Question

Find the distance between points M(-1,-10) and P(-12,-3). Round to the nearest tenth

Answer 1

Answer: Distance = √170

Explanation:

Concept:

Here, we need to know the concept of the distance formula.

The distance formula is the formula, which is used to find the distance between any two points.

If you are still confused, please refer to the attachment below for a clear version of the formula.

Solve:

Find the distance between M and P, where:

• M (-1, -10)
• P (-12, -3)

`Distance = √((x_2-x_1)^2+(y_2-y_1)^2)`

`Distance = √((-3+10)^2+(-12+1)^2)`

`Distance = √((7)^2+(-11)^2)`

`Distance = √(49+121)`

`Distance = √(170)`

Hope this helps!! :)

Please let me know if you have any questions

Answer 2

Explanation:

(x₁ , y₁) = (-1 , -10) & (x₂,y₂)=(-12,-3)

Distance =
`\sqrt{(x_2-x_1)^(2)+(y_2-y_1)^(2)}`

`= \sqrt{(-12-[-1])^(2)+(-3-[-10])^(2)}\\\\= \sqrt{(-12+1)^(2)+(-3+10)^(2)}\\\\=\sqrt{(-11)^(2)+(7)^(2)}\\\\= √(121+49)\\\\=√(170)`

= 13.03

= 13