Question

Use the distance formula to find the distance between (1 3) and (-2 9) rounded to the nearest hundredth

Answer 1

Answer:

D = 6.71

Step-by-step explanation:

The distance formula is $D = \sqrt {(x_{2} -x_{1})^{2} +(y_{2} -y_{1})^{2} }$

Decide which point will be Point 1 and Point 2.

Point 1: ( 1,3 )          x₁ = 1     y₁ = 3

Point 2: (-2, 9)       x₂ = -2   y₂ = 9

Substitute the information into the formula.

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

$D = \sqrt {(-2 -1)^{2} +(9 -3)^{2} }$    Simplify within the brackets

$D = \sqrt {(-3)^{2} +(6)^{2} }$   Square each number

$D = \sqrt {9 +36 }$     Add

$D = \sqrt {45 }$   Exact answer as a radical (root number)

$D = 6.708....$    Answer in decimals

$D = 6.71$   Rounded answer to nearest hundredth

The nearest hundredth is the second place value. It rounds up because the value after it is "8", which is greater than 4.