Question

I need a break down of how to resolve this question.

Answer 1

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SOLUTION

Let us obtain the coordinates of the point representing Jane's house;

`ie\text{ \lparen-5,-2\rparen}`

The coordinates of the friend's house is given as;

`ie\text{ \lparen3,-4\rparen}`

Now, the formula for calculating the distance between two points is given as;

`Distance=√((x_2-x_1)^2+(y_2-y_1)^2)`
`\begin{gathered} Distance=\text{ }√((3-(-5))^2+(-4-(-2))^2) \\ Distance=\text{ }√(8^2+(-2)^2)=√(64+4)\text{ =}√(68)=\text{ }√(4*17)\text{ =2}\sqrt{17\text{ }}units \end{gathered}`

THE DISTANCE BETWEEN THE HOUSES IS:

`2√(17)\text{ }units`