The answer would be 6 the easy way is to divide 48 by 8
Note that c is the hypotenuse of the blue triangle, and that the Pyth. Thm. states that (length of one leg)^2 + (length of the other leg)^2 = (hyp)^2.
Therefore, (hyp)^2 = c^2 = [2sqrt(x^2+3x)]^2 + 3^2, or
= 4(x^2+3x) + 9, or
= 4x^2 + 12x + 9 = (2x+3)^2
Taking the sqrt of both sides, c = plus or minus (2x+3). Eliminate -(2x+3) because the middle term of the square of this would be negative, in conflict with the given +12x.
c=2x+3 is the correct answer.
Answer:
b. y=2x-200
c. there will be no profit because 2 times 100 = 200, meaning they only earned back the money they already spent.
d. (domain or y-values) minimum: -200 maximum: 320
(range or x-values) maximum: 260
I cant see the numerators on the numbers on the top one but the last one is 53/60.
The volume is V≈678.58cm³