Answer:
[2,6]
Step-by-step explanation:
3x+5y=36
5x-4=y
3x+5(5x-4)=36
3x+25x-20=36
28x-20=36
28x=56
x=2
5x-4=y
5*2-4=y
10-4=y
6=y
The vertex-form equation is
y = a(x+1)² -16
Putting in the y-intercept values, we have
-15 = a(0+1)² -16
1 = a . . . . . . . . . . . add 16
Then the x-intercepts can be found where y=0.
0 = (x+1)² -16
16 = (x+1)²
±4 = x+1
x = -1 ± 4 =
{-5, 3}
Answer:
129 and 51 degrees.
Step-by-step explanation:
Drawing a diagonal gives us a triangle with the opposite side = 12.4 and the adjacent side = 26.
tan x = 12.4 / 26
x = 25.497 degrees.
The other angle will be 90 - 25.497
= 64.503 degrees.
One of the diagonal angles is 180 - (2*25.497)
= 129 degrees
and the other is 180 - 129 = 51 degrees.
Answer:
Step-by-step explanation:
Use the Quadratic Formula.
-x² - 4x + 16 = 0
x = [4±√(4²-4(-1)(16)]/[2(-1)] = [4±√80]/(-2) = [4±4√5]/(-2) = -2±2√5