Answer:
Step-by-step explanation:
Use the distance formula for coordinate geoemetry and the fact that x1 = 3, y1 = 5, x2 = 6 and y2 = 8 to fill in the formula:
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
fills in accordingly:
[tex]d=\sqrt{(6-3)^2+(8-5)^2}[/tex]
which simplifies a bit to
[tex]d=\sqrt{(3)^2+(3)^2}[/tex]
which is
[tex]d=\sqrt{18}[/tex]
The square root of 18 simplifies down to [tex]3\sqrt{2}[/tex], which is 4.2426 in decimal form
Answer:
4.24 units
Step-by-step explanation:
We can use the distance formula to solve this.
Distance formula: d = √((x₁ - x₂)² + (y₁ - y₂)²), where (x₁, y₁) and (x₂, y₂) are the two coordinates.
Plug in: d = √((3 - 6)² + (5 - 8)²)
Subtract: d = √((-3)² + (-3)²))
Square: d = √(9 + 9)
Add: d = √18
Square root: d = 4.24264... ≈ 4.24 units
