given FH with coordinates F(4,-5) and H(-8,19), if G lies on FH such that that the ratio of FG to FH is 1:6, find the coordinates of G

Answers

Answer 1

Answer:

  G = (2, -1)

Step-by-step explanation:

You want ...

  FG/FH = 1/6 = (G -F)/(H -F)

  H -F = 6(G -F)

  H +5F = 6G . . . . . . add 6F, simplify

  G = (H +5F)/6 . . . . .divide by 6

Substituting the given coordinates, we get ...

  G = ((-8, 19) +5(4, -5))/6 = (-8+20, 19 -25)/6 = (12, -6)/6

  G = (2, -1)


Related Questions

HELP PLEASE. Solve. 6(x+20)=168

Answers

Answer:

x=8

Step-by-step explanation:

6(x+20)=168

Divide each side by 6

6/6(x+20)=168/6

x+20 =28

Subtract 20 from each side

x+20-20 = 28-20

x =8

Answer: x=8

Step-by-step explanation: 168/6=28. x+20=28. 8+20=28.

6(8+20)=168

Which of the following can not be used to express the number -6?

negative six
six below zero
six less than zero
six above zero

Answers

Answer: six above zero

explanation: six is negative meaning it can’t be above zero

Joseph built a model of a pyramid where the base of the pyramid is a square. If the base has an area of 49 cm2 (squared), what is the side length of the base?

Answers

Answer:

7 cm

Step-by-step explanation:

We are told that the pyramid has a square base of an area of 49 cm².

Therefore, the side length of the base of the pyramid is still the same as the side length of a square having an area of 49 cm².

Area of a square = s², where s is the side length of the square.

The side length of the base can be gotten using the following equation,

[tex] s^2 = 49 [/tex]

Solve for s by looking for the share root of both sides.

[tex] \sqrt{s^2} = \sqrt{49} [/tex]

[tex] s = 7 [/tex]

The side length of the base = 7 cm

Simplify this expression.

20x - 8 - 15x - 10

[?]x + [?]

Enter the numbers that go in the box.​

Answers

Answer:

5x-18

Step-by-step explanation:

Answer:

3x+2y=4

Step-by-step explanation:

bro it says wait till 20 sec to send this brruuhhhhh


If x = -12, y = -3; find xy?

Answers

Given that :-

x = -12 y = -3

To Find :-

Value of xy

Solution :-

When a negative digit is multiplied with negative digit then the result comes as positive digit .

→ x × y = (-12)(-3)

→ x.y = 36

So the answer is 36.

Answer:

36

Step-by-step explanation:

To find xy, multiply x and y

(-12)(-3) = 36

xy = 36


how to do splitting method of x square- 2x -8​

Answers

Answer:

x^2+2x+1=0

x^2+(1+1)X+1=0

x^2+X+X+1=0

X(X+1)+1(X+1)=0

(X+1)(X+1)=0

X=-1,X=-1

hope it helps :)

please mark it the brainliest!

Answer:

Hey mate

kindly see attached picture:)

hope it helped you ☺️

Solve for 20 points, 5stars and brainliest

Answers

Hey there!

Functions are basically like machines you put a number into and they give you a new one as an output. This f represents this machine. f(x) represents whatever the output is because it is the x after it has gone through the function machine.

We want to figure out what x is when f(x)=12. Well, we can simply replace f(x) with 12 in the first equation and solve for x!

12=-16x+8

We flip the equation so x is on the left side.

-16x+8=12

We subtract 8 from both sides.

-16x=4

We divide both sides by -16.

x=-1/4

Have a wonderful day! :D

Answer:

f(x) = -16x + 8

F(x) = 12

=> f(12) = -16x + 8

=> 12-8 = -16x + 8 - 8

=> 4 = 16x

=> 4/16 = 16x/16

=> 1/4 = x

So, the answer is 1/4.

You can just keep 0 as the whole number to answer this question.

Olivia is tracking the growth rate of a population of termites, x, living in a mound. When the population is x = 400, it is the 0th hour. Initially, it takes f(x) = 1 hour for the population to grow by 400 termites. When the population grows by another 400 termites, the total time taken is f(x) = 1.585 hours. The time taken keeps decreasing to model the same incremental growth. Does the equation for f(x) or the graph of g(x) correctly model the situation?

Answers

Answer:

Based on the information in the problem statement, the function must pass through points (400 , 0), (800 , 1), and (1,200 , 1.585). Notice that the graph of function g(x) passes through these points.

Next, check the graph of f(x). Plot the function using the given equation to see which points it passes through.

The equation indeed starts at (400 , 0), but it doesn’t pass through the other two required points. So, the graph of g(x) fits the situation, but the equation for f(x)does not.

-2 3/4 divided by 5/-9 = ? in the simplest form

Answers

Answer:

Read Exp:

Step-by-step explanation:

Exact Form:  

- 99/20

Decimal Form:  

- 4.95

Mixed Number Form:

- 4 19/20

Answer:

Step-by-step explanation:

[tex]-2\frac{3}{4}[/tex]  ÷  [tex]\frac{5}{-9}[/tex]  = [tex]\frac{-11}{4}[/tex] ÷ [tex]\frac{5}{-9}[/tex]

                 [tex]=\frac{-11}{4}*\frac{-9}{5}\\\\\\=\frac{99}{20}\\\\\\= 4\frac{19}{20}[/tex]

the volume of this cube is 8 cubic inches. what is the surface area of this cube

Answers

Answer:

Step-by-step explanation:

find the height, width, and length.

multiply them

V=lwh

or

V=Bh

B=lw

If $(ax+b)(2x+3)=20x^2+44x+21$, where $a$ and $b$ are two distinct integers, what is the value of the sum $a+b$?

Answers

Answer: 17

Step-by-step explanation:

Given: [tex](ax+b)(2x+3)=20x^2+44x+21[/tex], where a and b are two distinct integers.

First simplify left hand side as

[tex](ax+b)(2x+3)=ax\cdot \:2x+ax\cdot \:3+b\cdot \:2x+b\cdot \:3\\\\=2axx+3ax+2bx+3b\\\\=2ax^2+(3a+2b)x+3b[/tex]

Then comparing left side and right side

[tex]2ax^2+(3a+2b)x+3b=20x^2+44x+21[/tex]

we get 2a = 20 (coefficient of [tex]x^2[/tex]) , and 3b = 21  (constant term)

⇒ a= 10 and b= 7

Then, a+b= 10+7=17

Hence, the value of sum a+b is 17.

If f(x) = 2x + 7 and g(x)= 3x² -1, what expression represents (f(g(x)) ?
A 6x2 +5
B 6x2 +12
C 3x2 - 2x -8
D 3x2 + 2x + 6

Answers

Answer:

A. 6x^2+5

Step-by-step explanation:

The expression that represents the function (f(g(x))) is 6x² + 5, option A is correct.

Given expressions are f(x) = 2x + 7 and g(x) = 3x² - 1

To find (f(g(x))), we substitute g(x) into f(x):

f(g(x)) = 2(g(x)) + 7

Substituting g(x) = 3x² - 1:

f(g(x)) = 2(3x² - 1) + 7

Distributing the 2:

f(g(x)) = 6x² - 2 + 7

Combining like terms:

f(g(x)) = 6x² + 5

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

Q={(-2,4), (0,2), (-1,3), (4,-2)} Domain and range

Answers

Answer:

Read exp:

Step-by-step explanation:

Domain: {(-2,0), (-1,4)}

Range: {(4,2), (3,-2)}

Jordan's football team gained 12 yards on their first play. On the second play, the team
lost 8 yards. Which expression could be used to describe the total yards gained by
Jordan's team?

Answers

Answer:

4 yards

Step-by-step explanation:

they gained 12 yards and then lost 8

that can be expressed as 12-8=4

Answer:

12+(−8)

Step-by-step explanation:

what is the width?
2w + 2(w+6) = 84

Answers

Answer: w = 18

Step-by-step explanation:

2w + 2(w+6) = 84

Distribute: 2w + 2w + 12 = 84

4w + 12 = 84

4w=72

I need help ASAP
integrated math ll

Answers

Answer:

Its most likely A

sorry If I get it wrong

Point P is located at (-3,5)
Point P' is the image of P after a translation three units to the left, then a reflection using the x-axis.
Find the coordinates of P'

Answers

Answer:

P' (- 7, - 5 )

Step-by-step explanation:

A translation of 3 units to the left means subtractin 3 from the x- coordinate with no change to the y- coordinate, thus

P(- 3, 5 ) → (- 3 - 4, 5 ) → (- 7, 5 )

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), thus

(- 7, 5 ) → P'(- 7, - 5 )

50+5w+20m what is the coefficient variable and constant in this expression

Answers

coefficients are ,5,20 variables are w,m and constant is 50

Answer:

Find the degree, leading term, and leading coefficient.

Polynomial Degree: 1

Leading Term: 20 m

Leading Coefficient:  20

Step-by-step explanation:

PLEASE ANYONE HEEELLLLPP.......I NEED HELP I DONT UNDERSTAND!!!

Answers

Answer:

[tex]\large \boxed{\mathrm{Option \ 4}}[/tex]

Step-by-step explanation:

The area has to be found for the floor.

The whole rectangle = length × width = x × (x-4), has an area of x(x-4).

The area x(x-4) has to be subtracted from the area of the stage and closet.

Area of stage = area of triangle : base × height × 1/2

(x-4) × 8 × 1/2

(0.5) × (8) × (x-4)

Area of closet = area of rectangle : length × width

(3) × (7)

The area of the floor = x(x-4) - 0.5(8)(x-4) - 3(7)

Answer:

i don’t understand it either

Step-by-step explanation:

NEED HELP ASAP ALGEBRA 1

There are approximately 330,000,000 people that live in the United States. There
are approximately 33,000,000 people that live in California. How many times
bigger is the population of the United States than the population of California?​

Answers

Answer:

330,000,000/33,000,000=10

10 times bigger

Step-by-step explanation:

The sum of 43.9 and a number is 49.65, as shown below. What number should go in the box to complete the addition problem? 43.9 plus box _.75 equals 49.65

Answers

43.9 + x = 49.65

Subtract 43.9 from both sides:

49.65 - 43.9 = 5.75

The missing number is 5

How do I do this, im not sure what im supposed to do

Answers

Answer:

Step-by-step explanation:

3<x<7

the set will contain all elements greater than 3 and less than 7

Roster form ={4,5,6}

b) Roster form :{-6,-5,-4,-3......}

set builder form is all numbers greater than -6

I hope it is right

Help please, -16-4g=6g-6g?​

Answers

Answer:

the answer is -4

Step-by-step explanation:

-16-4g=6g-6g

    +4        +4

you add the -4g to both sides by changeing it to positive  

then you have -16=6g-2g

then you go to the right side of the equation and solve, 6-2 is 4 then you have

-16=4g then you divide on both sides

-16 divided by 4 is

-4

Answer:

[tex]\Huge \boxed{g=-4}[/tex]

Step-by-step explanation:

[tex]-16-4g=6g-6g[/tex]

Combining like terms.

[tex]-16-4g=0[/tex]

Adding 4g to both sides.

[tex]-16=4g[/tex]

Dividing both sides by 4.

[tex]-4=g[/tex]

Line segment EF has a length of 5 units. It is translated 5 units to the right on a coordinate plane to obtain line segment E'F'. What is the length of E'F?

Answers

Segment E’F’ would be 5 units as well, it is not being altered in any form it is only being translated 5 units to the right.

Answer:

5 units

Step-by-step explanation:

If both points are translated the same amount, then the length of the line will stay the same.

How are the properties of segments and angles used to determine their measures

Answers

Answer:

See below

Step-by-step explanation:

Use of following postulates and properties of line segments and angles will help in measuring them.

The Segment Addition Postulate

It states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC

The Angle Addition Postulate

It states that if B is in the interior of AOC , then m∠AOB+m∠BOC=m∠AOC. That is, the measure of the larger angle is the sum of the measures of the two smaller ones.

One morning, the temperature in Oakdale was -4°F. By noon, a strong wind had caused the temperature to drop another 3°F. What was the temperature at noon in Oakdale?​

Answers

Answer:

-7°F

Step-by-step explanation:

if -4 was it's original number and the number has dropped means subtraction and by that means subtracting 3 to -4.

Answer: -7

Step-by-step explanation: if -4 was it's original number and the number has dropped means subtraction and by that means subtracting 3 to -4.

A bag contains 7 red marbles and 4 blue marbles.
A marble is taken at random from the bag and replaced.
Another marble is taken from the bag.
Work out the probability that the two marbles
taken from the bag are the same colour.

Answers

Answer:

calculate the probability that the marbles are the same color, then subtract this probability from 1 to find the probability they are different colors. P(2 of the same) = P(2 green) + P(2 yellow) + P(2 red) = 1/26 + 5/26 + 2/26 = 8/26 = 4/13. P(2 different) = 1 - P(2 of the same) = 1 - 4/13 = 9/13.

Step-by-step explanation:

Leonel computed the average rate of change in the depth of a pool over a two week interval to be zero. Which statement is true

Answers

Statement a is true I took the test

Carmen made 80 ounces of peach jam and 96 ounces of strawberry jam. If each jam Will hold 8 ounces of jam how many jars will she need to hold off jam?

Answers

Answer:

80+96

= 176 total ounces of jam

176 ÷ 8

22 total jars

Complete the conditional statement. If -2a > 6, then _____.

Answers

Answer:

a < -3

Step-by-step explanation:

-2a > 6

Divide each side by -2, remembering to flip the inequality

-2a/-2 < 6/-2

a < -3

Step-by-step explanation:

[tex]-2a > 6 \\ a > \frac{6}{ - 2} \\ a > - 3[/tex]

Hope this helps

Other Questions
What small European nation brutally controlled the Congo in the 1800s?A. BelgiumB. FranceC. The NetherlandsD. Britain [MA5T10 E] Name the property being illustrated.45(25 - 5) = (45 x 25) - (45 x 5)A) Commutative PropertyB) Associative PropertyC) Distributive PropertyD) Subtraction Property Sumin runs 50 meters from her house to the park down the street. She then keeps running in the same direction to her friend's house 150 Meters from the park. She then turns around and goes back to the park. What is Sumin's average velocity during her run if it takes her 2 minutes to complete?A. 25 m/sB.2.92 m/sC.3.33 m/sD.0.417 m/s hello everyone can you please solve this Name a person that is a example of a lager than life. True or false? FCC Guidelines restrict the amount of RF radiation that can be "leaked" by non-industrial equipment? The umbilicus in on the __ surface of the hand What is 73 - 4.5= Can you please write the explanation Rockies. Of North America is a great ____ An ant starts at (0, 0), and only makes moves of length 1 in the positive x directions or the positive y direction. How many paths are there from the ant that end at (3, 3) but never pass through (2, 3) Find two consecutive integers such that the sum of the greatest integer and twice the lesser integer is 40. 23. A certain sample of nitrogen gas consists of 9.26 1022 nitrogen atoms.(a) How many moles of N atoms are present in this sample ?(b) If the gas is entirely in molecular form, how many molecules are present in thissample?(c) What is the mass of the sample in gramme? Find Y .............. Find the pattern and use inductive reasoning to predict the next number in the sequence 100,120,60,80,40 if you could teach the world one thing, you would teach.. What is an equation of the line that passes through the point (-4, -7) and isparallel to the line 3x-Y = 4? Observe: Up until now, all the problems you have solved have involved converting only one unit. However, some conversion problems require you to convert two or more units. Select Speed from the menu. What two units do you need to convert to solve this problem? meter and seconds Think about it: How do you think you can use conversion factors to solve this problem? what is the simplified expression for 74 x 76/ 78 1. Seventy percent of the population of Texas lives within a 200-mile radius of Austin.If the total area of Texas is 267,339 square miles, about what percent of the totalland area is within 200 miles of Austin?Analyze Circle the information you know and underline what you aretrying to find. Is there any information you will not use?Plan How will you solve this problem?Solve Solve the problem. Show your steps below. What is the solution?Justify and Evaluate Does your answer make sense? Can you solve the problemanother way to check your work? oop no Kathy measured her finger using a ruler with centimeters. Then she measured the same finger with a ruler using millimeters. Can Kathy compare the two measurements? Yes, 10 centimeters is the same as 1 millimeter. Yes, 10 millimeters is the same as 1 centimeter. Yes, 1 centimeter is the same as 1 millimeter. No, the student cannot compare them.