Question

Find the distance between the points given. (0, 5) and (-5, 0) 5 5√2 10

Answer 1

Answer:

5√2

Step-by-step explanation:

The question is on geometry

The formula for distance between two points is;

$d= \sqrt{(X2-X1)^2 + (Y2-Y1)^2}$

where d is distance.

Given points;

(0,5)    and   (-5,0) ;

X1=0 ,X2= -5 , Y1= 5, Y2= 0

X2-X1 = -5 - 0= -5

Y2-Y1= 0-5= -5

$d= \sqrt{(-5)^2 + (-5)^2}$

$d=\sqrt{25+25}$

$d=\sqrt{50}$

$d=\sqrt{2*25} =\sqrt{2} *\sqrt{25} =\sqrt{2} *5\\\\\\\\d=5\sqrt{2}$

Answer 2

Answer:

$d=5\sqrt{2}$

Step-by-step explanation:

Given : (0, 5) and (-5, 0)

To Find : Distance between the given points

Solution:

We will use distance formula :

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

$(x_1,y_1)=(0,5)$

$(x_2,y_2)=(-5,0)$

Substitute the values in the formula .

$d=\sqrt{(-5-0)^2+(0-5)^2}$

$d=\sqrt{(-5)^2+(-5)^2}$

$d=\sqrt{25+25}$

$d=\sqrt{50}$

$d=5\sqrt{2}$

Hence the distance between the given points is 5√2 units