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....

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

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

$DE = \sqrt{ {10}^{2} + {4}^{2} }$

$DE = \sqrt{100 + 16}$

$DE = \sqrt{116}$

$DE = 10.77$

$DE = 10.8$

Done...

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