Given that the area is equal to twice the perimeter and the dimensions are:
length=4x ft, width=(x+6) ft
the perimeter will be:
P=2(L+W)
P=2(4x+(x+6))
P=2(4x+x+6)
P=2(5x+6)
P=(10x+12)
Area of the rectangle is:
A=4x(x+6)
A=4x²+24x
but:
2P=A
thus
2(10x+12)=4x²+24x
20x+24=4x²+24x
thus
4x²+4x-24=0
x²+x-6=0
x²-2x+3x-6=0
x(x-2)+3(x-2)=0
(x-2)(x+3)=0
thus the answer is:
x=-3 or x=2
thus
length=4x=4*2=8 ft
width=(x+6)=(2+6)=8 ft
Answer:
$7.95-$2.25=x
Step-by-step explanation:
pls brainliest
Answer:
6y + 4x = 18 5/6
Step-by-step explanation:
-2x+5y=19
y= -5/6x - 1/6
Combine the xs
Combine the ys
Combine the whole numbers
6y + 4x = 18 5/6
Answer:
9.4
Step-by-step explanation:
Hey there!
The question is asking us to use the model to find how long it would take for the loan amount to reach 7,000
In order to answer this, we need to make 7,000 equal to the equation:
7000=5000+5000(0.0425t)
Subtract 5000 from both sides
2000=5000(0.0425t)
Now we simplify the RHS
2000 = 212.5t
Now you divide both sides by 212.5 to get t by itself
t=9.41
So it would take 9.4 months for the loan amount to reach 7000
Make sure they have common denominators.
-2/3 x (2/2) = -4/6
-4/6 + -4/6 = -8/6
-8/6 = - 1 2/6
-1 2/6 or -1 1/3 simplified, is your answer
hope this helps
