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Orlov [11]
3 years ago
10

I need help on number 11

Mathematics
1 answer:
DedPeter [7]3 years ago
8 0
<h3>Answer: Choice C</h3>

Choice A is close but we don't use the hypotenuse-leg theorem, as we don't know if the two hypotenuse lengths are the same or not.

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<img src="https://tex.z-dn.net/?f=%5Cfrac%7Ba%5E%7B2%7D-1%7D%7B2-5a%7D%20times%20%5Cfrac%7B15a-6%7D%7Ba%5E%7B2%7D%2B5a-6%7D" id=
stepan [7]
\bf \cfrac{a^2-1}{2-5a}\times \cfrac{15-6}{a^2+5a-6}\\\\&#10;-----------------------------\\\\&#10;recall\quad \textit{difference of squares}&#10;\\ \quad \\&#10;(a-b)(a+b) = a^2-b^2\qquad \qquad &#10;a^2-b^2 = (a-b)(a+b)\\\\&#10;thus\quad a^2-1\iff a^2-1^2\implies (a-1)(a+1)&#10;\\\\\\&#10;now\quad a^2+5a-6\implies (a+6)(a-1)\\\\&#10;-----------------------------\\\\&#10;thus&#10;\\\\\\&#10;\cfrac{a^2-1}{2-5a}\times \cfrac{15-6}{a^2+5a-6}\implies \cfrac{(a-1)(a+1)}{2-5a}\times \cfrac{3(5a-2)}{(a+6)(a-1)}\\\\&#10;-----------------------------\\\\&#10;

\bf now\quad 3(5a-2) \iff -3(2-5a)\\\\&#10;-----------------------------\\\\&#10;thus&#10;\\\\\\&#10;\cfrac{\underline{(a-1)}(a+1)}{\underline{2-5a}}\times \cfrac{-3\underline{(2-5a)}}{(a+6)\underline{(a-1)}}\implies \cfrac{-3(a+1)}{a+6}
6 0
3 years ago
A neighborhood pool is 24 feet by 18 feet. What is the area of the pool?
valentina_108 [34]
Area is length x width

24 x 18 = 432

The area is 432 feet 

hope this helps
6 0
3 years ago
Read 2 more answers
What is the answer of 7% to the number of 78 of the percent
Alja [10]

Answer:

7% of 78 is 5.46

Step-by-step explanation:

Given number = 78

We have to find 7% of 78 So:

= 7/100 * (78)

= 0.07 (78)

= 5.46

So 7% of 78 is 5.46

i hope it will help you!

6 0
3 years ago
Consider parallelogram ABCD. Choose all of the statements which must be true
Crazy boy [7]

The answers are 1, 2, and 4. Look at the parallelogram's angles to be sure.

5 0
3 years ago
Read 2 more answers
Please help. it’s 7th grade math. (mathematics)))
never [62]

Answer:

4. answer is -48xy

5. answer is 1

Step-by-step explanation:

4. -3/4*-8y*4/3*6x*-1

=6y*4/3*6x*-1

=8x*6x*-1

-48xy

5.

-13.6/x=-13.6/1

If the numerators are the same, the denominators have to too.

5 0
3 years ago
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