Answer:
Step-by-step explanation:
We are given the function:
Let's find the inverse of g.
Call y=g(x):
We need to solve for x. Multiply both sides by x-2 to eliminate denominators:
Operate:
Collect the x's to the left side and the rest to the right side of the equation:
Factor the left side and operate on the right side:
Solve for x:
Interchange variables:
Call y as the inverse function:
Answer:
Step-by-step explanation:
you have a right triangle,
a^2+b^2=c^2
10^2=4^2+b^2
100=16+b^2
100-16=b^2
84=b^2
b=9.16
Answer:
6.25 feet.
Step-by-step explanation:
Please find the attachment.
Let L be the length of the ramp in feet.
We have been given that steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. The ramp make a 30° angle with the ground.
We can see from our attachment that ramp and truck bed forms a right triangle with ground. The truck bed is opposite side and length of ramp is hypotenuse of our given angle.
Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use Sine to solve for L.
Upon substituting our given values in above formula we will get,
Therefore, the length of the ramp is 75 inches.
Let us convert the length of ramp in feet.
1 feet = 12 inches.
Therefore, the length of the ramp is 6.25 feet.
Answer:
SSS
Step-by-step explanation:
XW = YZ by reflective the line
XY = WZ by the two lines
and XZ = XZ by reflective property of congruence