Distance Formula

Front

What is the Distance Formula?

Back

The Distance Formula is used to determine the distance between two points in a coordinate plane. It is given by the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

How do you calculate the distance between points (3, 4) and (7, 1)?

Back

Using the Distance Formula: d = √((7 - 3)² + (1 - 4)²) = √(16 + 9) = √25 = 5.

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What does 'round to the nearest hundredth' mean?

Back

Rounding to the nearest hundredth means adjusting a number to two decimal places. For example, 7.216 rounded to the nearest hundredth is 7.22.

Front

If the coordinates of two points are (2, 3) and (5, 7), what is the distance between them?

Back

Using the Distance Formula: d = √((5 - 2)² + (7 - 3)²) = √(9 + 16) = √25 = 5.

Front

What is the significance of labeling distance in kilometers?

Back

Labeling distance in kilometers provides clarity on the unit of measurement, ensuring that the distance is understood in the context of geographic or spatial measurements.

Front

How do you find the distance between points (0, 0) and (x, y)?

Back

Using the Distance Formula: d = √((x - 0)² + (y - 0)²) = √(x² + y²).

Front

What is the distance between the points (-1, -1) and (2, 3)?

Back

Using the Distance Formula: d = √((2 - (-1))² + (3 - (-1))²) = √(9 + 16) = √25 = 5.

Front

What is the distance between the points (4, 5) and (4, 1)?

Back

Using the Distance Formula: d = √((4 - 4)² + (1 - 5)²) = √(0 + 16) = √16 = 4.

Front

How do you interpret the result of the Distance Formula?

Back

The result of the Distance Formula represents the straight-line distance between two points in a coordinate plane.

Front

What is the distance between the points (1, 2) and (1, 5)?

Back

Using the Distance Formula: d = √((1 - 1)² + (5 - 2)²) = √(0 + 9) = √9 = 3.