Answer:
m∠B = 31°
Step-by-step explanation:
First, find the measure of angle ACB by subtracting its supplement from 180 degrees:
180 - 113 = 77
m∠ACB = 77°
Then subtract both m∠A and m∠ACB from 180 degrees, since the interior angles of a triangle always add to 180°:
m∠B = 180° - 72° - 77°
m∠B = 31°
Factor by grouping. Group up the terms into pairs, factor each pair, then factor out the overall GCF.
x^3 + 2x^2 - 16x - 32
(x^3 + 2x^2) + (-16x-32) ... pair up terms
x^2(x + 2) + (-16x - 32) ... factor x^2 from the first group
x^2(x + 2) - 16(x + 2) ... factor -16 from the second group
(x^2 - 16)(x + 2) .... factor out (x+2)
(x - 4)(x + 4)(x + 2) .... Use the difference of squares to factor x^2-16
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The original expression completely factors to (x - 4)(x + 4)(x + 2)
The three factors are x - 4 and x + 4 and x + 2
Answer:
what does it mean? can you translate it
Answer:
9) C. 35 + 0.12x = 44.36
10) B
11) A. 32
Step-by-step explanation:
9)
44.36 is the TOTAL so the equations have to EQUAL it.
PER mile means it's a variable so it's 0.12x:
35 is a constant so there's no variable attached:
35 + 0.12x = 44.36
10)
B because you have to cancel the y values and to do that, you multiply the 1st equation by 3.
11)
0.1x + 0.25(46 - x) = 6.70
0.1x + 11.5 - 0.25x = 6.7
-0.15x = 6.7 - 11.5
-0.15x = -4.8
x = 32
I won’t give a actual answer to the equation, because I want you and anyone else to learn it. but I do want to help!
the sum is the answer to a addition problem. that means you should choose anything that falls under that.
The term is anything that is being separated by + or - so for this, choose anything like that.
The product is the final answer to a multiplication problem.
Factor- any number leading up to a answer in a problem. Example: 3 times 4 is 12. The 3 and the 4 are the factors.
Quotient- the final answer to a division problem.
Coefficient- the number separated from the rest of the problem or the number at the beginning of the problem that stands alone. Because this one is a bit harder to explain, I’ll go ahead and tell you it is 4.
Variable- the unknown number such as y or x.
I hope this helps, and good luck!! :)
