By "y = −9x2 − 2x" I assume you meant <span>y = −9x^2 − 2x (the "^" symbol represents exponentiation).
Let's find the first derivative of y with respect to x: dy/dx = -18x - 2. This is equivalent to the slope of the tangent line to the (parabolic) curve. Now let this derivative (slope) = 0 and solve for the critical value: -18x - 2 = 0, or
-18x = 2. Solving for x, x = -2/18, or x = -1/9.
When x = -1/9, y = -9(-1/9)^2 - 2(-1/9). This simplifies to y = -9/9 + 2/9, or
y = -7/9.
The only point at which the tangent to the curve is horiz. is (-1/9,-7/9).</span>
Move all terms that dont contain y to the right side and solve and you get:
y=4x/3-7
Hope this helps
Determine the base of right triangle by using pythagoras theorem.
![\begin{gathered} b=\sqrt[]{(15.7)^2-(8.5)^2} \\ =\sqrt[]{174.24} \\ =13.2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20b%3D%5Csqrt%5B%5D%7B%2815.7%29%5E2-%288.5%29%5E2%7D%20%5C%5C%20%3D%5Csqrt%5B%5D%7B174.24%7D%20%5C%5C%20%3D13.2%20%5Cend%7Bgathered%7D)
Determine the area of base of figure.

Determine the volume of the figure.

So volume of the figure is 347.82 yards square.
Answer:

Step-by-step explanation:
The angle formed by
and the angle marked as
are co-interior angles and therefore must be supplementary (add up to 180 degrees).
Therefore, we have:

Answer: 
Step-by-step explanation:
You need to analize all the information given in the exercise.
You know that the actual height of the T-rex on the projector lens is the following:

The height of the projected T-rex is:

Make the conversion from meters to centimeters:

Therefore, the scale factor will be:

Finally, you must substitute values into the equation and then you must evaluate in order to find the scale factor of the projection. You get that this is:
