Answer:
5√2 or 7.07 units
Explanation:
To find the distance between two points, we want to use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Plug in the given values of (4,1) and (9,6)
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
d = √[(9 - 4)² + (6 - 1)²]
Simplify the parentheses.
d = √[(5)² + (5)²]
Simplify the exponents.
d = √[25 + 25]
Add.
d = √[50]
Evaluate the radical.
5√2 or 7.07
Round the decimal.
5√2 or 7.07 units
Hope this helps!