Question

mathswatch help? anyone

Answer 1

Answer:

10.6

Step-by-step explanation:

The shortest distance between two points will be a straight line.

To calculate the straight line distance between two points, use the formula $L = \sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1} )^{2}}$

Choose which point will be data set 1 and data set 2.

Data set 1: P(3, -1)      x₁ = 3     y₁ = -1

Data set 2: Q(-5, 6)    x₂ = -5   y₂ = 6

Substitute the values into the formula

$L = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

$PQ = \sqrt{(-5 - 3)^{2}+(6 - (-1))^{2}}$    Solve inside brackets first

$PQ = \sqrt{(-8)^{2}+(7)^{2}}$    Square each number

$PQ = \sqrt{64  +  49}$    Add

$PQ = \sqrt{113}$    Exact answer in radical (root) form

$PQ = 10.630....$   Exact decimal answer

$PQ = 10.6$   Rounded down to one decimal place

The shortest distance between point P and point Q is 10.6