Question

Find the distance between the origin and (-12,-9)​

Answer 1

Answer:

Distance (d) = 15

Step-by-step explanation:

The given requires the distance between the point of origin, (0, 0), and (-12, 9). We can use the following distance formula for this problem:

$\displaystyle\mathsf{Distance(d)=\:\sqrt{(x_2-x_1)^2\:+\:(y_2-y_1)^2}}$

Let (x₁, y₁) = (0, 0)

     (x₂, y₂) = (-12, 9)

Substitute these values into the distance formula.

$\displaystyle\mathsf{Distance(d)=\:\sqrt{(x_2-x_1)^2\:+\:(y_2-y_1)^2}}$

$\displaystyle\mathsf{Distance(d)=\:\sqrt{(-12\:-\:0)^2\:+\:(9-0)^2}}$

Perform the required subtraction within each parenthesis:

$\displaystyle\mathsf{Distance(d)=\:\sqrt{(-12)^2\:+\:(9)^2}}$

Next, take the squared values of -12 and 9 under the radical:

$\displaystyle\mathsf{Distance(d)=\:\sqrt{144\:+\:81}}$

Add 144 and 81:

$\displaystyle\mathsf{Distance(d)=\:\sqrt{225}}$

Distance (d) = 15

Answer:

Therefore, the distance between the point of origin and (-12, 9) is 15.