Michael was driving at a constant speed of 60 mph when he crossed the sandy river .after 1 hour he passed a highway marker for mile 84 . write an equation in point slop form and find which highway marker he will pass 90 minutes after crossing the sandy river

speed of Michael = 60 mph

distance traveled in 1 hour = speed* time= 60 *1 = 60 miles

marker crossed after 1 hour = 84

so start point of Michael had marker = 84-60 =24

to write linear equation, lets consider a general linear equation y = mx + c

where m is slope and c is constant, y is marker and x is actual distance traveled from starting point

putting y = 84 x = 60 and y =24 and x = 0 in the equation we get

84 = m*60 + c

24 = m*0 + c

on  solving,

m = 1  c = 24

so the equation is y = x + 24

distance traveled in 90 minutes after crossing sandy river = 60*90/60 = 90 miles

total distance traveled from starting point = 90+60 = 150

putting  x = 150 in y =x+24

y = 174

highway marker he will pass 90 minutes after crossing the sandy river = 174

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

step-by-step explanation: 2