/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q44. PointD5,-1聽is the midpoint of s... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Q44. (page 416)

PointD5,-1is the midpoint of segment CE炉. If point Chas coordinates 3,2then what are the coordinates of point E.

A8,1B7,-4C2,-3D4,12

Short Answer

Expert verified

The coordinates of point E is7,-4. So, option (B) is correct.

Step by step solution

01

Step 1. Write down the given information.

The given segment CE炉has midpoint D5,-1 and the point C has coordinates 3,23,2.

02

Step 2. Concept used.

If a line segment has end-points atx1,y1andx2,y2 then the midpoint of the segment has coordinates x1+x22,y1+y22.

03

Step 3. Calculation.

The coordinates of point E say h,kcan be evaluated by using the midpoint formula.

MidpointofCE炉=x1+x22,y1+y225,鈭�1=3+h2,2+k25=3+h2,鈭�1=2+k2h+3=10,k+2=鈭�2h=7,k=鈭�4

Since the point isE7,-4. So, option (B) is correct.

04

Step 4. Conclusion.

The coordinates of point E is 7,-4. So, option (B) is correct.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

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 y=x2-12x+20. Then find the length of latus rectum and graph the parabola.

Write an equation for the parabola having vertex 8,6 and focus 2,6. Then draw the graph.

WOODWORKING A stage crew is making the set for a children鈥檚 play. They want to make some gingerbread shapes out of some leftover squares of wood with sides measuring 1 foot. They can make taller shapes by cutting them out of the wood diagonally. To the nearest inch, how tall is the gingerbread shape in the drawing at the right?

Use the equation x=3y2+4y+1 to find the coordinates of the vertex.

Circle Q has diameter AB炉. If Ais at point localid="1648631574175" -3,5and center is at2,3 . Find the coordinates of point B.
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Pure Maths

Read Explanation

Geometry

Read Explanation

Logic and Functions

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.