Question

Find the distance between the points

(−5,2) and (9.2)


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Answer 1

Answer:

Distance b/w the given points is 14

Step-by-step explanation:

D = √(x2-x1)²+(y2-y1)²

= √(9+5)²+(2-2)²

= √14²+0

= 14

Answer 2

Answer:

The distance between the given points is 14 units.

Step-by-step-explanation:

Let the given points be A and B.

• A ≡ ( - 5, 2 ) ≡ ( x₁, y₁ )
• B ≡ ( 9, 2 ) ≡ ( x₂, y₂ )

We have to find the distance between the given points.

By distance formula,

d ( A, B ) = √[ ( x₁ - x₂ )² + ( y₁ - y₂ )² ]

⇒ d ( A, B ) = √[ ( - 5 - 9 )² + ( 2 - 2 )² ]

⇒ d ( A, B ) = √[ ( - 14 )² + ( 0 )² ]

⇒ d ( A, B ) = √( 196 + 0 )

⇒ d ( A, B ) = √196

⇒ d ( A, B ) = √( 14 * 14 )

⇒ d ( A, B ) = 14 units

∴ The distance between the given points is 14 units.