Aperson is waiting in line to get into a sporting event. the data in the table represents the relative position, in feet, of the person to the entry gate over time in seconds.

what does the slope of the linear equation that models the data represent?

a) the person is moving closer to the entry gate at a rate of 1.5 feet per second

b) the persons speed is increasing as the person approaches at the entry gate

c) the persons speed is decreasing as the person approaches the entry gate

d) the person is moving farther away from the entry gate at a rate of 1.5 feet per second

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8

the answer is a beach is the best place to be

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.