Blake is driving home from the water park. He drives for 60 miles and stops to rest before driving 20 more miles. Unfortunately, Blake remembers he was supposed to pick up a present for his friend on the way home, so he turns around and drives 36 miles back towards the water park. Once he picks up the present, he drives the rest of the way home, which is 70 miles away. What is the distance from the water park to Blake's home?

The distance from the water park to Blake's home is 114 miles.

Step-by-step explanation:

Let's list out the steps!

1) Blake started at his home. (+0) (0)

2) Then he drove 60 miles towards his home. (+60) (60)

3) He stops and rests. (+0) (60)

4) He drives another 20 miles. (+ 20) (80)

5) He drives back, 36 miles, towards the water park. (-36) (44)

6) He drives home, which is 70 miles. (+70) (114)

The first number after each statement, is the miles added/subtracted, with each step. The second number in parenthesis, is what the total miles is, UP to that step.

Thus, from the water park, to Blake's home, it is 114 miles!

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )