The answer is B: <span> a^12/b^6
Proof:
Simplify the following:
(a^4/b^2)^3
Multiply each exponent in a^4/b^2 by 3:
(a^(3×4))/((b^2)^3)
3×4 = 12:
a^12/(b^2)^3
Multiply exponents. (b^2)^3 = b^(2×3):
a^12/b^(2×3)
2×3 = 6:
Answer: a^12/b^6</span>
Answer:
since she is 3/4 the way home she has to go 20 miles cause 15/20 is equal to 3/4
Step-by-step explanation:
Just add the two equations together.
2b = 18
b = 18/2
b = 9
9 = k + 10
9 - 10 = k
k = - 1
Answer:
Step-by-step explanation:
<u>According to the triangle inequality theorem, any side length is less than the sum of the other two:</u>
- x < 2x + 1 + x + 4 ⇒ x < 3x + 5 ⇒ 2x > - 5 ⇒ x > - 2.5
- 2x + 1 < x + x + 4 ⇒ 2x + 1 < 2x + 4 ⇒ 1 < 4, any value of x
- x + 4 < x + 2x + 1 ⇒ x + 4 < 3x + 1 ⇒ 2x > 3 ⇒ x > 3/2
<u>Common solution of the three inequalities above is:</u>
Correct choice is C
Answer:
C-42
B-156
A-66
Step-by-step explanation:
Now I'm not a 100% sure on this but I'm pretty confident.
The easiest on to find was C because on the opposite side was 24 so the side we are working with must equal 24. In order to find the answer I did 24 + 18 and got 42. That means C = 42.
The next one I found was B. A straight line is 180 degrees so I subtracted 24 from 180 and got 156.
Finally I found A. This was considerably the quickest on to find for me because of all the other measurements I found and the 90 degrees beside the A. I subtracted 90 from the already found 156. I got 156 because if you take out the 90 degree line it would be a mirror image of B. Once I subtracted 90 from 156 I got 66 as my answer.
