Hello from MrBillDoesMath!
Answer:
x = 0, +\-3
Discussion:
x^3 = 9x => subtract 9x from both sides
x^3 - 9x = 0 => factor x from both terms
x(x^2-9) = 0 => x = 0 or x^2 - 9 = 0
x = 0, +\-3
Thank you,
MrB
Answer:
Sound energy is produced when a force causes an object or substance to vibrate. The energy is then transferred through the substance in waves, called sound waves.
Step-by-step explanation:
Answer:
f(x) = x/4
Step-by-step explanation:
To find the inverse of a function replace the positions of x and y. Then isolate y.
y = 4x
x = 4y
x/4 = y
f(x) = x/4
Question 1:Look at the first attached image.
We want to solve for the height of the smaller building. Let's start by making a right triangle with angle of 15 degrees and adjacent side of 51 m.
Let's solve for the other leg. Multiply the tangent with 51 m to get the length of the other leg.


Now, subtract that from 207 to get the height of the smaller building.

That's your answer.
Question 2:
The angle of elevation is congruent to the angle of depression because they are alternate interior angles.
Thus, you can choose the 1st and 4th choices as your answer.
Question 3:Look at the second attached image.
Angle E is congruent to angle D for the same reasons mentioned in the last question.
We can create an equation.

Distributive property

Subtract both sides by 1 and 2x

Since E and D are congruent, just plug this value into one of the equations for E or D. You get 46.
The third choice is your answer. Hope this helps! :)