Answer:
The inverse is ±sqrt((x+4)/9)
Step-by-step explanation:
y = 9x^2 – 4
We want to find the inverse
Exchange x and y
x = 9y^2 -4
Solve for y
Add 4 to each side
x+4 = 9y^2 -4+4
x+4 = 9y^2
Divide each side by 9
(x+4)/9 = 9/9y^2
(x+4)/9 = y^2
Take the square root of each side
±sqrt((x+4)/9) = sqrt(y^2)
±sqrt((x+4)/9) = y
The inverse is ±sqrt((x+4)/9)
<span>Length of the sides of the cube = Root of order three of 97 = 97^x =97^(1/3)
x=1/3 </span>
Step-by-step explanation:
15. If A and B are complementary angles, then sin A = cos B and cos A = sin B.
So if sin A = m, then cos B = m.
16. If sin A = cos B, or cos A = sin B, and A and B are acute, then A and B are complementary.
a. cos 60° = sin θ
60° + θ = 90°
θ = 30°
b. sin 71° = cos θ
71° + θ = 90°
θ = 19°
c. sin θ = cos (θ + 20°)
θ + θ + 20° = 90°
2θ = 70°
θ = 35°
d. sin (θ − 60°) = cos θ
θ + θ − 60° = 90°
2θ = 150°
θ = 75°
