Question

A grid shows the positions of a subway stop and your house. The subway stop is located at (7,3) and your house is located at (4-5). What is

the distance, to the nearest unit, between your house and the subway stop?

Answer 1

9 units

Explanation:

In a coordinate plane with point P( x , y) and Q(a,b ).

distance between these are points is given by equation

distance between PQ =
`√((x-a)^2 + (y-b)^2)`.

Coordinate of subway stop = (7,3)

Coordinate of house = (4-5)

Therefore using the above the formula to calculate distance between

house and the subway stop is given by

distance =
`√((7-4)^2 + (3-(-5)^2)\\\\=>√((3)^2 + (3+5)^2)\\\\=>√(9 + (8)^2)\\\\=>√(9 + 64)\\\\=>√(9 + 64)\\\\=>√(73)\\\\=>8.544`

Therefore, distance between house and the subway stop is 8.544 units.

But it is given that distance should be to the nearest unit.

any decimal value greater than or equal to .5 is equivalent to 1 in nearest unit.

Thus, 8.544 units is equivalent to 9 units (in nearest unit)