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:
12
Step-by-step explanation:
if each bar is cut into 3 pieces, then we multiply 4 by 3 to get 12.
Answer:
F(4) = 97
Step-by-step explanation:
F(x)= x³+2x²+1
when x = 4
F(4)= 4³+2(4²)+1
= 4³+2(4²)+1
= 64 + 2(16) + 1
= 64 + 32 + 1
= 97
Answer:
2? The last one
Step-by-step explanation:
-32 = 4c -12
add -34 by 12 which is -20
divide it by 4
c = -5
