Answer:
<em>I disagree with both solutions. The value of b that will make the expression correct is -30</em>
Step-by-step explanation:
Given the equation solved my Mai and Tyler expressed as:
2/5 b + 1 = -11
We are to check the veracity of the solutions;
2/5 b + 1 = -11
Subtract 1 from both sides of the expression
2/5 b + 1 -1 = -11-1
2/5 b = -12
Cross multiply
2b = -12 * 5
2b = -60
Divide both sides by 2
2b/2 = -60/2
b = -30
<em>Since the solution b = -25 and -28 does not tally with the gotten solution, I disagree with the both solutions</em>
Answer:
Step-by-step explanation:
f(x) = x²-8x-20
a= 1
a >0 so...
-parabola opens up
-vertex is a minumum
Minimum because parabola opens up !
1 and 24
2 and 12
3 and 8
4 and 6
we know that the square, 4 equal sides, has a perimeter of 24, meaning each sides is simply 24 ÷ 4 = 6, since the area of a square is simply the side², that means the area of the square is 6² or just 36. We also know that the the trapezium has double the area of the square, namely 2*36 = 72, Check the picture below.
![\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=8\\ a=AB\\ b=3AB\\ A=72 \end{cases} \implies \begin{array}{llll} 72=\cfrac{8(AB+3AB)}{2}\\\\ 72=4(4AB)\implies 72=16AB\\\\ \cfrac{72}{16}=AB\implies \cfrac{9}{2}=AB \end{array}](https://tex.z-dn.net/?f=%5Ctextit%7Barea%20of%20a%20trapezoid%7D%5C%5C%5C%5C%20A%3D%5Ccfrac%7Bh%28a%2Bb%29%7D%7B2%7D~~%20%5Cbegin%7Bcases%7D%20h%3Dheight%5C%5C%20a%2Cb%3D%5Cstackrel%7Bparallel~sides%7D%7Bbases%7D%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20h%3D8%5C%5C%20a%3DAB%5C%5C%20b%3D3AB%5C%5C%20A%3D72%20%5Cend%7Bcases%7D%20%5Cimplies%20%5Cbegin%7Barray%7D%7Bllll%7D%2072%3D%5Ccfrac%7B8%28AB%2B3AB%29%7D%7B2%7D%5C%5C%5C%5C%2072%3D4%284AB%29%5Cimplies%2072%3D16AB%5C%5C%5C%5C%20%5Ccfrac%7B72%7D%7B16%7D%3DAB%5Cimplies%20%5Ccfrac%7B9%7D%7B2%7D%3DAB%20%5Cend%7Barray%7D)
Answer:
2 rides per hour
Step-by-step explanation:
she rode 18 rides in 9 hours
therefore rate at which she rides = 18/9 = 2