Question

Help me slove this problem thank you ​

Answer 1

`\boxed{ \bold{ \boxed{ \sf{22 \: units}}}}`

Explanation:

Let the points be A and B

A ( -8 , - 18 )⇒( x₁ , y₁ )

B ( 14 , -18 )⇒( x₂ , y₂)

Finding the distance between these two points

`\sf{ \sqrt{ {(x2 - x1)}^(2) + {(y2 - y1)}^(2) } }`

Plug the values

⇒
`\sf{ \sqrt{ {(14 - ( - 8)}^(2) + {( - 18 - ( - 18))}^(2) } }`

We know that,
`\sf{( - ) * ( - ) = ( + )}`

⇒
`\sf{ \sqrt{ {(14 + 8)}^(2) + {( - 18 + 18)}^(2) } }`

Calculate

⇒
`\sf{ \sqrt{ {22}^(2) + {0}^(2) } }`

Evaluate the power

⇒
`\sf{ √(484) }`

⇒
`\sf{{22} }` units

Hope I helped !

Best regards!!