What is the distance of the point (-2, -3) from the origin
Answers
Answer:
GIVEN :
The distance of the point (-2, -2) from the origin (0,0) :
TO FIND :
The distance of the point (-2, -2) from the origin (0,0).
SOLUTION :
Given that the two points are (-2,-2) from the origin.
ie., The points are (-2,-2) and (0,0)
Let (x_1,y_1)(x
1
,y
1
) and (x_2,y_2)(x
2
,y
2
) be the given points (-2,-2) and (0,0) respectively.
The formula for distance between the given two points is :
s=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}s=
(x
2
−x
1
)
2
+(y
2
−y
1
)
2
units
Substituting the values in the distance formula we get,
s=\sqrt{(0-(-2))^2+(0-(-2))^2}s=
(0−(−2))
2
+(0−(−2))
2
units
=\sqrt{(0+2)^2+(0+2)^2}=
(0+2)
2
+(0+2)
2
units
=\sqrt{2^2+2^2}=
2
2
+2
2
\sqrt[4+4} =\sqrt{4+4}=
4+4
=\sqrt{8}=
8
s=2\sqrt{2}s=2
2
units
⇒ s=\sqrt{8}s=
8
units or s=2\sqrt{2}s=2
2
units
∴ the distance between the point (-2,-2) from the origin (0,0) is s=\sqrt{8}s=
8
units or s=2\sqrt{2}s=2
2
units
Explanation:
-2-2
Answer - 5
Distance of Point origin for ( -2 , -3 ) = 5