Question

Calculate the distance between the two points. Roundyour answer to the nearest tenth, if necessary

Answer 1

Answer:

The distance between the two points is 8.1

Explanations:

To get the distance between the two points, we are going to follow these steps:

Step 1: Locate the coordinates (x, y) of the two points

The coordinates of the two points are (2, -4) and (6, 3)

Step 2: Write down the formula to calculate the idstance between two point (x ₁, y ₁) and (x₂, y₂).

The formula for the distance between two points is:

`D\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

Step 3: Subsitute the coordinates x ₁ = 2, y₁ = -4, x₂ = 6, y₂ = 3 into the equation given in step 2 above

`\begin{gathered} D\text{ = }\sqrt[]{(6-2)^2+(3-(-4))^2} \\ D\text{ = }\sqrt[]{4^2+7^2} \\ D=\text{ }\sqrt[]{16+49} \\ D=\text{ }\sqrt[]{65} \\ D\text{ = }8.1 \end{gathered}`