Geometry

Good morning. I have a Geometry math problem that I need if someone can please check on to make sure I am doing the problem correct and to please check my answer.
#7
Given segment DF with D(-1, 11) and F(-9 , -5), if E partitions DF such that the ratio of DE to DF is 5:8, find the coordinates of E.
-1 + 5/8 (-9 - -1)
-1 + 5/8 (-8)
-1 + -40/8
-1 + -5= -6
X= -6

11 + 5/8 ( -5 - 11)
11 + 5/8 ( -16)
11 + -80/8
11 + -10 = 1
Y=1

E= (-6, 1)
Is this correct?

  1. 👍 0
  2. 👎 0
  3. 👁 80
  1. You could have checked using the distance formula
    If E is (-6,-1)
    then DE = √(25 + 144) = 13
    EF = √(9 + 16) = 5
    Ratio of 13:5 ≠ 5:8

    I do these in the following way:
    Make a sketch, let your point E be (x,y)
    then for the x:
    (x- (-1))/(-9 - x) = 5/8
    8x + 8 = -45 - 5x
    13x = -53
    x = -53/13

    for the y:
    (y-11)/(-5-y) = 5/8
    8y - 88 = -25 - 5y
    13y = 65
    y = 5

    1. 👍 0
    2. 👎 0
    👨‍🏫
    Reiny
  2. Hello Reiny. Are you saying I got my answer wrong or right? What you did above is that just the distance formula?

    1. 👍 0
    2. 👎 0
  3. Hello Reiny,
    I think I see the mistake I made is with the ratio.
    5:8
    5/5 + 8=5/13
    I should have used the fraction of 5/13
    My answer now is as follows:
    X=-53/13 or -4 1/13
    Y=63/13 = 4 11/13

    Should I change the fractions into mixed fractions when I get -53/13? or when I get 63/13?
    How can you possibly graph those fractions on a graph if you had to?

    Thank you

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Walquist

    Geometry question. a Math riddle. What does a cat need to play baseball?

  2. math

    Lesson 13: Geometry Unit Test Math 7 B Unit 1: Geometry help It is a unit test and I don't know what to do if you could help me out...……………? David drew a triangle PQR as shown. If angle QPR measures 135 degrees, which

  3. I need an answer--molecular/electron geometry

    Can anyone help me out with the differences between electron geometry and molecular geometry for SCl6? I think the molecular geometry is octahedral, but I'm not so sure for the electron geometry. Thanks :) *My earlier post wasn't

  4. math

    Lesson 13: Geometry Unit Test Essential Math 7 B Unit 1: Geometry plz all answers i need it im not lying my grandpa has cancer stage 4 terminal i need them so i can go up to maryland and say goodbye please

  1. geometry

    find the values of angles X, Y, and Z. x=91; y= 51;z=31 x=89; y=91; z=0 x=60; y=120; z=31 please HELP!!! math 7 B unit 1 geometry test!!!! anyone from Connections Academy 7th grade please help me

  2. How to get quick responses to your math questions

    Math is a wide subject, ranging from K to 11, college and university. Then there is algebra, trigonometry, geometry, arithmetic, calculus, number theory, ... etc. Not all teachers answer all math questions (many do). If you would

  3. Math

    Lesson 13: Geometry and Measurement Unit Test Math 6 B Unit 3: Geometry and Measurement never mind i will not get all the answers

  4. Math

    I need help with my math homework.I searched for homework help forums and I found the Jiskha Website on the Google Website so this is my first time.I am new. Math Homework: What is the value of number 3 in 2,539? What is the value

  1. Math 6th grade

    Does any one know a really good websites for 6th grade math ? I'm behind in math and need to catch up or else I'll be really super dum . I need HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

  2. Math please help !!!!!!!!

    1. similar polygons are .... different shapes. 1.always 2.sometimes 3.never 2. how many lines of symmetry could an isosceles trapezoid have? 1. 0 2. 1 3. 2 4. 3 I'm from connexus and I'm taking the tools of geometry math test .

  3. Trigonometry/Geometry - Inequalities

    Let a, b, and c be positive real numbers. Prove that sqrt(a^2 - ab + b^2) + sqrt(a^2 - ac + c^2) is greater or equal to sqrt(b^2 + bc + c^2). Under what conditions does equality occur? That is, for what values of a, b, and c are

  4. Algebra

    Find the 20th term of the following sequence. -6, -4, -2, 0, ... 32 44 46 I did the math but I don't know if it's correct, I'm not very good in math.

You can view more similar questions or ask a new question.