A hiker is returning to a campsite that is 2 miles east and 7 miles south from their current position. The hiker is currently walking east along a path. The hiker plans to leave the path and walk in a straight line diagonally towards the cabin through the woods. The hiker can walk 4 times faster along the path than they can walk through the woods. Where should the hiker leave the path and turn into the woods if they want to get to the campsite as quickly as possible

When graphing the two equations, the point of intersection is the solution. *by the way the top question is an example of the graph* to graph each equation, apply the slope intercept form, y = mx + b *find solution for all* equations: 1) y = 5x - 2 y = x + 6 2) y = 2x - 4 y = x +2 3) y = x + 2 y = -x +2 now for questions 4-6, check the solution too 4) y = 3x + 2 y = 3x - 4 m= m= b= b= 5) y = 2x + 1 2y = 4x + 2 m= m= b= b= 6) y = x - 3 y = -x +3 m= m= b= b= *dont have to check solution for 7-9* 7) y = 5x + 1 y = x - 3 8) y = x - 5 y = 3x + 1 9) y = 3x - 1 y = 3x - 4

As part of an annual fundraiser to raise money for diabetes research, diane joined a bikeathon. the track she biked on was 1,920 yards long. diane biked 38.5 laps. her sponsors agreed to donate an amount of money for each mile she biked. how many miles did she bike? first fill in the blanks on the left side using the ratios shown. then write your answer. given ratios: 5280ft / 1 mi , 1 mi /5280 ft , 1,920 yards / 1 lap , 1 lap / 1,920 yards , 3 ft / 1 yard , 1 yard / 3 ft. blanks: 38.5 laps / 1 yard x (blank) x (blank) x (blank) = (blank) miles i'm really confused on how to do this, and the explanations aren't exactly . if you could walk me through how to do this, it would be greatly appreciated.

Which are factor pairs of 350? choose all answers that are correct. a) 30 and 12 b) 35 and 10 c) 70 and 5 d) 2 and 125