Log In Start studying!

Select your language

Suggested languages for you:

Americas

English (US)

Europe

Q28.

Expert-verified

Algebra 2

Found in: Page 415

Book edition Middle English Edition

Author(s) Carter

Pages 804 pages

ISBN 9780079039903

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later

Short Answer

Find the distance between the pair of points with the given coordinates $(0.23, 0.4) and (0.68, - 0.2)$ .

The distance between the given pair of points is $\frac{3}{4} units$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Write down the given information.

The given pair of points have coordinates $(0.23, 0.4) and (0.68, - 0.2)$ .

Step 2. Concept used.

If a line segment has end-points at $(x_{1}, y_{1}) and (x_{2}, y_{2})$ then the distance $(d)$ between these points is given as:

$|d| = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}} . . . . (1)$

Step 3. Calculation.

The distance $(d)$ between the pair of points with given coordinates $(0.23, 0.4) and (0.68, - 0.2)$ is evaluated using the formula (1) stated above.

\begin{matrix} |d| = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}} \\ = \sqrt{{(0.68 - 0.23)}^{2} + {(- 0.2 - 0.4)}^{2}} \\ = \frac{3}{4} units \end{matrix}

Step 4. Conclusion.

The distance between the given pair of points is $\frac{3}{4} units$ .

Most popular questions for Math Textbooks

Write an equation for each parabola described below. Then draw the graph.

vertex (-7, 4), axis of symmetry x = - 7, measure of latus rectum 6, a < 0.

Identify the coordinates of the vertex and focus, the equations of the axis of symmetry and directrix, and the direction of opening of the parabola with the given equation $4 (x - 2) = {(y + 3)}^{2}$ . Then find the length of latus rectum and graph the parabola.

The quadrilateral RSTV has vertices $R (- 4, 6), S (4, 5), T (6, 3) and V (5, - 8)$ . Find the perimeter of quadrilateral.

Find the midpoint of line segment with endpoints at given coordinates $(5, 9) and (12, 18)$ .

A circle has a radius with endpoints at $(2, 5)$ and $(- 1, - 4)$ . Find the circumference and area of the circle.

Want to see more solutions like these?

Sign up for free to discover our expert answers

Get Started - It’s free

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free