Question

Find the distance between the points. (-4, -2) and (5, 2) ^97 2^14 2^5 ^5

Answer 1

=sqrt(97)

Explanation:

The distance between the two points is found by

d = sqrt(( x2-x1)^2 + (y2-y1)^2)

= sqrt( ( 5--4)^2 + (2--2)^2)

= sqrt( ( 5+4)^2 + (2+2)^2)

= sqrt( ( 9)^2 + (4)^2)

= sqrt( 81 + 16)

=sqrt(97)

Answer 2

The distance between 2 points is √97 or 9.84

Explanation:

The distance between two points can be found using distance formula:

`d(x_(1),x_(2))=\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2}`

x₁ = -4, y₁ = -2 x₂ =5 and y₂ = 2

Putting values:

`d(x_(1),x_(2))=√((5-(-4))^2+(2-(-2))^2)\\d(x_(1),x_(2))=√((5+4)^2+(2+2)^2)\\d(x_(1),x_(2))=√((9)^2+(4)^2) \\d(x_(1),x_(2))=√(81+16)\\d(x_(1),x_(2))=√(97)`

So, the distance between 2 points is √97 or 9.84