The distance between cities A and B is 600 km. A train left A and headed towards B at 60 km/hr. Another train left B and headed towards A at v km/hr. The trains met t hours after the time at which the first train left. Express v in terms of t.

v =

Step-by-step explanation:

Let the trains A and B meet each other after t hours after the departure of a train A.

Distance traveled by train A in t hours = Speed × time

                                                                      = 60 × t

Distance traveled by train B = v × t

Since, Distance between the cities A and B = 600 km

60t + vt = 600

vt = 600 - 60t

v =

Therefore, expression that the represents the relation between v and t will be,

v =

step-by-step explanation:

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c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)