Answer:
198
Step-by-step explanation:
Think of PEMDAS
square -5 to get 25 and multiply by four
Square 7 to get 49 and multiply by 2
Add these together
9514 1404 393
Explanation:
The quadrilateral will be a parallelogram if the diagonals bisect each other. That will be the case if the sums of their end-point coordinates are the same.
A + C = (-3, 6) +(9, -9) = (6, -3)
B + D = (6, 0) +(0, -3) = (6, -3)
Both diagonals have their midpoint at (3, -1.5), so the diagonals are mutual bisectors. The figure ABCD must be a parallelogram.
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The midpoint of AC is (A+C)/2 = (6, -3)/2 = (3, -1.5).
The passing line equation is y=mx (_) +B ( )
Answer:
Step-by-step explanation:
we know that the total time of the show is 30 minutes.
commercial part = 3x+2
entertainment part = y
also we know that y = 3x +2
y + 3x+2 = 30
we can also say that
2(3(x) +2) = 30
so then
6x +4 = 30
6x = 26
x = 4
4
is the time in minutes for commercials
So when one goes up, the other goes down. This is an inverse equation.
An inverse equation looks like this: y = 1/x
In this case, when parking fee (f) decreases, cars (c) increase.
You know which side to put each variable on using the chart they gave you.
f | c
20.00 15 (20.00 = x/15) x=300
30.00 10 (30.00 = x/10) x=300
So your equation in this case is f = 300/c
Knowing that, plug in the fee of 6.00
6 = 300/c Multiply both sides by c.
6c = 300 Divide both sides by 6.
c = 50 cars