1. Take an arbitrary point that lies on the first line y=3x+10. Let x=0, then y=10 and point has coordinates (0,10).
2. Use formula 
to find the distance from point 
to the line Ax+By+C=0.
The second line has equation y=3x-20, that is 3x-y-20=0. By the previous formula the distance from the point (0,10) to the line 3x-y-20=0 is:
.
3. Since lines y=3x+10 and y=3x-20 are parallel, then the distance between these lines are the same as the distance from an arbitrary point from the first line to the second line.
Answer: 
.
1 is false, 2 is true, 3 is false, 4 is false
Answer:
1/4 <u>divided by</u> 1/3
1/3 <u>divided into</u> 1/4
<u>How many</u> 1/3 <u>are in</u> 1/4
Step-by-step explanation:
Answer:
t = 28 minutes
Step-by-step explanation:
Last Saturday, Camila practiced her dance routines for her upcoming competition. She spent some time practicing her tap routine, and then she spent 17 minutes practicing her hip-hop routine. In all, she practiced for 45 minutes. Let t be the number of minutes that Camila practiced her tap routine. Write and solve an equation to find t.
45 minutes = Number of minutes for hip-hop routine + Number of minutes for tap dance
The equation is given as
45 = 17 + t
Solving for t
t = 45 - 17
t = 28 minutes
Shes spent 28 minutes tap dancing
Answer:y = y = (32 - 6x)/(7 - x)
Step-by-step explanation:
1. Distribute -> 7y - 56 + 24 = xy - 6x
2. Add Like Terms -> 7y - 32 = xy - 6x
3. Collect Like Terms -> 7y - xy = 32 - 6x
4. Factor Out the "y" -> y(7 - x) = 32 - 6x
5. Divide Out the Left "x" -> y = (32 - 6x)/(7 - x)
