Answer:
≈ 3.16 units
Step-by-step explanation:
To determine the distance between the two points, we need to use the distance formula. The distance formula states that;
[tex]\sqrt{(x_{2} - x_{1})^{2} + (y_2 - y_1)^{2} }[/tex]
Given coordinates;
When we substitute the coordinates into the formula, we get;
- [tex]\implies \sqrt{[5 - 6]^{2} + [-8 - (-5)]^{2} }[/tex]
When we simplify the root, we get;
- [tex]\implies \sqrt{[-1]^{2} + [-8 + 5]^{2} }[/tex]
- [tex]\implies \sqrt{[-1]^{2} + [-3]^{2} }[/tex]
- [tex]\implies \sqrt{1 +9 }[/tex]
- [tex]\implies \sqrt{10}[/tex] units ≈ 3.16 units (Using calculator)
Therefore, the distance between the points is about 3.16 units.
