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:
m (slope) = 37
Step-by-step explanation:
use the slope-line formula, y2 - y1/x2 - x1
put in coordinates (5, 20) for x1 and y1
put in coordinates (4, -17) for x2 and y2
simplify
Answer:
79.25
Step-by-step explanation:
Answer:
The answer is e
Step-by-step explanation: I calculated the percent and none of these match up 6% of 4000 is 240
Answer:
a
Step-by-step explanation:
the first box is 2 times as small as the the second
