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:
x>7
Step-by-step explanation:
3(1 + x) > x + 17
distribute
3 + 3x> x+17
subtract x from each side
3 +3x-x > x-x+17
3+2x > 17
subtract 3 from each side
3-3+2x > 17-3
2x>14
divide by 2
2x/2 > 14/2
x>7
When -29/8 is written as a decimal it becomes
Which is equivalent to -3.63, rounded to the nearest hundredth.
Now from here we will be able to tell if they're < , > or =
So, -3.63 is > -3.62
ANSWER: -29/8 > -3.62
Answer:
There are 60 ways to arrange the letters in the word PRIOR.
Can u be specific pls , so can u send the picture of the task
