Supplementary angles add up to 180°
-> The measure of an angle that is supplementary to a 71° angle is 180° - 71° = 129°
Answer:
8y^3+6y^2-29y+15
Step-by-step explanation:
the correct expression is
(4y − 3)(2y^2 + 3y − 5)
Given data
We have the expression
(4y − 3)(2y^2 + 3y − 5)
let us open bracket
8y^3+12y^2-20y-6y^2-9y+15
Collect like terms
8y^3+12y^2-6y^2-20y-9y+15
8y^3+6y^2-29y+15
Is this a right triangle or not? If it's a right triangle, you could use the Pythagorean Theorem to find the length of the 3rd side, which would be the hypotenuse. Thus, 14^2 + 4^2 = c^2, where c is the length of the hypot.
Then 196 + 16 = 212, and this is c^2. Then c, the length of the hypotenuse, is sqrt 212, or approx. 14.6 inches.
This does not agree with any of the four possible answers. Thus, you must look at each of these possible answers and eliminate any that could not be correct.
for example: if you take 10 inches and add 4 inches, you get 14 inches. The result would not be a triangle, but rather a straight line.
Check out the others similarly.
Answer:
x=-3
Step-by-step explanation:
If x=-3, then
x³+x²-2x+12=-27+9+6+12=-27+27=0
If this is true, then x+3 is a factor. So:
x³+x²-2x+12/x+3=x²-2x+4
So the factors of x³+x²-2x+12 are:
(x+3)(x²-2x+4)
((x²-2x+4) has no real roots)........
