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kari74 [83]
3 years ago
5

Answer with the explanation step by step

Mathematics
1 answer:
andrey2020 [161]3 years ago
4 0

Answer:

The answer is A. \frac{3(x-21)}{(x+7)(x-7)}.

Step-by-step explanation:

To find the difference of this problem, start by simplifying the denominator, which will look like \frac{3}{x+7}-\frac{42}{(x+7)(x-7)}. Next, multiply \frac{3}{x+7} by \frac{x-7}{x-7}  to create a fraction with a common denominator in order to subtract from \frac{42}{(x+7)(x-7)}. The problem will now look like \frac{3}{x+7}*\frac{x-7}{x-7}-\frac{42}{(x+7)(x-7)}.  

Then, simplify the terms in the problem by first multiplying \frac{3}{x+7} and \frac{x-7}{x-7}, which will look like \frac{3(x-7)}{(x+7)(x-7)}-\frac{42}{(x+7)(x-7)}. The next step is to combine the numerators over the common denominator, which will look like \frac{3(x-7)-42}{(x+7)(x-7)}.

Next, simplify the numerator, and to simplify the numerator start by factoring 3 out of 3(x-7)-42, which will look like \frac{3(x-7-14)}{(x+7)(x-7)}. Then, subtract 14 from -7, which will look like \frac{3(x-21)}{(x+7)(x-7)}. The final answer will be \frac{3(x-21)}{(x+7)(x-7)}.    

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2 years ago
Can someone please help me it’s urgent
Evgen [1.6K]

Answer:

8.5 in

Step-by-step explanation:

You are solving for the hypotenuse right? So you would use this formula:

c = square root a^2+b^2

the c is the hypotenuse (long side of a right triangle) and a will be 4 and b will be 7.5. substitute the numbers in, solve, and you get 8.5 inches!

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8 0
3 years ago
Help me please.<br><br> ------------------------------------------------
ladessa [460]

Answer:

Alicia

Step-by-step explanation:

First, convert the mixed fractions into improper fractions

<u>Alicia</u>

Distance: 5 1/2 = 11/2 = 5.5 miles

Time: 1 2/5 = 7/5 = 1.4 hours

<u>Carlos</u>

Distance: 8 1/8 = 65/8 = 8.125 miles

Time: 2 1/2 = 5/2 = 2.5 hours

<u>Henry</u>

Distance: 3 2/3 = 11/3 = 3.6 reoccuring miles

Time: 1 1/10 = 11/10 = 1.1 hours

<u>Zoe</u>

Distance: 4 2/3 = 14/3 = 4.6 reoccuring miles

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After that, divide the distance by the time

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Zoe = 4.6 / 1.3 = 3.54 ( 3 s.f )

Looking at these answers, we determine which rate is the greatest

Alicia = 3.93

Carlos = 3.25

Henry = 3.3 re

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5 0
3 years ago
What is the anwser -13-4x=x+7
Luden [163]

-13-4x=x+7

+13         +13

-4x=x+20

-x    -x

-5x=20

/-5   /-5

x=-4

---

hope it helps

7 0
2 years ago
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