Answer:
Step-by-step explanation:
In similar triangles, the corresponding sides will be in same ratio
![2) \frac{x}{8}=\frac{30}{15}\\\\x =\frac{30}{15}*8\\\\x=2*8\\\x = 16](https://tex.z-dn.net/?f=2%29%20%5Cfrac%7Bx%7D%7B8%7D%3D%5Cfrac%7B30%7D%7B15%7D%5C%5C%5C%5Cx%20%3D%5Cfrac%7B30%7D%7B15%7D%2A8%5C%5C%5C%5Cx%3D2%2A8%5C%5C%5Cx%20%3D%2016)
![3) \frac{x}{20}=\frac{12.8}{16}\\\\x = \frac{12.8}{16}*20\\\\x= \frac{128}{8}\\\\x = 16](https://tex.z-dn.net/?f=3%29%20%5Cfrac%7Bx%7D%7B20%7D%3D%5Cfrac%7B12.8%7D%7B16%7D%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B12.8%7D%7B16%7D%2A20%5C%5C%5C%5Cx%3D%20%5Cfrac%7B128%7D%7B8%7D%5C%5C%5C%5Cx%20%3D%2016)
![\frac{y}{10}=\frac{12.8}{16}\\\\y=\frac{12.8}{16}*10\\\\\\y=8](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B10%7D%3D%5Cfrac%7B12.8%7D%7B16%7D%5C%5C%5C%5Cy%3D%5Cfrac%7B12.8%7D%7B16%7D%2A10%5C%5C%5C%5C%5C%5Cy%3D8)
![4) \frac{x}{15}=\frac{8}{6.4}\\\\x=\frac{8}{6.4}*15\\x=18.75](https://tex.z-dn.net/?f=4%29%20%5Cfrac%7Bx%7D%7B15%7D%3D%5Cfrac%7B8%7D%7B6.4%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B8%7D%7B6.4%7D%2A15%5C%5Cx%3D18.75)
![5) \frac{x}{12}=\frac{22.5}{9}\\\\x=\frac{22.5*12}{9}\\\\x= 30](https://tex.z-dn.net/?f=5%29%20%5Cfrac%7Bx%7D%7B12%7D%3D%5Cfrac%7B22.5%7D%7B9%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B22.5%2A12%7D%7B9%7D%5C%5C%5C%5Cx%3D%2030)
![6)\frac{14}{8}=\frac{7}{4}\\\\\frac{12}{6}=\frac{2}{1}\\\\\frac{10}{5}=\frac{2}{1}](https://tex.z-dn.net/?f=6%29%5Cfrac%7B14%7D%7B8%7D%3D%5Cfrac%7B7%7D%7B4%7D%5C%5C%5C%5C%5Cfrac%7B12%7D%7B6%7D%3D%5Cfrac%7B2%7D%7B1%7D%5C%5C%5C%5C%5Cfrac%7B10%7D%7B5%7D%3D%5Cfrac%7B2%7D%7B1%7D)
As the ratio of corresponding sides are not proportion, these are not similar triangles
Subtract .018 from 9 to get the answer
9 - .018 = 8.982
we are given
![x^2y-2xy-24y=y(x^2-2x-24)](https://tex.z-dn.net/?f=x%5E2y-2xy-24y%3Dy%28x%5E2-2x-24%29)
now, we can factor out right side term
![x^2-2x-24=x^2-6x+4x-6*4](https://tex.z-dn.net/?f=x%5E2-2x-24%3Dx%5E2-6x%2B4x-6%2A4)
![x^2-2x-24=(x-6)(x+4)](https://tex.z-dn.net/?f=x%5E2-2x-24%3D%28x-6%29%28x%2B4%29)
now, we can plug back
and we get
so,
.............Answer
Answer:
B.
f(x) = x2 - 9x + 10
Step-by-step explanation: