Question

How can you find this distance (-3,7),(0,4) in words

Answer 1

3√2

Explanation:

We have given two points and we have to find distance between them.

let (x₁,y₁) = (-3,7) and (x₂,y₂) = (0,4)

d = ?

The formual to find the distence between two points is:

d = √(x₂-x₁)²+(y₂-y₁)²

Putting given values in above formula , we have

d = √(0-(-3))²+(4-7)²

d = √(3)²+(-3)²

d = √9+9

d = √18

d =√2×9

d = 3√2

The distnce between given two points is 3√2.

Answer 2

The distance between these two given points is:

`3√(2)`

Explanation:

We are given two points:

(-3,7),(0,4)

The distance between two points (a,b) and (c,d) is given by the distance formula as:

`\sqrt{(c-a)^2+(d-b)^2`

similarly we can find the length of a line segment by considering the distance between the end points of the line segment.

So here (a,b)=(-3,7)

and (c,d)=(0,4).

Hence distance between these two points is given by:

`√((0-(-3))^2+(4-7)^2)=√((3)^2+(-3)^2)=√(9+9)\\   \\=√(18) \\\\=3√(2)`