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.
Multiply 200 by .15, since 15% is .15 as a decimal. 200 x .15 = 30. This means that his health care rate will increase by $30 next year.
Answer:
Step-by-step explanation:
<u><em>System A and System B are </em></u><u><em>not equivalent</em></u> !!!
Answer:140ft2
Step-by-step explanation: area= base times height
Area=14ft . 10ft
Area=140ft2
