Answer:
B. 3x -2y = 10
Step-by-step explanation:
The given line rises three units for each two units of run to the right. Hence its slope is 3/2. A parallel line will also have a slope of 3/2.
Of the equations we can see, selection B has a slope of 3/2. It can be rewritten in slope-intercept form as ...
3x -10 = 2y . . . . . add 2y-10 to isolate the y-term; next divide by 2.
y = 3/2x -5 . . . . . the coefficient of x is the slope
4x + 2y = 5y + 7
4x - 3y = 7
4x - 3y = 7
8x + 3y = 41
----------------add
12x = 48
x = 48/12
x = 4
8x + 3y = 41
8(4) + 3y = 41
32 + 3y = 41
3y = 41 - 32
3y = 9
y = 9/3
y = 3
solution is (4,3)
It's 3x+2 because 3 ÷2 is 6 so it's 3x+2
Compute the volume of
:

Integrate
over
:

So the average value of
over
is 2/(4/3) = 3/2.
Step-by-step explanation:
everything can be found in the picture above