11.
3x - 2y = 2
5x - 5y = 10
We can divide the second one by 5,
x - y = 2
and multiply by 2,
2x - 2y = 4
Subtracting from the first equation,
3x - 2y - (2x - 2y) = 2 - 4
x = -2
y = x - 2 = -4
Check:
3x - 2y = 3(-2) - 2(-4) = -6 + 8 = 2 good
5x - 5y = 5(-2) - 5(-4) = -10 + 20 = 10 good
Answer: x=-2, y=-4
12. Factor
First we take out the common factor of 2. Then we need two numbers that add to 11 and multiply to 30; that's 5 and 6.
Answer: 2(k+5)(k+6)
13.
5x+3y = -15 Solve for x given y=0
5x+3(0)=-15
5x = -15
x = -15/5 = -3
Answer: -3
The area of the composite figure is
A.) 32 cm^2
Hope this helps! :)
First, you much find out how many houses are deliverd in 1 hour.
130/2.5=52
So 52 houses are delivered in 1 hour. Now, divide that by 312.
312/52=6
It would take 6 hours to deliver 312 houses.
We have the sum of cubes identity
and observing that 1 + 4 = 2 + 3, we have
and
Then
Alternatively, we have the well-known sum of cubes formula
The sum under the square root is this sum with . Then
and so the square root again reduces to 15.
It represents the total distance traveled by the car.
Answer D.