Question

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

Answer 1

Answer:

$Distance = 10 \ u$

Step-by-step explanation:

Given :-

• Two points (5,1) and (-3,-5) .

And we need to find the distance between the two points . We can use distance formula here to find the distance between the two points . The distance formula for two points ,

• $( x_1,y_1)$
• $(x_2,y_2)$

Distance Formula :-

$\implies Distance =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

• Plug in the respective values ,

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

Hence the distance between the two points is 10 units .

Answer 2

Answer:

10

Step-by-step explanation:

distance formula = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}

(x_1, y_1) = (5, 1)

(x_2, y_2) = (-3, -5)

\sqrt{ [(-3) - (5)]^2 + [(-5) - (1)]^2 }

\sqrt{ [-8]^2 + [-6]^2 }

\sqrt{ 64 + 36 }

\sqrt{ 100 }

= 10