Answer:
√113
10.6301458127
10.63 (2 d.p)
Step-by-step explanation:
The distance formula is:
√[(x₂ - x₁)² + (y₂ - y₁)²]
x₂ = (-1)
x₁ = 6
y₂ = 8
y₁ = 16
Substitute those values into the equation:
√[(-1 - 6)² + (8 - 16)²]
Perform the arithmetic (the subtractions inside the brackets:
√[(-7)² + (-8)²]
Square the values:
√[49 + 64]
Add them
√[113]
Calculate the square root of the value:
√[113] = 10.6301458127
Whether you want the answer in one of these forms, it's up to you/your teacher:
√113
10.6301458127
10.63 (2 d.p)