Mathematics: Step by step , ill give brainliest to the right person find the distance between points m ( 6 , 16 ) and z ( − 1 , 14 ) to the nearest tenth

free points Step-by-step explanation:ez...

Step by step , ill give brainliest to the right

lankfordcrystal81

18.06.2020

MZ = 7.3

Step-by-step explanation:

Use the equation for the distance between two points. $L = \sqrt{ (x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }$

Choose which point to be data set 1 or data set 2.

Data set 1: M ( 6 , 16 ) x₁ = 6 y₁ = 16

Data set 2: Z ( − 1 , 14 ) x₂ = -1 y₂ = 14

Substitute the information into the formula.

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

$MZ = \sqrt{ (-1 - 6)^{2} + (14 - 16)^{2} }$ Solve inside each bracket

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

$MZ = \sqrt{ 49 + 4 }$ Add

$MZ = \sqrt{53}$ Exact answer in radical (root) form

MZ = 7.280....... Exact answer in decimals

MZ = 7.3 Answer rounded to nearest tenth

The nearest tenth is the first decimal place.

When rounding, use the decimal place after the place you want to round to. If the place after is 5 or greater, round up. If less than 5, round down.

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