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VMariaS [17]
4 years ago
11

If I simplify (3b^3)^4 and in the end get 81b^12 how do I get there?

Mathematics
1 answer:
AnnZ [28]4 years ago
6 0
Everything inside of the parenthesis needs to be to the 4th root. So you can see it as:

3^4 * (b^3)^4

3^4 = 3*3*3*3 = 81

And using rules of exponents, you need to multiply those exponents.

b ^ (3*4) = b^12

Put them together... 81 b^12
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9

Step-by-step explanation:

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3 years ago
Error Analysis A classmate says that the system consisting of x=0, y=0, and z=0 has no solution. Explain the student's error.​
harina [27]
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3 0
3 years ago
B
Alenkinab [10]

Answers:  

hypotenuse = 20 feet

longer leg = 16 feet

======================================================

Explanation:

c = x = length of the hypotenuse

a = x-4 = length of one of the legs

b = 12 = length of the other leg

Use the pythagorean theorem

a^2 + b^2 = c^2

12^2 + (x-4)^2 = (x)^2

144 + x^2 - 8x + 16 = x^2

144 - 8x + 16 = 0 .... the x^2 terms cancel

160-8x = 0

160 = 8x

8x = 160

x = 160/8

x = 20 is the hypotenuse

x-4 = 20-4 = 16 is the longer leg

--------

Check:

12^2+16^2 = 144+256 = 400

20^2 = 400

Since 12^2+16^2 = 20^2 is true, this means we have a right triangle with legs of 12 and 16, while the hypotenuse is 20. The answer is confirmed.

6 0
2 years ago
Why can you not say that two vertical lines have equal​ slope?
Kay [80]

Answer:

Vertical lines will not be considered since their slopes are undefined and cannot be considered equal. If the lines are parallel horizontal lines, the slopes are both zero. Now let's consider all lines that are not vertical and not horizontal.

6 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Chuge%5Cmathfrak%5Cgreen%7Bplease%20%5C%3A%20help...%7D%20%5C%5C%20%20%5C%5C%20%5Chuge%5Cmat
dimaraw [331]

61 is a required answer.

Answer:

\boxed{5²+6²=5*5+6*6=25+36=61}

3 0
3 years ago
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