Question

Given D(-3, 4) and E(-7,-6), First, tell me what "DE" means, and then find DE, and round to the

nearest tenth.

Answer 1

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First I wanna tell u , DE means a straight line between the two points of D and E ;

Thus we want to find the distance between D & E .

We have following equation to find :

`DE = \sqrt{ ({y(D) - y(E)})^(2) + ({x(D) - x(E)})^(2) } \\`

Now just need to put the coordinates in the above equation.

Let's do it....

`DE = \sqrt{ ({4 - ( - 6)})^(2) + ({ - 3 - ( - 7)})^(2) } \\`

`DE = \sqrt{ ({4 + 6})^(2) + ({ - 3 + 7})^(2) } \\`

`DE = \sqrt{ {10}^(2) + {4}^(2) } \\`

`DE = √(100 + 16)`

`DE = √(116)`

`DE = 10.77`

`DE = 10.8`

Done...

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