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Mastering Distance Equations

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Questions and Answers

Which formula can be used to calculate the distance between two points in a two-dimensional plane?

Miles Per Hour Formula
Distance Formula (correct)
Distance Rate Time Formula
Total Distance Formula

In Example 3, Denise wants to know how far she would travel in 4 hours if she bikes at her current rate. What is her current rate?

2 miles per hour
6 miles per hour (correct)
8 miles per hour
4 miles per hour

In Example 4, Miseal wants to know how far he could travel on 5 gallons of gas. What is the gas mileage of the Toyota Prius?

10 miles per gallon
30 miles per gallon
20 miles per gallon
40 miles per gallon (correct)

How can you use the distance formula to find the rate of travel in miles per hour?

Divide the distance by the rate (A) Signup and view all the answers

How can you use the distance formula to find the time it will take to travel?

Divide the distance by the rate (C) Signup and view all the answers

Which of the following is a correct definition of distance?

The length between two points or objects (C) Signup and view all the answers

Which equation can be used to calculate distance using the rate and time?

$d = rt$ (D) Signup and view all the answers

Which equation can be used to calculate distance using the coordinate plane?

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ (D) Signup and view all the answers

What do the subscripts 1 and 2 represent in the distance equation for the coordinate plane?

The x value of the second coordinate and the y value of the first coordinate (A) Signup and view all the answers

What is a coordinate in the coordinate plane?

A location of a point represented by two numbers (D) Signup and view all the answers

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Study Notes

Distance Formula

The distance formula can be used to calculate the distance between two points in a two-dimensional plane.

Rate of Travel

To find the rate of travel in miles per hour, the distance formula can be used.
Denise's current rate can be found using the distance formula, given that she travels for 4 hours.

Gas Mileage

The gas mileage of the Toyota Prius is essential to know how far Miseal can travel on 5 gallons of gas.

Distance Calculation

The equation d = rt can be used to calculate distance using the rate and time.
The distance formula for the coordinate plane is d = √((x2 - x1)^2 + (y2 - y1)^2).

Subscripts in Distance Equation

The subscripts 1 and 2 in the distance equation for the coordinate plane represent the two points being measured.

Coordinate Plane

A coordinate in the coordinate plane is a point on the plane defined by its x and y values.

Definition of Distance

Distance is the amount of space between two points, and it can be calculated using the distance formula.

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