Answer:
The Third option is correct 9 .
Therefore the distance between the points given. (-10, 3) and (-10, 12) is
9 units.
Step-by-step explanation:
Given:
Consider,
point A( x₁ , y₁) ≡ ( -2 ,-2 )
point B( x₂ , y₂) ≡ ( 4 , -10 )
To Find:
Distance between AB = ?
Solution:
Distance Formula between Two point is given as
[tex]l(AB) = \sqrt{((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} )}[/tex]
Substituting the values we get
[tex]l(AB) = \sqrt{((-10-(-10))^{2}+(12-3)^{2} )}[/tex]
[tex]l(AB) = \sqrt{((-10+10))^{2}+(9)^{2} )}[/tex]
[tex]l(AB) = \sqrt{(0)^{2}+81}\\l(AB)=\sqrt{81}=9\\l(AB)=9\ unit[/tex]
Therefore the distance between the points given. (-10, 3) and (-10, 12) is
9 units.
