Answer:
1/3
Step-by-step explanation:
-6+(-1/3)= -19/3
-19/3 + 20/3 = 1/3
Answer: Approximately -8.54
Explanation: use Pythagorean’s theorem.
8 squared plus 3 squared equals the resultant squared. 8 squared plus 3 squared is 73, then square root that to get 8.54
Answer: y=x³+2 or f⁻¹(x)=x³+2
Step-by-step explanation:
To find the inverse of the radical function, we replace y with x and x with y. Then, you solve for y.
[replace y with x and x with y]
[cube both sides to cancel out the cubed root]
[add both sides by 2]
Now that we have switched the variables and solved for y, we know that the inverse function is y=x³+2 or f⁻¹(x)=x³+2.
Answer:
790
Step-by-step explanation:
The volume equals: Height * Width * Length
Therefore, the volume = 22.9*7.5*4.6 = 790 cubic meters.
--------------------------------------------------------------------------------------------------------
Find Slope:
--------------------------------------------------------------------------------------------------------
y = 1/4x - 7
Slope = 1/4
Perpendicular slope = -4 (Negative reciprocal)
--------------------------------------------------------------------------------------------------------
Substitute slope into the general equation y = mx + b:
--------------------------------------------------------------------------------------------------------
y = -4x + b
--------------------------------------------------------------------------------------------------------
Find y-intercept:
--------------------------------------------------------------------------------------------------------
at point (-2, -6)
-6 = -4(-2) + b
-6 = 8 + b
b = -6 - 8
b = -14
--------------------------------------------------------------------------------------------------------
Substitute b = -14 into the equation:
--------------------------------------------------------------------------------------------------------
y = -4x + b
y = -4x - 14
--------------------------------------------------------------------------------------------------------
Equation:
--------------------------------------------------------------------------------------------------------
y = -4x - 14
y + 6 = -4x - 8 \\add 6 to both sides
y + 6 = -4(x + 2) \\Take out common factor -4
--------------------------------------------------------------------------------------------------------
Answer: y + 6 = -4(x + 2) (Answer D)
--------------------------------------------------------------------------------------------------------