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: 
.
G = 16 or -16
|g| needs to be 16 because 15 + 1 is 16 and an absolute value is how far a value is from 0, so both |16| and |-16| are 16
Answer:
Two angles can be vertical and supplementary only if they add up to 90 degrees because there perpendicular.
Step-by-step explanation:
Age of Sita is 14.25 years and her father is 42.75 years
Step-by-step explanation:
- Step 1: From given details, let present age of Sita be x and that of her father be 3x.
- Step 2: Form equations based on their ages in 6 years. (Given sum is 69)
⇒ (x + 6) + (3x + 6) = 69
⇒ 4x + 12 = 69
⇒ 4x = 57
⇒ x = 14.25
- Step 3: Calculate age of Sita's father
⇒ 3x = 42.75
