![\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:
4⁄9
Step-by-step explanation:
As discussed in one of my videos on my channel [USERNAME: MATHEMATICS WIZARD], whenever you are dividing mixed numbers or fractions, you multiply the first term by the divisor's <em>multiplicative </em><em>inverse</em><em> </em>[<em>reciprocal</em>]. So you will end up with [⅔]², which is 4⁄9. You understand?
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Answer:
The answer to this is true because they are open at the same angle
Answer:
Step-by-step explanation:
circumference of cylinder = πd = 5π in
lateral area of cylinder = 5π×9 = 45π in²
Each colored face has a matching face on the other side of the figure.
green areas = 2(17×15) = 510 in²
blue areas = 2(12×17) = 408 in²
gray areas = 2(5×6) = 60 in²
yellow areas = 2(5×12) = 120 in²
red areas = 2(12×15) = 360 in²
total surface area = 45π + 510 + 408 + 60 + 120 + 360 ≅ 1,599.37 in²
1 ; 0.29 ; 23% ; 1 ; 0.027 ; 4.5
23% is 0.23
smallest to largest:
0.027 ; 23% ; 0.29 ; 1 ; 1 ; 4.5
If in percentage form, multiply each in 100%
0.027 x 100% = 2.7%
23% already in % form, as is = 23%
0.29 x 100% = 29%
1 x 100% = 100%
4.5 x 100% = 450%