Answer:
(-1,3)
Step-by-step explanation:
The slope is given by
m = (y2-y1)/(x2-x1)
1 = (2-3)/(-2-x)
Multiply each side by (-2-x)
(-2-x) = -1
Multiply by -1
2+x = 1
Subtract 2 from each side
2+x-2 = 1-2
x = -1
Answer:
Fraction: 
Decimal: 0.25
Percentage: 25%
Step-by-step explanation:
Have a good day :)
Directly proportional to x
z=kx
And inversely proportional to y
z=kx/y we are given the point (x,y,z) of (3, 6, 9.5) so
9.5=3k/6 now multiply both sides by 6
57=3k divide both sides by 3
19=k so now that we know the constant of proportionality:
z=19x/y, and we want to solve for z when x=8 and y=12 so:
z=19(8)/12
z=12 2/3 exact
z≈12.667 (rounded to the nearest thousandth)
I'm going to rewrite f(t) to make it a little easier to use the power rule:

Now just take the derivative using the power rule:

Since they ask for f'(a), we need to replace the t's with a's: