Answer:
(-1, 1), (-2, 2), and (-1, 3)
Step-by-step explanation:
The formula for rotation of a point (x,y) by an angle θ about the origin is
x' = xcosθ - ysinθ
y' = ycosθ + xsinθ
If θ = 90°, sinθ = 1 and cosθ = 0, and the formula becomes
x' = -y
y' = x
P: (1, 1) ⟶ (-1, 1)
Q:(2, 2) ⟶ (-2, 2)
R: (3, 1) ⟶ (-1, 3)
The vertices of P'Q'R' are (-1, 1), (-2, 2), and (-1, 3).
The Figure below shows the triangle before and after the rotation.
Answer:
(2,-3)
Step-by-step explanation:
Answer:
The inverse is ((5-x)/4) ^ 1/3
Step-by-step explanation:
y = 5-4x^3
Exchange x and y
x = 5-4y^3
Subtract 5 from each side
x-5 =5-5-4y^3
x-5 = -4y^3
Divide each side by -4
(x-5)/ -4 = y^3
Take the cube root
((x-5)/ -4) ^ 1/3 = y^ 3 ^1/3
((5-x)/4) ^ 1/3 = y
The inverse is ((5-x)/4) ^ 1/3
Answer:
-47
Step-by-step explanation:
that's the correct answer