Answer:
the slope formula is
M=rise/run= y2-y1/ X2-X1 so the correct awnser to the picture is b
|x+4| = 3x - 5
x + 4 = 3x - 5
2x = 9
x = 9/2
-(x+4) = 3x - 5
-x -4 = 3x - 5
4x = 1
x = 1/4
answer
x = 1/4
x = 9/2
A table will have a length and width, so the area will be just that, the product of those two factors, so in short, simply factor the area of x²+7x-30.
now, if we do a "prime factoring" of 30, we get 2*3*5, and we can mix them as 2*5 and 3, to get the factors of (x² + 10)(x²-3).
Basically look for the intersection points of these two functions by setting them equal to each other.
-x^2 + 6x = 21/4 - x/4
-x^2 + (25/4)x - 21/4 = 0
x = 1 and x = 21/4
Plug these points back to any of the two original equations, you will get
(1,5) and (21/4, 63/16)
Because 1/2 = 3/6
therefore you have to multiply 1/6 by 3 to achieve that.