Our family road trip to Yellowstone required driving approximately 610 miles. After 4 hours of driving we stopped for lunch and found we had traveled 252 miles. At this rate, how much longer (in hours) will the remainder of our trip take? Round your answer to the nearest tenth of an hour. PLEASE HELP

Write an equation of a line in slope intercept form that is perpendicular to the line 2x -3y = 12 and passes through the point (2, 6).

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?

Given the functions, f(x) = 2x^2 - 1 and g(x) = 5x, find f(g(x)) and g(f(