Question

A is on x-axis with abscissa 4 and B ≡ (−1, −12). Find the distance between A and B.

Answer 1

We need to find the distance between points:

Step 1: Recall the distance formula

A(4, 0) and B(−1,−12)

`"Distance" = sqrt((x_2 − x_1)^2 + (y_2 − y_1)^2)`

Step 2: Identify the coordinates

x₁ = 4, y₁ = 0

x₂ = −1, y₂ = −12

Step 3: Substitute values

`"Distance" = sqrt(((−1) −4)^2 + ((−12)−0)^2)`

`sqrt((−5)^2 + (−12)^2)`

`sqrt(25 + 144)`

`sqrt169`

= 13 units