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.
It would be 50,000, because 5*10,000=50,000.
Answer:
this is what i found
Factor
x out of x 2
. x
⋅ x
− 6
x Factor x out of −
6
x
. x
⋅
x +
x
⋅
−
6 Factor x out of x
⋅
x +
x
⋅
−
6
.
x
(
x
−
6 )
Answer:
the second and the fourth have a range of real no
