Let s represent the length of any one side of the original square. The longer side of the resulting rectangle is s + 9 and the shorter side s - 2.
The area of this rectangle is (s+9)(s-2) = 60 in^2.
This is a quadratic equation and can be solved using various methods. Let's rewrite this equation in standard form: s^2 + 7s - 18 = 60, or:
s^2 + 7s - 78 = 0. This factors as follows: (s+13)(s-6)=0, so that s = -13 and s= 6. Discard s = -13, since the side length cannot be negative. Then s = 6, and the area of the original square was 36 in^2.
Answer:
I don't know the answer but i recommend a website called cymath. It is a calculator to any equation and demonstrates the procedures.
9514 1404 393
Answer:
A) 504
B) 8
Step-by-step explanation:
The statement of proportionality can be written as the equation ...
m = kr²
Then we can find k from ...
k = m/r² = 14/2² = 7/2
That is, ...
m = (7/2)r²
__
Using this relation, we can find m for r=12:
m = (7/2)·12² = 7·72
m = 504 . . . for r = 12
__
And, we can use the same equation to solve for r when m=224.
224 = 7/2·r²
r² = 64
r = √64
r = 8 . . . for m = 224
The answer:
the total distance of the trip is 821 miles from home,
for this the car <span>gets 24 miles per gallon
</span>the average price of gas is $3.74 per gallon
the price can be calculated as:
for the trip,
24 miles-------------1 gallon
821 miles------------ x= 821/24=34.20 gallons
1 gallon------------- $3.74
34.20 gallons---------x=?
to find this value
34.20 gallons x $3.74 = $127.93.
