Question

On a coordinate grid, the location of a bank is (–4, 8) and the location of a post office is (2, 0). The scale used is 1 unit = 50 m. What is the shortest possible distance between the bank and the post office *​

Answer 1

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

FORMULA TO BE IMPLEMENTED

$\sf{The \: Distance \: between \: two \: points \: (x_1,y_1) and (x_2,y_2) \: is\: }$

$= \sf{ \sqrt{{(x_2-x_1)}^{2} +{(y_2-y_1)}^{2}} } \: \: \: unit$

GIVEN

On a coordinate grid, the location of a bank is (–4, 8) and the location of a post office is (2, 0)

The scale used is 1 unit = 50 m

TO DETERMINE

The shortest possible distance between the bank and the post office

CALCULATION

Let us first plot the points in paper in coordinate system ( Refer to the attachment )

Let the position of bank is A ( - 4, 8 ) & the position of post office is B ( 2, 0 )

From the figure it is clear that the shortest distance between bank & post office is

$\sf{AB \: = \sqrt{ {( - 4 - 2)}^{2} + {(8 - 0)}^{2} } } \: \: \: \: unit$

$\implies\sf{AB \: = \sqrt{36 + 64} } \: \: \: unit$

$\implies\sf{AB \: = 10}\: \: \: unit$

Now The scale used is 1 unit = 50 m

Hence the shortest distance between bank & post office

$= \sf{(10 \times 50) \: \: metre}$

$= \sf{500 \: \: metre}$

━━━━━━━━━━━━━━━━

LEARN MORE FROM BRAINLY

The no. of lines that can be drawn through the point (5,2) at a distance of 5 units from the point (2,-2)

https://brainly.in/question/21278599

Answer 2

Answer:

please mark brainliest and follow me..