Question

What is the distance between the points D(15,6) and E (-4, 2)? Round to

Answer 1

Answer:

19.4units

Step-by-step explanation:

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Answer 2

Answer:

d= 19.4units

Step-by-step explanation:

Given coordinates:

     D(15,6) and E (-4, 2);

Unknown:

Distance between the two points  = ?

Solution:

To solve this problem, the distance between two points can be found using the expression below:

   d = $\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1} ) ^{2} }$

x₁ = 15

x₂ = -4

y₁ = 6

y₂ = 2

 Insert the parameters and solve;

    d = $\sqrt{[(-4 -15)]^{2} + [(2 -6)]^{2} }$

    d  = $\sqrt{(-19)^{2} + (-4)^{2} }$

    d = $\sqrt{361 + 16}$  

    d = $\sqrt{377}$

    d= 19.4units