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Mastering Distance Equations
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Mastering Distance Equations

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@AccomplishedBixbite

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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?

    <p>Divide the distance by the rate</p> Signup and view all the answers

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

    <p>Divide the distance by the rate</p> Signup and view all the answers

    Which of the following is a correct definition of distance?

    <p>The length between two points or objects</p> Signup and view all the answers

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

    <p>$d = rt$</p> Signup and view all the answers

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

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

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

    <p>The x value of the second coordinate and the y value of the first coordinate</p> Signup and view all the answers

    What is a coordinate in the coordinate plane?

    <p>A location of a point represented by two numbers</p> Signup and view all the answers

    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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    Quiz Team

    Description

    Test your knowledge on distance equations and learn how to calculate the distance between two points or objects. This quiz will cover various scenarios where distance calculations are necessary, such as determining travel distances or paint requirements. Expand your understanding of distance measurements and improve your problem-solving skills.

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