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:
.
Answer:
42°
Step-by-step explanation:
It is always good to draw a picture to help you. In this case
tan F = 40/44
m∠F = arctan (40/44) = 42°
Answer:
Your movie marathon will last 6 hours.
Step-by-step explanation:
This question can be solved using a rule of three.
Each movie lasts
hours. How much do 4 movies last?
So
1 movie - 1.5 hours
4 movies - x hours
x = 4*1.5 = 6
Your movie marathon will last 6 hours.
(3m^2-p)(3m-p^2)
You factor out the 3m^2 and p from the combined like terms and then group those into a factor and group the two identical factors together and (3m^2-p)(3m-p^2) is your answer.
You shade below the line or above depending on the sign (graphing inequalities). > means above. < means below.