12.6 Distance Between Points

Front

What is the distance formula used to calculate the distance between two points (x1, y1) and (x2, y2)?

Back

Front

What is the distance between the points (5, 18) and (11, 25)? Round your answer to the nearest tenth.

Back

The distance is 9.2.

Front

What is the distance between the points (-11, -7) and (2, -14)? Round your answer to the nearest tenth.

Back

The distance is 14.8.

Front

Find the EXACT distance between the points (11, 15) and (24, 21) without a calculator.

Back

Front

Find the EXACT distance between the points (-3, 4) and (4, -4) without a calculator.

Back

Front

What is the distance between the points (-8.2, -6.4) and (-3.7, -4.8)? Round your answer to the nearest hundredth.

Back

The distance is 4.78.

Front

What does it mean to round a number to the nearest tenth?

Back

Rounding to the nearest tenth means adjusting the number to one decimal place, based on the value of the hundredths place.

Front

What is the significance of the square root in the distance formula?

Back

The square root is used to ensure that the distance is a non-negative value, as distance cannot be negative.

Front

How do you determine the coordinates of a point in a Cartesian plane?

Back

A point is determined by its x-coordinate (horizontal position) and y-coordinate (vertical position) in the format (x, y).

Front

What is the Pythagorean theorem and how does it relate to the distance formula?

Back