![\bf \stackrel{f(x)}{0}=-(x+9)(x-21)\implies \begin{cases} 0=-x-9\implies &x=-9\\ 0=x-21\implies &21=x \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \boxed{-9}\rule[0.35em]{8em}{0.25pt}0\rule[0.35em]{5em}{0.25pt}\stackrel{\downarrow }{6}\rule[0.35em]{10em}{0.25pt}\boxed{21}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bf%28x%29%7D%7B0%7D%3D-%28x%2B9%29%28x-21%29%5Cimplies%20%5Cbegin%7Bcases%7D%200%3D-x-9%5Cimplies%20%26x%3D-9%5C%5C%200%3Dx-21%5Cimplies%20%2621%3Dx%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cboxed%7B-9%7D%5Crule%5B0.35em%5D%7B8em%7D%7B0.25pt%7D0%5Crule%5B0.35em%5D%7B5em%7D%7B0.25pt%7D%5Cstackrel%7B%5Cdownarrow%20%7D%7B6%7D%5Crule%5B0.35em%5D%7B10em%7D%7B0.25pt%7D%5Cboxed%7B21%7D)
now, this parabolic graph, has two zeros/solutions/x-intercepts, at -9 and 21.
for a quadratic equation, the vertex will be right in between the x-intercepts, namely in this case between -9 and 21, right in the middle, namely at 6, and is where the axis of symmetry is at, x = 6.
Answer:
Because the triangle is a 45-45-90 triangle, the n and m should be the same lengths. For these types of triangles, the hypotenuse is 
and the side lengths are x. Because we are given the length of the hypotenuse, we need to find the x-value. The equation should be 6=. Simplify to get x=
. So, the length of n and m should both be .
<u>Answer:</u>
He will order 72 pairs of high tops
<u>Explanation:</u>
Given the store owner sells two pairs of running shoes for each pair of high tops
For every pair of high tops, he sells 2 pairs of running shoes
1 high top = 2 running shoes
He has planned to order 144 pairs of shoes
Therefore, 144 pair of running shoes = 144/2 = 72 pairs of high tops
Therefore, he will order 72 pairs of high tops
Answer:
1.16777216
2.−16807 x (−13841287201)
3.11390625
4.100000000000
5.13060694016
6.274877906944 x^2
7.9 x
8.x⋅8x+6
hope this helps :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
