Answer:

Step-by-step explanation:
Notice that function
has the exat shape of function
, and it has just be translated to the right by 3 whole units.
Recall that horizontal translations to the right involve subtracting the number of units moved in the translation from the variable "x". therefore, in our case this means:

3/8 m - 1/4 m + 5/6 - 2/3
3/8 m - 2/8 m + 5/6 - 4/6
<u>1/8 m</u><u> + </u><u>1/6</u>
0.0340909091 is the answer
The given equation is:
y = -10x + 1
Slope of this equation = -10
New line will be perpendicular to this line, so slope of new line = 1/10
So, we are to find the equation of a line with slope 1/10 and passing through (5,7). Using the point slope form we can write
y - 7 = 1/10 ( x - 5)
y = x/10 -1/2 + 7
y = x/10 + 13/2
⇒
x/10 - y = -13/2
So option C gives the correct equation of the new line
The answer is D. 36pi units^3
Hope this helps!
The formula for cylinder volume is: pi*r^2*h