Question

Find the distance between two points (-2,-2) and (4,6).​

Answer 1

Given points are A(−2,−8) and B(−4,−6).

To find out: The distance between the given points.

We know that, the distance between two points A(x

1

,y

1

) and B(x

2

,y

2

) is

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

∴ AB=

(−4−(−2))

2

+(−6−(−8))

2

⇒AB=

2

2

+2

2

=

4+4

∴ AB=

(8)

=2

2

Hence, the distance between the given points is 2

2

.

Answer 2

Answer : 2√5 is the answer

Step-by-step explanation:

Let A(-2,-2) and B(4,6)

Distance = √(X1+X2)²+ ( Y1+Y2)²

=√(-2+4)² + (-2+6)²

=√(2)²+(4)²

=√4+16

=√20

=2√5

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