Question

THE DISTANCE BETWEEN THE POINTS (0, 5) AND (-5, 0) IS :
1 point
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Answer 1

Answer:

-4,-3,-2,-1,0,1,2,3,4 in number line

hope it's helps you

Answer 2

➤ Given:

• The distance between the points (0,5) and (-5,0)

➤To find :

•Distance between two points =?

➤Formula :

Distance Formula :

$\red\bigstar\boxed{\sf{\sqrt{(y_{2}-y_{1})^{2}+(x_{2}-x_{1})^{2}}}}$

➤Solution :

•Values :

$\bullet\rm{x_{1}=0}$

$\bullet\rm{x_{2}=5}$

$\bullet\rm{y_{1}=-5}$

$\bullet\rm{y_{2}=0}$

By using distance formula :

➾$\\ \sf{AB=\sqrt{(y_{2}-y_{1})^{2}+(x_{2}-x_{1})^{2}}}$

➾$\\ \sf{AB=\sqrt{(0-(-5)^{2}+(5-0)^{2}}}$

➾$\\ \sf{AB=\sqrt{(5)^{2}+(5)^{2}}}$

➾$\\ \sf{AB=\sqrt{25+25}}$

➾$\\ \sf{AB=5\sqrt{2}units}$

➾$\\ \boxed{\sf{Distance \: between \: points \:(AB) =5\sqrt{2}}}$

Additional information :

• If the points are in one line middle point divides internally in the ratio m:n we use section formula :

$\red\bigstar\rm{x=\dfrac{mx_{2}+nx_{1}}{m+n}} \: and \:\red\bigstar\rm{y=\dfrac{my_{2}+ny_{1}}{m+n}}$

• If we have to find middle point(P) of line AB we use midpoint formula :

$\red\bigstar\rm{x=\dfrac{x_{1}+x_{2}}{2}} \: and \: \:\red\bigstar\rm{y=\dfrac{y_{1}+y_{2}}{2}}$