Answer:
25
Step-by-step explanation:
Here we are supposed to find the distance between two coordinates ( 4,10) and (-3,-14).
Let us do this step by step with detailed explanation.
We will use distance formula in order to find the distance between them. The distance formula is given as
[tex]D=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }[/tex]
Here we have
[tex]x_{2}=-3\\x_{1}=4\\y_{2}=-14\\y_{1}=10\\[/tex]
Replacing them in the formula we get
[tex]D=\sqrt{(-3-4)^{2} +(-14-10)^{2} }\\D=\sqrt{(-7)^{2} +(-24)^{2} }\\D=\sqrt{49+ 576 }\\D=\sqrt{625 }\\D=25\\[/tex]
Hence our distance is 25 units
