Given directed line segment AB determine point X on the graph such that X partions the segment A to B in a ratio of 1:4 and given its coordinates A(5,1) and b(-5,4)

(NEED THIS ASAP!!)

Answers

Answer 1

Answer:

The coordinates of point X that divides the line in 1:4 are: (3,8/5)

Step-by-step explanation:

When a point divides a line with coordinates (x1,y1) and (x2,y2) in ratio m:n,

the coordinates of point are given by:

[tex](x,y) = (\frac{mx_2+nx_1}{m+n} , \frac{my_2+ny_1}{m+n})[/tex]

Given points are:

(x1,y1) = (5,1)

(x2,y2) = (-5,4)

Putting the values in the formula

[tex]X(x,y) = (\frac{(1)(-5)+(4)(5)}{1+4} , \frac{(1)(4)+(4)(1)}{1+4})\\= (\frac{-5+20}{5}, \frac{4+4}{5})\\=(\frac{15}{5}, \frac{8}{5})\\=(3,\frac{8}{5})[/tex]

Hence,

The coordinates of point X that divides the line in 1:4 are: (3,8/5)


Related Questions

what is the slope of the line

Answers

Answer:

y-mx+b

Step-by-step explanation:

Student can eat 1/8 of a pizza. If there are 24 students in David's class how many pizzas does David need

Answers

Answer: 7 boxes of pizza

Step-by-step explanation:

8x3=24

Answer:

David needs 3 pizzas.

Step-by-step explanation:

This is grammatically incorrect, but based on the information provided, I would infer that each student eats *only* 1/8 of a pizza. You would need 3 pizzas, as 3 x 8 =24.

please answer if you can? (This is my math from 8th grade)

Answers

Answer:

40!

Step-by-step explanation:

3x+20+40=180

3x+60=180

3x=120

x=40

Answer:

b=40

Step-by-step explanation:

70 feet in 2 rolls as a unit rate

Answers

Answer:

What is the question?...

Answer: 35

Step-by-step explanation:

A 30 foot cable is being cut into pieces that are 7 1/2 feet long

Answers

Answer:

Cool

Step-by-step explanation:

Do you mean a 30 foot cable is being cut into pieces that are 7 1/2 feet long, how many pieces is it cut into?

Answer:

goodluck

Step-by-step explanation:

What's the recursive rule for the arithmetic sequence described in the following list? Use the rule to find the eighth term of the sequence.
5, 9, 13, 17, 21

Answers

Answer:

33

Step-by-step explanation:

T8 = A + (8 - 1) d

T8 = 5 + 7d

T8 = 5 + 7(4)

T8 = 5 + 28

T8 = 33

note : d is the common difference gotten from T2 - T1

Answer:

33

Step by step explanation:

Eight term of the sequence = a + 7d

where:

a= first term

d= common difference

first term = 5

common difference = 4

= 5 + 7(4)

= 5 + 28

= 33

Jordan's net income for the year ended December 31, Year 2 was $200,000.

Answers

I need more information to know what you are asking for an answer

Answer:

good for her / him but uh whats the question

1+6 pls help me nowwwwwww

Answers

Answer:

7

Step-by-step explanation:

Your answer would be 7

On his most recent math test, Jeremy answered 48 questions correct out of 80 total questions. Which statement can be made about Jeremy's math test?

Answers

Answer:

Jeremy has gotten more than half of the test's questions correctly.

Step-by-step explanation:

To get half of the questions correctly, Jeremy needed at least 40, and Jeremy got more than 40, meaning he got more than half.

Determine if the following vectors are orthogonal, parallel, or neither.
<2,5> and <-4, 10 >​

Answers

Answer:

the are parallel to eachother

True or false the sum of two negative numbers is always negative explain why or why not this is true or false

Answers

Answer:

true

Step-by-step explanation:

Let's say you have -7 dollars in your bank account, and then you go and spend 5 more, which is -5, now you have -12 bucks in your account

Answer:

true!

Step-by-step explanation:

if you add negative numbers together, it will have to be negative because you are not adding positive numbers. same thing with positive numbers, if you add two positive numbers together, the sum will be a bigger positive number!

Divide. Express your answer in simplest form.
8/9 ÷ 8

○7 1/9
○1/9
○8/72
○9​

Answers

Answer:

1/9

Step-by-step explanation:

8/9 ÷ 8/1

8/9 x 1/8 = 8/72

The GCF for 8 and 72 is 8

[tex]\frac{8}{72}[/tex]÷[tex]\frac{8}{8}[/tex]=[tex]\frac{1}{9}[/tex]

Answer: 1/9

see below for work ⤵

how to find a inequality

Answers

Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions.
Step 2 Simplify by combining like terms on each side of the inequality.
Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.

How much sparkling water would you need to make 100 quarts of sparkling grape juice? (Recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quarts of grape juice)

Answers

Answer:

66.6666

Step-by-step explanation

This is the answer because I found it up here and I got the answer right.

Brita has a monthly budget of x dollars. She spends $1,425 on her mortgage every month. One-third of her remaining budget is spent on recreational activities. Which equation below can be used to determine the amount, in dollars, spent on recreational activities?

Answers

Answer:

y = ⅓(x - 1425)

Step-by-step explanation:

Given

Budget = x

Mortgage = 1425

Required

Determine the amount spent on recreational activities.

First, we need to get the balance after she pays her mortgage.

Balance = Budget - Mortgage

Balance = x - 1425

From the question, we understand that she spends ⅓ of the balance on recreational activities.

Represent this with y.

y is calculated as thus:

y = ⅓ of Balance

y = ⅓ * (x - 1425)

y = ⅓(x - 1425)

Hence, the above equation y = ⅓(x - 1425) can be used to calculate the amount spent on recreational activities

DUE IN A HOUR!!!!!!!!!!

What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

y=1/4x+7/4

Step-by-step explanation:

A new basketball 20% off if it’s original price and is now selling for $36 what is the original price of the basketball before
the sale?

Answers

The answer is 180$ hope this helps

Solve this system for m and b 342=23m+b 147=10m+b

Answers

Answer:

b = − 3

m = 5 ( 39 + 2 m ) /23

1. m= 342-b/23
2.m= 147-b/10

Given f(x) = 2x2 + 4x - 3 and g(x) = 5x – 2, find f(x) · g(x).
Must show all work to receive credit! Show your work in the box below.

Answers

Answer:

i don't have and idea

Step-by-step explanation:

What is the median for 6.74

Answers

Answer:

sorry i needed the points for school

Step-by-step explanation:

Answer:

Median normally is the middle figure in a set of numbers. not totally sure.

what is n in a hexagon

Answers

Answer:

For a hexagon, n=6.

Step-by-step explanation:

Answer:

n = 6

Step-by-step explanation:

A hexagon has 6 sides

4+ (-1 2/3) what’s the answer

Answers

Answer:

2 1/3

Step-by-step explanation:

Aarti posted a comment on her blog. Each day the number of responses to her comment was 125% of the number she
received on the previous day. If there were 64 responses the first day, how many were there on the fourth day?
O 100
112
оооо
125
132
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

125

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

What percentage of the eggs hatched?

Answers

Answer:

Is there supposed to be a picture or what??

Step-by-step explanation:

Does the three in 3.0 mean

Answers

Answer:

the 3 is in the tenths place, so it represents 3.

Step-by-step explanation:

<3

find the inverse of the function y equals x squared minus 12 ​

Answers

Answer:

Step-by-step explanation:

y=x^2-12

The inverse is

√x+12, -√x+12

Please help I’m stuck on this question

Answers

Answer:

A. this is a vector, so you need a bar on top (ie not D)

Step-by-step explanation:

Find the area of the shaded region. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
105 is on the graph

Answers

Answer:

Probability =0.8854 (Approx)

Step-by-step explanation:

Given:

Mean μ = 100

Standard deviation σ = 15

Computation:

Z at 70

Z = (70-100)/15

Z at 70  = -2

Z at 120

Z = (120-100)/15

Z at 100 = 1.33

Probability = φ(1.33) - φ(-2.0)

Probability = 0.9082-0.0228  

Probability = 0.8854 (Approx)

15x + 10 - 6 PLEASE HELP ME SOLVE THIS PLEASE SHOW WORK TO? THANK YOU

Answers

This is how you do it

-25.63+ -30.59 ??? Can someone let me know what this equals?

Answers

Answer:

= -56.22

Step-by-step explanation:

have a great day

pls mark as brainliest!

hope this helped!

Answer:

-56.22

just calculated it (:

Other Questions
What is the most likely reason that the steam locomotive was developed soon after the steamboat? The steamboat was useful only for transporting goods, not people. The locomotive used the same technology but could travel more broadly. The steamboat was practical only in England, which is an island. The locomotive used more efficient technology and was less expensive. Will mark Brainliest what is the range of the function Which list represents integers ordered from least to greatest?A 4,-7, -6, 10B 4, -5, -6, 10C -7, -6, 4, 10D-6, 4, 5, 10OABOCD Compare and contrast Pan Asianism and SocialDarwinism. Directions: Respond to the question by writing in complete sentences and using academiclanguage.15. Scenario: Bill lives in a heavily wooded area. He decides to start a Christmas tree farm and sell thelozs for $20 each. He begins to cut the forest and uses his father's chain saw to cut the trees intologsList each factor of production Correctly identify each factor of production from the scenarioand explain how Bill is using each factor of production in the scenario. Sydney is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.25. Sydney spent $24.25 altogether at the carnival and the number of rides she went on is 3 more than the number of games she played. Determine the number of games Sydney played and the number of rides Sydney went on How is a procedure different than a function?O A function is a subroutine, while a procedure is a parameter.O A procedure and a function are the same thing.A procedure returns a value, while a function does not.A procedure does not return a value, while a function does.DONE cul es el adverbio del refrn ojos que no Ben corazn k no siente? Suppose there are two blocks of solid iron. One block is a cube, three inches on a side. The other block is a cube three miles on a side. Obviously, the large cube is many, many times greater volume than the small cube, and many, many times heavier. Is the large cube more dense than the small cube, or less dense? Using the chart below select which word completes the sentence: _______vas?DndeHola Mr. Moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school he puts m mechanical pencils in each bag he puts twice as many regular pencils in each bag Which of the following was not an influence on Texas culture by early European immigrants?a.cattle ranchingb.architecturec.plantation farmingd.CatholicismPlease select the best answer from the choices providedABCD In a paragraph of no less than 125 words, compare and contrast general characteristics of Medieval and Renaissancemusic. Include things like theme, polyphony, language, etc. what is socialization Please I really need help on 27 I WILL MARK BRAINLIEST!!!! A new microorganism is isolated from a lake and is placed into a solution of KCl. The voltage difference across its membrane is measured at 120 mV. How much energy is required to move a proton from the negative side of the membrane to the positive side? What can you infer about particle's size? Solve the equation.8 2x = 8x + 14Will give Brainliest if explained. Triangle ABC is an isosceles triangle. Angle A is the vertex angle. AB=8x-8 and AC=6x+9 find the length of one of the legs Young people are the most important segment of society forpoliticians to appeal to. That's because young Americans aretrendsetters who buy the hottest products, watch the most popular TVshows, and set the nation's taste in music.Which statement best evaluates the use of a claim and reasoning?A. The passage does not have a strong claim and does not containany sound reasoning.B. The passage does not have a strong claim but does contain soundreasoningC. The passage has a strong claim that is not backed up by soundreasoningD. The passage has a strong claim backed up by sound reasoning.