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).

Tags

CCSS.HSG.GPE.B.7

Front

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

Back

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

Tags

CCSS.HSG.GPE.B.7

Front

What is the significance of rounding in distance calculations?

Back

Rounding is important to provide a concise and practical answer, especially in real-world applications where exact values may not be necessary.

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CCSS.5.NBT.A.4

Front

If the distance between two points is 11.66, what is the distance rounded to the nearest whole number?

Back

12.

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CCSS.5.NBT.A.4

Front

What units are commonly used when measuring distance?

Back

Common units include meters (m), kilometers (km), miles, and feet.

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CCSS.2.MD.A.2

Front

How do you label distance in kilometers?

Back

When expressing distance in kilometers, you can label it as 'km' or 'kilometers' after the numerical value.

Tags

CCSS.2.MD.A.2

Front

What is the distance between the points (1, 2) and (4, 6)?

Back

Using the Distance Formula: d = √((4 - 1)² + (6 - 2)²) = √(9 + 16) = √25 = 5.

Tags

CCSS.HSG.GPE.B.7

Front

What is the distance between the points (0, 0) and (3, 4)?

Back

Using the Distance Formula: d = √((3 - 0)² + (4 - 0)²) = √(9 + 16) = √25 = 5.

Tags

CCSS.HSG.GPE.B.7

Front

How do you find the distance between two points on a graph?

Back

Plot the points on the graph, then use the Distance Formula to calculate the distance between them.

Tags

CCSS.HSG.GPE.B.7

Front

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

Back

Using the Distance Formula: d = √((2 - (-2))² + (1 - (-3))²) = √(16 + 16) = √32 = 4√2 or approximately 5.66.

Tags

CCSS.HSG.GPE.B.7