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.
Hello there!
The correct answer is 13 1/3 yd².
Hope This Helps You!
Good Luck :)
Answer:
3(x-2)(x+5)
Step-by-step explanation:
1. Factor out common term 3
3(x^2 +3x-10)
2. Factor (x^2 +3x-10)
3(x-2)(x+5)
“.....” or a sequence of periods, is typically representative as an absence of thought or emotion.
Answer:
12
Step-by-step explanation:
4*x-9=2x+15
4x-9=2x+15
-2x -2x
2x-9=15
2x=24
x=12
