The distance between points M(6,16) and Z(-1,14) to the nearest tenth is 5.4 units.
The formula for calculating the distance between two points is expressed as:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\[/tex]
Given the coordinates M(6,16) and Z(-1,14)
Substitute the given coordinates into the formula
[tex]D = \sqrt{(-1-6)^2+(14-16)^2} \\D =\sqrt{(-5)^2+(-2)^2}\\D=\sqrt{25+4}\\D=\sqrt{29}\\D = 5.38\\D \approx 5.4 units[/tex]
Hence the distance between points M(6,16) and Z(-1,14) to the nearest tenth is 5.4 units.
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