• Find the distance between the points (1,7) and (-4,2)
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Answer:
The distance between (1 , 7) and (-4, 2) = 5√2 units
Step-by-step explanation:
We have to find the distance between (1 , 7) and (-4, 2)
The distance between two points is calculated by using distance formula,
√(x₂ - x₁)² + (y₂ - y₁)²
Here,
x₁ = 1, x₂ = -4, y₁ = 7, and y₂ = 2
Distance = √(x₂ - x₁)² + (y₂ - y₁)²
= √(-4 - 1)² + (2 - 7)²
= √(-5)² + (-5)²
= √25 + 25 = √50
= 5√2 units
∴ The distance between (1 , 7) and (-4, 2) = 5√2 units
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