The inverse of the function f(x) = 1/2x + 10 is shown.

2 answers:

4 0

Take the f(x) and replace with y to get

y = .5x + 10.

Then flip the y and x to find the inverse.

x = .5y + 10

Now solve for the new y..

x - 10 = .5y

2x - 20 = y.

The missing value is 20.

Firlakuza [10]3 years ago

3 0

Answer: D on edge

Step-by-step explanation:

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an eight foot ladder leans against a building. if the ladder makes an angle of 60° with the ground, how far up the wall does the

damaskus [11]

Answer:

The ladder reaches (4)(√3) ft up the wall (6.93 ft)

Step-by-step explanation:

Think of a triangle with a 60 degree angle in the lower left corner. The lower right corner is a right triangle, and 8 ft is the length of the hypotenuse. The other angle is 30 degrees.

We know the angle 60 degrees, plus the length of the hypotenuse, but need the length of the vertical side opposite the 60 degree angle. Use the sine function here because it involves these knowns:

opposite side

sin 60 degrees = ------------------------ = x/(8 ft) = (√3)/2

Cross-multiplying, we get:

2x = (8 ft)(√3), or through reduction, x = (4)(√3)

The ladder reaches (4)(√3) ft up the wall (6.93 ft)

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2 years ago

You have a rope they is 129.25 inches long.You cut off 6 pieces from the rope.Each piece is 18.5 inches long .How long is the ro

Anna007 [38]

Answer:

18.25 inches

Step-by-step explanation:

6 times 18.5 = 111

129.25 - 111 = 18.25

5 0

2 years ago

The measure of ∠CBD is 45% of the measure of ∠ABC. Find the value of x.

Flura [38]

<h2>Explanation:</h2><h2></h2>

Hello! Remember you have to write complete questions in order to get good and exact answers. Here we have no expressions for ∠CBD and ∠ABC, so I'll assume:

$\angle CBD=15x-24 \\ \\ \angle ABC=20x+40$

We know that the measure of ∠CBD is 45% of the measure of ∠ABC, then:

$\angle CBD = 45\%(\angle ABC) \\ \\ \\ Or: \\ \\ \angle CBD = 0.45(\angle ABC) \\ \\ \\ Substituting \ expressions: \\ \\ 15x-24=0.45(20x+40) \\ \\ \\ Solving \ for \ x: \\ \\ 15x-24=9x+18 \\ \\ 15x-9x=24+18 \\ \\ 6x=42 \\ \\ x=\frac{42}{6} \\ \\ \boxed{x=7}$