Question

Find the distance between each pair of points (-4, 6) and (3,-7)​

Answer 1

Answer:

5

Explanation:

Answer 2

Answer:

The distance between the two points is  5 √ 2

Explanation:

Using the distance formula,

⇒

d = √ ( x 1 − x 2 ) ^2 + ( y 1 − y 2 ) ^2

we can plug in our points,

⇒

P 1= ( − 4 , 6 )

⇒

P 2 = ( 3 , 7 )

and solve for the distance:

⇒

d = √ ( x 1 − x 2 ) ^2+ ( y 1 − y 2 ) ^2

⇒ d = √( ( − 4 − 3 )^ 2 + ( 6 − 7 ) ^2)

⇒ d = √ (( − 7 ) ^2 + ( − 1 )^ 2)

⇒ d = √( 49 + 1)

⇒ d = √ 50

⇒ d = √( 25 ⋅ 2)

⇒ d = √( 5^ 2  ⋅  2)

⇒ d = √ 5 ^2  ⋅  √ 2

⇒ d = 5  ⋅  √ 2

⇒ d = 5 √ 2