13), we can subtract the values of the powers:

\frac{a^m}{a^n} =a^{m-n}

So, here, we have \frac{13^{10}}{13^7} , so we subtract 7 from 10:

\frac{13^{10}}{13^7}=13^{10-7}=13^3

Thus, 3 should go in the box.

6 0
3 years ago
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