Question

Find the distance between the points (-4, -5 and (3, -1.

Answer 1

Answer:
`√(65) \\`

i got it right in my quiz

Answer 2

≡ We know that:
⇔
`(x_(1),y_(1))` →
`(-4,-5)`
⇔
`(x_(2),y_(2))` →
`(3,-1)`

≡ Solution:
⇒
`\sqrt{[(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)]}`
⇒
`\sqrt{[(3-(-4))^(2)+(-1-(-5))^(2)]}`
⇒
`\sqrt{[7^(2)+4^(2)]}`
⇒
`√([49+16])`
⇒
`\boxed{√(65)}`