Write an equation of the line that passes through (3, 8) and is perpendicular to the line y = 5x - 4

y = -1/5x + 48/5 or y = -1/5x + 8.6

Step-by-step explanation:

Using the equation of line

y - y_1 = m(x - x_1)

First find the slope

y = 5x - 4

Note, if two lines are perpendicular, their slope will be negative reciprocal

Slope = m = -1/5

Using the equation

y -y_1 = m(x - x_1)

With the point ( 3, 8)

x_1 = 3

y_1 = 8

y - 8 = -1/5 ( x - 3)

y - 8 = -1(x -3)/5

Open the bracket

y - 8 =( -x +3 )/ 5

y = (-x +3)/5 + 8

LCM Is 5..

y =( -x +3 + 40)/5

y = (-x + 43)/5

We can still separate

y = -x/5 + 43/5

y = -1/5x + 43/5

y = -1/5x + 8.6

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation:

x = 25

step-by-step explanation:

a^2+b^2=c^2

7^2+24^2=c^2

49+576=625

sqrt625=25

x=25