On a map that bus stop is at the coordinates (5,4) and the pond is at the coordinates (8,5) what is the distance from the bus stop to the pond to the nearest unit

Hence the distance is 3.16

Step-by-step explanation:

Given data

The bus stop is at the coordinates (5,4) and

x1=5

y1=4

The pond is at the coordinates (8,5)

x2=8

y2=5

The expression for the distance between two coordinates is

d=√((x_2-x_1)²+(y_2-y_1)²)

Substitute

d=√((8-5)²+(5-4)²)

d=√((3)²+(1)²)

d=√9+1

d=√10

d=3.16

15

step-by-step explanation:

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this