Approximate the distance between points (-3, 19), (-7, -5) to the nearest tenth.

Question

01-06-2018
Mathematics

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Approximate the distance between points (-3, 19), (-7, -5) to the nearest tenth.

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chrysanthemum chrysanthemum · Answer 1 · 2018-06-02T04:12:22+02:00

To calculate the distance between coordinates, use the Distance Formula.

The Distance Formula: √((x₁ - x₂)² + (y₁ - y₂)²)

Plug in the values accordingly and solve to determine distance.

(-3, 19), (-7, -5)

x₁ = -3
x₂ = -7
y₁ = 19
y₂ = -5

√((x₁ - x₂)² + (y₁ - y₂)²)
√((-3 - (-7))² + (19 - (-5))²)
√((-3 + 7)² + (19 + 5)²)
√((4)² + (24)²)
√(16 + 576)
√(592)
24.33

Answer:
The distance between the points (-3, 19) and (-7, -5) is approximately 24.3 units.