Answer: Step-by-step explanation:
In order to answer this question you will need to find 2 distances and then add them to each other.
Begin at -29. How far will you have to move to the right 29 in order to get to 0?
Now how far will you have to more to get from 0 to 100?
Draw an open number line to help you.
_____________________________________________________
-29 0 100
Your first distance is 29. Your second distance is 100. The total distance is 129.
Answer:
d
Step-by-step explanation:
Check the picture below.
since chords NQ and MP cross the center of the circle at R, that means that those two chords are diametrical chords and the angles made by both are vertical angles and thus twin angles, namely both are 18° as you see in the picture, so the angle NMP in magenta is really 162° + 18° + 18° = 198°, and we know the radius NR is 8.
![\textit{arc's length}\\\\ s=\cfrac{r\pi \theta }{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =198 \end{cases}\implies s=\cfrac{(8)\pi (198)}{180}\implies s\approx 27.6](https://tex.z-dn.net/?f=%5Ctextit%7Barc%27s%20length%7D%5C%5C%5C%5C%20s%3D%5Ccfrac%7Br%5Cpi%20%5Ctheta%20%7D%7B180%7D~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%20%5Ctheta%20%3D%5Cstackrel%7Bdegrees%7D%7Bangle%7D%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D8%5C%5C%20%5Ctheta%20%3D198%20%5Cend%7Bcases%7D%5Cimplies%20s%3D%5Ccfrac%7B%288%29%5Cpi%20%28198%29%7D%7B180%7D%5Cimplies%20s%5Capprox%2027.6)
Answer:
Option D. minimum value at −38
Step-by-step explanation:
we have

Let

Complete the square




------> equation of a vertical parabola in vertex form
The vertex is the point 
The parabola open upward-----> the vertex is a minimum
therefore
minimum value at −38
Area= 12m * 12m = 144m^2 *7.00$ = 1008$.
Final answer: 1008$