Answer: 35 inches.
Step-by-step explanation:
We know that:
hypotenuse = 5*y in
cathetus 1 = (x + 8) in
cathetus 2 = (x + 3) in
The perimeter of the triangle is 76 inches, then:
5*y + (x + 8) + (x + 3) = 76
5*y + 2*x + 13 = 76
We also know that the length of the hypotenuse minus the length of the shorter leg is 17 in.
The shorter leg is x + 3, then:
5*y - (x + 3) = 17
Then we have the equations:
5*y + 2*x + 11 = 76
5*y - (x + 3) = 17
With only these two we can solve the system, first we need to isolate one of the variables in one of the equations, i will isolate x in the second equation.
x = 5*y - 3 - 17 = 5*y - 20
x = 5*y - 20
Now we can replace this in the other equation, we get:
5*y + 2*x + 11 = 76
5*y + 2*(5*y - 20) + 11 = 76
15*y - 40 + 13 = 76
15*y - 29 = 76
15*y = 76 + 29 = 105
and remember that the hypotenuse is equal to 5*y, then we want to get:
3*(5*y) = 105
5*y = 105/3 = 35
5*y = 35
Then te length of the hypotenuse is 35 inches.
I find it easiest to use slope-intercept form, or y=mx+b, to do this.
First, find the slope. 6/3 = 2/1 = 2. m = 2.
Next, find the y-intercept. In this case they gave it to you directly. b = -3.
So, the equation would be y = 2x - 3.
Let the original cost of laptop=x
Savings=20% = 20/100
Saved amount = $140
Original cost = saved amount * 1/savings
x = 140* 100/20
x = $7000
Answer:
x=1
Step-by-step explanation:
5x-4=9
5x=9-4
5x=5
x=1
2 because rise/run so 8/4 which=2
