Answer:
The length of the longest side of the triangle is 13 inches
Step-by-step explanation:
step 1
Find the value of x
we know that
The perimeter of triangle is equal to the sum of its three length sides
so


we have

substitute

solve for x

step 2
Find the length of the longest side of the triangle
Remember that in a right triangle, the longest side is the hypotenuse
so
(2x+3) is the longest side
substitute the value of x

A = P(1+r)^t
A = amount made after the specified time
P = original amount of money
r = rate
t = time
2500 = 1800 (1 + r)^2
2500/1800=(1800(1+r)^2)/1800
1.3888 = (1+r)^2
1.17851 = (1 +r)
1.17851 - 1 = r
Rate = .17851
3y = -1/2x + 2 . . . . . . . . (1)
y = -x + 9 . . . . . . . . (2)
substituting (2) into (1), we have
3(-x + 9) = -1/2x + 2
-3x + 27 = -1/2x + 2
-1/2x + 3x = 27 - 2
5/2x = 25
x = (2 x 25)/5
x = 10
From (2)
y = -10 + 9
y = -1
solution (10, -1)