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Alexxandr [17]
4 years ago
6

Factor 2a^5b + 2a^4b^2 + 2a^3b^3.

Mathematics
1 answer:
geniusboy [140]4 years ago
7 0
2a^5b + 2a^4b^2 + 2a^3b^3=2a^3b\cdot a^2+2a^3b\cdot ab+2a^3b\cdot b^2\\\\=\boxed{2a^3b(a^2+ab+b^2)}
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In the following problem, which step uses the additive identity to get to the next step?
bearhunter [10]
The third step, 0+73
8 0
3 years ago
Find the angle measure. It is not asking for X
MrMuchimi
<h3>Answer:   131 degrees</h3>

Work Shown:

(angle JIW) + (angle WIH) = angle JIH

(2x+8) + (101) = 11x + 10

2x+109 = 11x+10

2x-11x = 10-109

-9x = -99

x = -99/(-9)

x = 11

So,

  • angle JIW = 2x+8 = 2*11+8 = 22+8 = 30 degrees
  • angle WIH = 101 degrees
  • angle JIH = 11x+10 = 11*11+10 = 121+10 = 131 degrees

The smaller angles add to 30+101 = 131 to confirm we have the correct answer.

For more information, check out the angle addition postulate.

5 0
2 years ago
What is 90% of 45? I can do it but I’m too lazy lol
hjlf

Answer:

40.5

Step-by-step explanation:

90% times 45

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4 0
3 years ago
A tall tree has a shadow that measures 40 feet. Next to the tree is a man whose shadow measures 4
o-na [289]
<h3>The height of the tree is 55 feet</h3>

<em><u>Solution:</u></em>

Let,

Height of tree = x

Shadow of tree = 40 feet

Height of man = 5.5 feet

shadow of man = 4 feet

Set up a proportion comparing the height of each object to the length of the shadow.

\frac{\text{ Height of tree}}{\text{ Shadow of tree }} = \frac{\text{ Height of man}}{\text{ shadow of man }}

Therefore,

\frac{x}{40} = \frac{5.5}{4}\\\\x = 5.5 \times 10\\\\x = 55

Thus height of the tree is 55 feet

3 0
3 years ago
The figure below shows half circles at the ends of a rectangle with the demensions shown. Which is closest to the area of the fi
loris [4]
The closest answer is 95 square inches. Here is why.  You can find the area of the rectangle by multiplying the length by the width.  This would be 15 x 5 = 75 square inches.  The area of the whole circle that is created when you put both halves together would be found by multiplying 3.14 x 2.5 in (the radius) x 2.5 in.  This answer is about 20 square inches.  The combined area is approximately 95 square inches.
7 0
4 years ago
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