Answer:
Yes, (6, -2) is a solution to the given system of equations.
Step-by-step explanation:
Please write y = –1/6 x − 1 y = 1/6 x − 3 as follows, for greater clarity:
y = (–1/6)x − 1
y = (1/6)x − 3
Let's actually solve this system:
y = (–1/6)x − 1
y = (1/6)x − 3
-----------------------
2y = -4, or y = -2
Now find x. Arbitrarily we choose to use the first equation for this purpose:
y = (-1/6)x - 1. We set y = -2 and find x: -2 = (-1/6)x - 1
Combining the constants, we get -1 = (-1/6)x, or 6 = x
Yes, (6, -2) is a solution to the given system of equations.
The room is 20 / 3 yd by 15 / 3 = 5 yd, which is (20 / 3) x 5 = 33.33 square yards. So the cost of carpeting would be 33.33 x 37 = $1233.33
Answer:
C. Reflection across the y-axis
Step-by-step explanation:
Reflection across y axis= (x,y) to (-x,y) so B (1,2) is now B'(-1,2). Hope this helped!
2.4 pieces of rope
If each peice is 5 feet long and she only needs 2.4 pieces to make 12 yds.
Answer:
Total = 686000 meters for 10 weeks 7 days a week.
Step-by-step explanation:
Let's solve this by doing the increase on just 1 training day per week. Then we can find the grand total for 7 days a week by multiplying by 7
a = 8000
n = 10
d = 400
Sum = (a + L)*n/2
- L = a + (n - 1)*d
- L = 8000 + (10 - 1)*400
- L = 8000 + 9*400
- L = 8000 + 3600
- L = 11600 meters
Sum = (8000 + 11600)*10/2
Sum = 19600 * 10/2
Sum = 98000 meters.
This total represents 1 training day a week.
The total amount is 7 times this figure.
Total = 7 * 98000 = 686 000 meters.
