Supplementary angles are two angles that add up to 180°.
∠5 and ∠8
∠5 and ∠6
Let
the amount of money invested at 9% and
the amount of money invested at 5%. The amount invested at 5% (
) is 1700$ less than the amount invested at 9% (
) it means:
(equation 1)
The investments produced 223$ which means:
. (equation 2)
We use the first equation to eliminate
from equation 2:
He invested 2200$ at 9% and 500$ at 5%.
Answer:
We know that:
(a - b)^2 = a^2 - 2ab + b^2
and:
(a + b + c)^2 = a^2 + b^2 + c^2 + 2ac + 2bc + 2ab
Then:
(a - b)^4 = (a - b)^2*(a- b)^2 = (a^2 - 2ab + b^2)^2
Now we can just solve that last expression using the second expansion.
So, if we apply that to our case, we will have:
(1 - 4x)^2 = (1^2 - 2*1*4x + (4x)^2)^2
= (1 - 8x + 16x^2)^2
= 1^2 + (-8x)^2 + (16x^2)^2 + 2*1*(-8x) + 2*1*(16x^2) + 2*(-8x)*(16x^2)
= 1 + 64x^2 + 256x^4 - 16x + 32x^2 - 256x^3
= 256x^4 - 256x^3 + 96x^2 - 16x + 1
Answer: no correlation .C
Step-by-step explanation: there is no correlation if the change on X has no impact on Y
hope this helped