Question

find the distance between points p(4 6) and q(8 -2) brainly

Answer 1

Answer:

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Answer 2

The distance between the two points is 4√5 units

Given:

The points P(4, 6) and Q(8, -2)

To find:

The distance between points P and Q

Solution:

Formula:

The formula for distance between (x₁, y₁) and (x₂, y₂) is given by

Distance (d) = √[(x₂ - x₁)² + (y₂ - y₁)²]  

From the data,

P = (4, 6) and Q = (8, -2)  

Let P = (4, 6) = (x₁, y₁)  

Let Q = (8, -2) = (x₂, y₂)  

Using the formula,

Distance (d) = √[(8 - 4)² + (-2 - 6)²]  

= √[(4)² + (-8)²]    

= √[16 + 64]    

= √80

= √(16 ×5)

= 4√5

Hence,

The distance between the two points is 4√5 units

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