Question

$\mathfrak{\huge{\blue{question}}}$(-5,-7),(-1,-3)distance between the pairs
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Answer 1

Answer:

Required distance between the given pairs is √32 units which is also equal to 4√2 units.

Step-by-step-explanation:

From the identities of coordinate geometry.

• Distance between two points = √{( a - x )^2 + ( b - y )^2 }, where we have to find the distance between points ( a , b ) and ( x , y ).

The above given formula is also known as distance formula.

Here, the given points are ( - 5 , - 7 ) and ( - 1, - 3 ). Thus :

Applying distance formula :

= > Distance between the given points = $\sqrt{[-5-(-1)]^2 + [-7-(-3)]^2}$

= > Distance between the given points = $\sqrt{(-5+1)^2 +(-7+3)^2}$

= > Distance between the given points = $\sqrt{(-4)^2+(-4)^2}$

= > Distance between the given points = $\sqrt{16+16}$

Hence the required distance between the given pairs is √32 units which is also equal to 4√2 units.