Step-by-step explanation:
perimeter=(L+W)2
L=x^2+2x-3
W=2x^2+3x+5
(x^2+2x-3+2x^2+3x+5)2
(x^2+2x^2+2x+3x-3+5)2
(3x^2+5x+2)2
p=(6x^2+10x+4)units
Let x and y represent the numbers of gallons used by the 40 mpg and 35 mpg cars, respectively.
.. x +y = 40 . . . . . . . . . . .total consumption is 40 gallons
.. 40x +35y = 1525 . . . . total miles driven = 1525
Multiply the first equation by 40 and subtract the second.
.. 40(x +y) -(40x +35y) = 40(40) -(1525)
.. 5y = 75
.. y = 15
.. x = 40 -15 = 25
The 40 mpg car consumed 25 gallons.
The 35 mpg car consumed 15 gallons.
Because BLIND is similar to FAITH,
for corresponding sides we can write,
|BL|/|FA| = |LI|/|AI| = |IN|/|IT| = |ND|/|TH| = |DB|/|HF|.
For corresponding angles we can write
m∠B=m∠F, m∠L=m∠A, m∠LIN=m∠AIT, m∠N=m∠T, m∠D=m∠H.
Answer:
$1615.05
Step-by-step explanation:
First the cost. We know that tuition per credit hour is 113.67 and there is a flat fee of 660. This can be represented by 113.67h + 660, where h is equal to the number of credit hours.
Next, the amount paid. There are two constants of 350 and 400 already there. We can represent the remaining amount that needs to be paid by another variable, x.
Now, the cost needs to be equal to the amount you pay. We can replace h with 15 for 15 hours and solve for x.
113.67h + 660 = 350 + 400 + x
113.67(15) + 660 = 350 + 400 + x
1705.05 + 660 = 750 + x
2365.05 = 750 + x
1615.05 = x
