Answer:
31 Degrees
Step-by-step explanation:
63+86= 149
180-149=31
1. 1/4(x+3)=12=X+3-12*4/4=X-45/4. Then, x-45/4=0. So, 1. X=45. 2. x+4/3=12=3x-32/3*3=0*3. 3x-32=0. You add 32 to each sides. 3x=32. x=32/3. Therefore, 1. x=45 and 2. x=32/3
I’m pretty sure the answer is 12 he can buy 12 raffle tickets hope it helps
Answer:
10x . . . . . (Note the sign of the middle term is negative. 10x goes in the box.)
Step-by-step explanation:
The sum of the two roots is ...
... (5 -3i) +(5 +3i) = 10
In a quadratic with leading coefficient 1, the coefficient of the 1st-degree term is the opposite of the sum of the roots. Here, that means the middle term is -10x. The minus sign is given, so the answer is 10x.
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<em>How Do We Know?</em>
When "a" and "b" are roots of a quadratic in x, it has factors (x -a)(x -b). The product of those two factors is ...
... (x -a)(x -b) = x² -(a+b)x +ab
Here, that means the product of the factors (5 -3i)(5 +3i) is ab = 34, which it is. Their sum is (a+b) = 10, so the x-term is -(a+b)x = -10x.
