Answer:
The scale factor is 2/3
Step-by-step explanation:
Answer:
To find the slope of this line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y. But the slope of the lines will be the same.
2d+4=10+2.5d
-2d -2d
4=10+0.5d
-10 -10
-6=0.5d
/0.5 /0.5
-12=d
d=-12
Answer:
The answer is "
"
Step-by-step explanation:
Please find the graph file.
![h= y=2x-x^2\\\\r= x\\\\Area=2\pi\times r\times h\\\\= 2 \pi \times x \times (2x-x^2)\\\\= 2 \pi \times 2x^2-x^3\\\\volume \ V(x)=\int \ A(x)\ dx\\\\= \int^{x=1}_{x=0} 2\pi (2x^2-x^3)\ dx\\\\= 2\pi [(\frac{2x^3}{3}-\frac{x^4}{4})]^{1}_{0} \\\\= 2\pi [(\frac{2}{3}-\frac{1}{4})-(0-0)] \\\\= 2\pi \times \frac{5}{12}\\\\=\frac{5\pi}{6}\\\\](https://tex.z-dn.net/?f=h%3D%20y%3D2x-x%5E2%5C%5C%5C%5Cr%3D%20x%5C%5C%5C%5CArea%3D2%5Cpi%5Ctimes%20r%5Ctimes%20h%5C%5C%5C%5C%3D%202%20%5Cpi%20%5Ctimes%20x%20%5Ctimes%20%282x-x%5E2%29%5C%5C%5C%5C%3D%202%20%5Cpi%20%5Ctimes%202x%5E2-x%5E3%5C%5C%5C%5Cvolume%20%5C%20V%28x%29%3D%5Cint%20%5C%20A%28x%29%5C%20dx%5C%5C%5C%5C%3D%20%5Cint%5E%7Bx%3D1%7D_%7Bx%3D0%7D%202%5Cpi%20%282x%5E2-x%5E3%29%5C%20dx%5C%5C%5C%5C%3D%202%5Cpi%20%5B%28%5Cfrac%7B2x%5E3%7D%7B3%7D-%5Cfrac%7Bx%5E4%7D%7B4%7D%29%5D%5E%7B1%7D_%7B0%7D%20%5C%5C%5C%5C%3D%202%5Cpi%20%5B%28%5Cfrac%7B2%7D%7B3%7D-%5Cfrac%7B1%7D%7B4%7D%29-%280-0%29%5D%20%5C%5C%5C%5C%3D%202%5Cpi%20%5Ctimes%20%5Cfrac%7B5%7D%7B12%7D%5C%5C%5C%5C%3D%5Cfrac%7B5%5Cpi%7D%7B6%7D%5C%5C%5C%5C)
Answer:
Step-by-step explanation:
Let n represent the number of friends who went to the movies with you.
Then ($12/ticket)n + $15 = $75. Solving for n, we get:
$75 - $15 $60
---------------- = ----------------- = 5 so a total of 5 friends went with you.
($12/ticket) ($12/ticket)
