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Sindrei [870]
3 years ago
7

15x2 + 22x + 8 = Factor by grouping

Mathematics
1 answer:
Greeley [361]3 years ago
6 0

Answer:

(5x + 4)(3x+2)

Step-by-step explanation:

15x² + 22x + 8

First, you find two, when added equals 22 and when multiplied together equals 15*8

You then replace 22x with the two numbers

15x² + 10x + 12x + 8

You then group the above expression in 2s

(15x²+10x) + (12x + 8)

Find common factors in each group

5x(3x + 2) + 4(3x + 2)

(5x + 4)(3x+2)

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∠A and \angle B∠B are supplementary angles. If m\angle A=(7x+10)^{\circ}∠A=(7x+10) ∘ and m\angle B=(7x-26)^{\circ}∠B=(7x−26) ∘ ,
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Answer:

108 degrees

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Since angles A and B are supplementary, they both add up to 180. Angle A = 7x+10, and angle B = 7x-26. You can set up the equation A + B = 180, and then plug in angles A and B, which gives you 7x+10 + 7x-26 = 180. Then you just need to isolate x:

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Now that you know x, you can plug it into the expression for angle A (7x+10):

A = 7(14) + 10 = 98+10 = 108

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