Question

What is the distance between the following points ?

Answer 1

Answer:

$\sqrt{97}$

Step-by-step explanation:

9^2 + 4^2 = X^2

81+16 = x^2

x^2 = 97

x = $\sqrt{97}$

Answer 2

Answer:

$\sqrt{17}$

Step-by-step explanation:

The distance formula between two points is $\sqrt{(x_{2} - x_{1})^{2} +(y_{2}-y_{1})^2 }$.

The points given are (2,4) and (6,-5). Now we substitute values for x₂, x₁, y₂, and y₁. (Remember: x₂ is the x-value of the second point, and x₁ is the x-value for the first point, and so on.)

Once substituted, we get: $\sqrt{(6-2)^2+(-5+4)^2}$.

1.) $\sqrt{(4)^2+(-1)^2}$

2.)$\sqrt{16+1}$

3.)$\sqrt{17}$

**4.) 4.123

**Optional step