Answer:
Step-by-step explanation:
Let the solution to
2x^2 + x -1 =0
x^2+ (1/2)x -(1/2)
are a and b
Hence a + b = -(1/2) ( minus the coefficient of x )
ab = -1/2 (the constant)
A. We want to have an equation where the roots are a +5 and b+5.
Therefore the sum of the roots is (a+5) + (b+5) = a+ b +10 =(-1/2) + 10 =19/2.
The product is (a+5)(b+5) =ab + 5(a+b) + 25 = (-1/2) + 5(-1/2) + 25 = 22.
So the equation is
x^2-(19/2)x + 22 =0
2x^2-19x + 44 =0
B. We want the roots to be 3a and 3b.
Hence (3a) + (3b) = 3(a+b) = 3(-1/2) =-3/2 and
(3a)(3b) = 9(ab) =9(-1/2)=-9/2.
So the equation is
x^2 +(3/2) x -9/2 = 0
2x^2 + 3x -9 =0.
It should be 117.5 because in a kite, the angles all add up to 360, and since the remaining unknown angles are the same, you just subtract 38+87 from 360 and divide by 2
Which question do you need help with
Answer:
1/6
Step-by-step explanation:
LCD = 96
2(32) - 16(3)/ 3(32) = 64 - 48/96
= 16/96
Simplify:
16/ 16 = 1
96/16 = 6
2/3 - 16/32 = 1/6
Sorry if my work might seem confusing. If it is, then try searching "fraction calculator." It really helps :)