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
Ierofanga [76]
4 years ago
9

Point F is at (0, -10) and point H is at (-6, 5). Find the coordinates of point G on line segment FH such that the ratio of FG t

o GH is 2 : 1
Mathematics
1 answer:
Tanya [424]4 years ago
5 0

Answer:

G(x,y)=(-4,0)

Step-by-step explanation:

We use the section formula:

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

Given:

F(x_1,y_1)=(0, -10)\\H(x_2,y_2)=(-6, 5)\\FG:GH=m:n=2:1

We substitute the values to get:

G(x,y)=\left(\dfrac{2*-6+1*0}{2+1}, \dfrac{2*5+1*-10}{2+1}\right)\\=\left(\dfrac{-12}{3}, \dfrac{10-10}{3}\right)\\=\left(\dfrac{-12}{3}, \dfrac{0}{3}\right)\\\\G(x,y)=(-4,0)

You might be interested in
In the formula, P3 = Div / R - g, the dividend is for period:
Ksenya-84 [330]
If your choices are the following:
A. OneB. TwoC. ThreeD. FourE. Five

Then the answer would be letter D. Four.
7 0
3 years ago
Find the slope of the line. Write your answer in simplest form.
Goshia [24]
Slope: (y2-y1)/(x2-x1)
Points given: (-4,1) and (1,-2)
(-2-1)/(1+4) = -3/5
Answer: the slope is -3/5
6 0
3 years ago
Help <br> Help<br> Help<br> Help<br> Help
Vera_Pavlovna [14]

Answer:

-1

Step-by-step explanation:

f of 3 is the same thing of f of x which is y. The questions is saying if x is equal to 3, then what is y. x is represented by domain and y is represented by range. If you find x which is 3 in the domain, then the arrow points to negative 1 in the range circle.

7 0
3 years ago
At East Middle School, there are 58 left-handed students and 609 right-handed students. The numbers of left- and right-handed st
EastWind [94]

<u>Answer:</u>

C. Left-handed: 48, Right-handed: 504

D. Left-handed: 30, Right-handed: 315

<u>Step-by-step explanation:</u>

We are given that there are 58 left-handed students and 609 right-handed students at East Middle School and these numbers of students are proportional to the number of left and right handed students at East Middle School.

Given the above information, we are are to determine which two options could be the the numbers of left-handed and right-handed students at West Junior High.

Ratio of right handed to left handed students at East Middle School = \frac{609}{58} = 10.5

Checking for ratios of the given options:

A. \frac{483}{42} =11.5

B. \frac{378}{28} =13.5

C. \frac{504}{48} =10.5

D. \frac{560}{56} =10

E. \frac{315}{30} =10.5

Therefore, the possible numbers of left-handed and right-handed students at West Junior High could be C. Left-handed: 48, Right-handed: 504 and D. Left-handed: 30, Right-handed: 315.

7 0
3 years ago
Read 2 more answers
In a cirde, what does the ratio A/^2 represent?
inna [77]

Answer:

D.pi

Step-by-step explanation:

Because it’s pi

4 0
3 years ago
Other questions:
  • Dr. Ibanez recorded the amount of snowfall, in centimeters, at 10 different locations during 1 day and then arranged the amounts
    15·2 answers
  • The temperature on a particular day started at –13°F. It rose steadily by 3° each hour. The function y = –13 + 3x models the tem
    15·1 answer
  • Given the function f(x)=6 (4x-6)+18, determine t e value of x such that f(x)=6
    9·2 answers
  • Create a table to find the third differences for the polynomial s^3 − s^2 +s for integer values of ss from −3 to 3.
    12·1 answer
  • To mix mortar to lay bricks,you need 2.5Kg of cement,4kg of sand and 3 liters of water.Sand is sold in 10kg bags.How much cement
    10·1 answer
  • Find the cross product (7,9,6) x (-4,1,5). Is the resulting vector perpendicular to the given vectors
    15·1 answer
  • Add Each pair of expressions<br> (4x-7) and (7-4x)<br> Answer ASAP
    10·2 answers
  • Help plzzzzzzzzzzzzz​
    15·2 answers
  • State the property.<br> power property of exponents.
    14·1 answer
  • What are linear equations​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!