Let length of the hypotenuse = 3x and length of given leg be x feet.
then (3x)^2 = x^2 + 648
8x^2 = 648
x^2 = 81
so x = 9 and 3x = 27
Hypotenuse is 27 feet and the leg equals 9 feet.
Sherman wants to spend on each pet, so we are assuming he wants to spend the same amount. He has 5 pets in all (3 cats, 2 dogs)
Divide 22 with 5
22/5 = 4.4
He can spend $4.40, or in fraction form:
4 4/10 (Mixed fraction)
hope this helps
The function is y = 640/ 4^x and the graph decreases exponentially from 640 (for x =0) and asymptotically approacdhes zero (when x becomes larger and larger). This is an exponential decay.
Answer: the last option of the list. The graph will show exponential decay
A = x^2 + 6x - 27 A = x^2 + 9x - 3x - 27 A = x(x+9)-3(x+9) A = (x+9)(x-3) A = lw l = (x+9) w =(x-3)