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 = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1} ) ^{2} }[/tex]
x₁ = 15
x₂ = -4
y₁ = 6
y₂ = 2
Insert the parameters and solve;
d = [tex]\sqrt{[(-4 -15)]^{2} + [(2 -6)]^{2} }[/tex]
d = [tex]\sqrt{(-19)^{2} + (-4)^{2} }[/tex]
d = [tex]\sqrt{361 + 16}[/tex]
d = [tex]\sqrt{377}[/tex]
d= 19.4units
