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]
3 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]3 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
(x^3+y^3)/(x-y)<br><br> please answer!
-Dominant- [34]

Answer:

x^4-x^3y+y^3x-y^4

Step-by-step explanation:

8 0
3 years ago
Find the equation in slope-intercept form of a line through (2, 4) with slope 0. Oy=2 Ox=2 Oy=4 0 x = 4​
alexdok [17]
X=5 because that’s the slope of the question
6 0
3 years ago
What is the y-intercept of the linear equation x-3y=-6?
IceJOKER [234]

To find the y-intercept, let x = 0.

0 - 3y = -6

-3y = -6

y = 2

The y-intercept of the equation is the point (0, 2).

7 0
3 years ago
Read 2 more answers
Can anyone help?
SVEN [57.7K]

For the equation (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, the value of k = 5/6.

Since the equation is (2k + 1)x² + 2x = 10x - 6, we collect subtract 10x from both sides and add 6 to both sides.

So, we have (2k + 1)x² + 2x - 10x + 6 = 10x - 6 - 10x + 6

(2k + 1)x² - 8x + 6 = 0

For the equation, (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, this new equation (2k + 1)x² - 8x + 6 = 0 must also have two real and equal roots.

For the equation to have two real and equal roots, its discriminant, D = 0.

D = b² - 4ac where b = -8, a = 2k + 1 and c = 6.

So, D =  b² - 4ac

D =  (-8)² - 4 × (2k + 1) × 6 = 0

64 - 24(2k + 1) = 0

Dividing through by 8, we have

8 - 3(2k + 1) = 0

Expanding the bracket, we have

8 - 6k - 3 = 0

Collecting like terms, we have

-6k + 5 = 0

Subtracting 5 from both sides, we have

-6k = -5

Dividing through by -6, we have

k = -5/-6

k = 5/6

So, for the equation (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, the value of k = 5/6.

Learn more about quadratic equations here:

brainly.com/question/18162688

4 0
2 years ago
What is the slope of a line that runs parallel to y= x + 14
MAXImum [283]

Answer:

m=1

Step-by-step explanation:

y= x + 14

This equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope for the line is 1

Parallel lines have the same slope

m=1

4 0
3 years ago
Other questions:
  • What is the 92nd term of the arithmetic sequence 11,19,27
    5·1 answer
  • Lines that appear tangent are tangent. What is the value of x?
    5·1 answer
  • Given: EDF=ABF<br> Name the postulate or theorem you can use to prove ADE=EBA.
    15·1 answer
  • Which elevation is higher than -14? <br> A. -2 feet<br> B. -35 feet
    10·2 answers
  • Dean has decided to read 25 pages of his new book each night. The book is 350 pages long. How many nights will it take Dean to r
    13·1 answer
  • What’s the answer to this question
    11·1 answer
  • To ride an amusement park ride, your height must be at or above the line on the sign. For each set of information, write an inte
    15·1 answer
  • On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, 3) and (3, 4).
    10·2 answers
  • .........................answer
    12·1 answer
  • A school bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s^2. How much time does it take to travel
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!