Ratio of width to length: W/L = 3/5
5W = 3L .........(a)
Perimeter = 2*(L+W) = 80
2*(L+W) = 80
(L+W) = 80/2. Divide both sides by 2.
L+W= 40......(b)
5W = 3L
L + W = 40 Multiply both sides by 5.
5*(L+W) = 5*40
5L+5W = 200. Recall from (a) 5W = 3L
5L + 3L = 200
8L = 200
L = 200/8
L = 25.
5W = 3L
5W = 3*25
W = 3*25/5
W = 15.
Therefore, the length, L = 25 and width , W = 15.
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.
<span>
C f(x) ≥ 0 over the interval [–1, 1]. </span>
9514 1404 393
Answer:
88 = 8m
Step-by-step explanation:
The product of 8 and m (which represents Mabel's score) is written <em>8m</em>. We are told that is equal to 88.
88 = 8m
Answer:
Step-by-step explanation:
SQRT(16*16 + 8*8)
=SQRT (320)
=17.9 miles