The diagonal of a rectangle = sqrt(w^2 + l^2)
w = width
l = length
In this problem,
The diagonal = 20 in
w = x
l = 2x + 8
Let's plug our numbers into the formula above.
20in = sqrt((x)^2 + (2x + 8)^2)
Let's simplify the inside of the sqrt
20 in = sqrt(5x^2 + 32x + 64)
Now, let's square both sides.
400 = 5x^2 + 32x + 64
Subtract 400 from both sides.
0 = 5x^2 + 32x - 336
Factor
0 = (5x - 28)(x + 12)
Set both terms equal to zero and solve.
x + 12 = 0
Subtract 12 from both sides.
x = -12
5x - 28 = 0
Add 28 to both sides.
5x = 28
Divide both sides by 5
x = 28/5
The width cant be a negative number so now we know that the only real solution is 28/5
Let's plug 28/5 into our length equation.
Length = 2(28/5) + 8 = 56/5 + 8 = 96/5
In conclusion,
Length = 96/5 inches
Width = 28/5
Answer:
An origination fee is typically 0.5% to 1% of the loan amount and is charged by a lender as compensation for processing a loan application. Origination fees are sometimes negotiable, but reducing them or avoiding them usually means paying a higher interest rate over the life of the loan
Step-by-step explanation:
Answer:
i think the answer is 72
Step-by-step explanation:
Answer:
Draw an open circle on 3 and shade to the left.
Step-by-step explanation:
First, solve the inequality.
x - 6 < -3
x - 6 + 6 < -3 + 6
x < 3
The less than symbol (<) indicates that 3 is not part of the solution set. Therefore, the circle will be open.
Since the inequality indicates that x is less than 3, shade to the left of 3.
Hope that helps. :)
Answer:
The answer is 27.15
this is your equation to your answer step by step
4.40+ 3.25=
7.65
7.65+3.25=10.9
10.9+3.25=14.15
14.5+3.25=17.4
17.4+3.25=20.65
20.65+3.25=23.9
23.9+3.25=
