1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marin [14]
3 years ago
9

A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G. What are the coordinates

of G?
Mathematics
1 answer:
I am Lyosha [343]3 years ago
4 0

Given:

A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G.

To find:

The coordinates of point G.

Solution:

Section formula: If a point divide a line segment with end points (x_1,y_1) and (x_2,y_2) in m:n, then the coordinates of that point are

Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)

Point G divide the line segment FH in 8:2. Using section formula, we get

G=\left(\dfrac{8(8)+2(-8)}{8+2},\dfrac{8(6)+2(-2)}{8+2}\right)

G=\left(\dfrac{64-16}{10},\dfrac{48-4}{10}\right)

G=\left(\dfrac{48}{10},\dfrac{44}{10}\right)

G=\left(4.8,4.4\right)

Therefore, the coordinates of point G are (4.8, 4.4).

You might be interested in
If you have 1 Pokeball and 2 pokemon heal balls and 3 pokemon Ultra balls. How many balls are there?
rusak2 [61]

Answer:

6

is the correct answer

<h2><em><u>Hope </u></em><em><u>it </u></em><em><u>helps</u></em><em><u> you</u></em><em><u><</u></em><em><u>3</u></em></h2>
5 0
2 years ago
Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z}. List the elements in the set. (
algol13

Answer:

its correct answer is

{y}

7 0
3 years ago
Given an angle, draw the opposite ray of one of its sides to form a linear pair. Find the measure of the angle formed by the ang
xz_007 [3.2K]
<span>Let opposite ray be drawn for the base side ray of the given angle. This gives angle 180° between these two rays. Angle bisectors of the given angles 50°, 90°, and 150° make respectively half of these angles : 25° , 45° and 75° with the base ray. Then measure of the angles between the bisectors of the given angles and the drawn opposite ray are 180°-25°=155°, 180°- 45° =135° and 180°- 75° = 105° respectively.</span>
5 0
3 years ago
Find the size of the final unknown interior angle in a polygon whose other interior angles are:
qaws [65]

Answer:

Step-by-step explanation:(2ñ-4)90

(7×2-4)90

=900°

900-(162+125+148+105+98+115)

900-753

=147°

3 0
3 years ago
List 3 observations from your data.<br> 1. <br> 2. <br> 3.
Nina [5.8K]

Answer:

Step-by-step explanation:

hearing, taste, touch,

5 0
3 years ago
Other questions:
  • What is the lcd of 1/3 and 3/7<br><br>Help rn​
    14·1 answer
  • The density of an object is the quotient of its mass and its volume
    11·1 answer
  • 8.81 as a mixed number
    8·2 answers
  • Do y'all understand this? please help me​
    7·1 answer
  • PLEASE HELP ASAP! QUICK MATH QUESTION!
    13·1 answer
  • What is 4- 1 1/4 + 1/2
    11·1 answer
  • Which is the other endpoint of a line segment with one endpoint at 1,3 and midpoint at 3,5
    11·1 answer
  • Please help me ASAP I’m kinda irritated I can’t find the answer
    11·1 answer
  • Miguel recently sold some farmland and bought a new plot that consists of 968 acres. Miguel calculates that this is 20% less acr
    13·1 answer
  • Asmaa paid 9.96 for 3 pairs of socks. Jagdeeep paid 14.75 for 5 pairs of socks. Which person got the better deal? Explain.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!