jay01882
Answered

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Segment AB has endpoints at A(-14, 12) and B(10, – 4). Point C lies on AB at C(-5,6). Which of the following
represents the ratio of AC to BC?

Sagot :

abidemiokin

The ratio of the length AC to BC is 11:18

Distance between two points

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]

For the length AC
[tex]AC = \sqrt{(-9)^2+(6)^2} \\AC = \sqrt{(-14+5)^2+(12-6)^2} \\AC = \sqrt{81+36} \\AC\approx 11[/tex]

For the length of BC
[tex]BC = \sqrt{(15)^2+(10)^2} \\BC = \sqrt{225+100} \\BC\approx 18[/tex]

Hence the ratio of the length AC to BC is 11:18

Learn more on midpoint here: https://brainly.com/question/5566419

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