Question

The distance between ( 2, 3) and ( -4, 5) is _______​

Answer 1

Answer:

Given

We are given two points ( 2, 3) and ( -4,5)

Find out

We need to find the distance between the given points

Solution

Let us consider the points as (x1,y1) and (x2,y2)

Let us assume that

(x1,y1)= ( 2, 3) and (x2,y2)= ( -4,5)

Formula

We know the distance formula

Distance between two points (x1,y1) and (x2,y2) is √(x2−x1)2+(y2−y1)2

So, the distance between (2,3);(−4,5) can be calculated using the above formula as

√(−4−2)2+(5−3)2

=40

=2√10

Answer

The distance between (2,3) and (−4,5) is 2√10 units.

Answer 2

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GIVEN:

We are given two points ( 2, 3) and ( -4,5)

Find out

We need to find the distance between the given points.

SOLUTION:

Let us consider the points as (x1,y1) and (x2,y2)

Let us assume that

(x1, y1) = ( 2, 3) and (x2, y2) = ( -4, 5)

FORMULA

We know the distance formula

Distance between two points (x1, y1) and (x2, y2) is √(x2 − x1)2 + (y2 − y1)2

So, the distance between (2, 3);(−4, 5) can be calculated using the above formula as

√(−4−2)2+(5−3)2

=40

=2√10

The distance between (2,3) and (−4,5) is 2√10 units.