Question

What is the distance between the points (5, 1) and (-3, -5)?

2 √5
2 √10
10
4 √5

Answer 1

the answer is 10. just use the distance formula which is the square root of (x2-x1)^2+(y2-y1)^2

Answer 2

Answer: 10 units

Step-by-step explanation:

The distance  from point (a,b) and (c,d) is given by formula below:-

$D=\sqrt{(c-a)^2+(d-b)^2}$

Therefore, the distance between the points (5, 1) and (-3, -5) will be :

$D=\sqrt{(-3-5)^2+(-5-1)^2}\\\\\Rightarrow\ D=\sqrt{(-8)^2+(-6)^2}\\\\\Rightarrow\ D=\sqrt{64+36}\\\\\Rightarrow\ D\sqrt{100}\\\\\Rightarrow\ D=10\text{ units}$

Hence, the distance between the points (5, 1) and (-3, -5) = 10 units