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anonymous
 one year ago
Find all y such that the distance between the points (6, 9) and (4, y) is 28.
anonymous
 one year ago
Find all y such that the distance between the points (6, 9) and (4, y) is 28.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Label your points (x1, y1) and (x2, y2). The distance between two points is \[d = \sqrt{\left( x_2x_1 \right)^2 + (y_2y_1)^2}\]

jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.1\(\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({\color{red}{ 6}}\quad ,&{\color{blue}{ 9}})\quad % (c,d) &({\color{red}{ 4}}\quad ,&{\color{blue}{ y_2}}) \end{array}\qquad % distance value d = \sqrt{({\color{red}{ x_2}}{\color{red}{ x_1}})^2 + ({\color{blue}{ y_2}}{\color{blue}{ y_1}})^2} \\ \quad \\ 28 = \sqrt{({\color{red}{ 4}}{\color{red}{(6) }})^2 + ({\color{blue}{ y_2}}{\color{blue}{ (9)}})^2}\impliedby solve\ for\ {\color{blue}{ y_2}}\)
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