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

Donald earns $11 per hour working at the bakery.If he works for 4 hours on Saturday and 5hours on Sunday,how much money will he earn?

Answers

Answer:999

Step-by-step explanation:11x9=999

Answer question 9 plz its a test and i will mark u brainliest

Answers

#1,#3, reflect across the axis

Determine which situation could be represented by the system of linear equations given below.
5x+3y=210
x+y=60


A. A candy story sells boxes of chocolates for $5 each and boxes of caramels for $3 each. In one afternoon, the store sold 210 boxes of candy and made a profit of $60.
B. An art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.
C. A guitar requires 5 strings and a banjo requires 3 strings. An orchestra has a total of 210 strings. One guitar player and one banjo player have 60 strings.
D. An audience contains 210 people. Student tickets cost $3 each and adult tickets cost $5 each. At one performance, there are 60 more adults than students.

Answers

Answer:

B

Step-by-step explanation:

The correct situation is option B, an art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.

What is an equation?

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Given equations are 5x+3y=210 and x+y=60.In the equation suppose the number of boxes of chocolates is x and the number of boxes of caramels is y.

The cost of each chocolate box is $5 and the cost of each caramel box is $3 so the total cost of the chocolate boxes is the sum of the total cost of both chocolate boxes.

5x+3y=210

The total number of chocolate boxes will be expressed as:-

x + y = 60

Therefore the correct situation is option B, an art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.

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Please answer this correctly without making mistakes

Answers

Answer:

No it is too high

Step-by-step explanation:

plz mark brainliest

Please help
WILL MARK BRAINLIST

Answers

Answer:

The answer is A, 13, -13.

Step-by-step explanation:

If this helped I would appreciate it if you marked me brainliest. Thank you and have a nice day!

Answer:A 13,-13

Step-by-step explanation:

the sum of three times x and 33

Answers

Answer:

3x+33

Step-by-step explanation:

This is if you are just looking for an expression.

I need some help please

my answer is the one below but I'm not sure pls give work

Answers

C is the right answer

The meal tax at a restaurant is 5.5%. What is the meal tax on a dinner that costs $24?
A. $29.50
B. $1.32
C. $25.32
D. $5.50

Answers

The answer is "C. $25.32"

please help this is so confusing!!!

Answers

Answer:

$16.50 on 3 bags of dog food

Step-by-step explanation:

First you would do 27.50/5 to find out how much one bag costs.

The symbol  /  mean to divide. So 27.50 divided by 5 is 5.50. We need to know the ammount of 3 bags. Hence, we evaluate 3 times 5.50 which equals to our answer, $16.50 on 3 bags of dog food. I hope this will help you succeed!

Toby works at an amusement park. He loads 10 new passengers onto the roller coaster every
3
4
of a minute. At what rate does Toby load passengers?

Answers

Answer:

13 1/3

Step-by-step explanation:

10 divided by 3/4 =10 times 4/3 =40 /3 = 13 1/3

sorry don´t really know how to explain my work i just kinda do it .plus it was on my homework .

Answer:

13 1/3

Step-by-step explanation:

Which of the following values are solutions to the inequality 9 < -10 – 4x?

Answers

Answer:

ndndndndndn

Step-by-step explanation:

svhddbxbdnnddjdnfn

Can anyone help me please I don’t understand this one can you please help me I appreciate it but don’t give me the wrong answer because I need my grade to go up I’m so sorry for being picky

Answers

Answer: (-25)/(2)

Steps:  x | 0 | 2 | 4 | 6 | 8 |

          "x" has a constant rate change of +2

          y | 100 | 75 | 50 | 25 | 0 |

          "y" has a constant rate change of -25  

         

          therefore,  y/x = -25/2

whats 1+1 ( puntos gratis)

Answers

Answer:

I+I = Window

Step-by-step explanation:

Or 2

:|

I'm not too sure

Answer:

i think it's 4

Step-by-step explanation:

maybe 2

brian earns 420 a daywotking at a convenience store. write an algebraic expression to represent the money hre in will earn in d days​

Answers

Answer:

420d

Step-by-step explanation:

We know that he earns 420 every day. So if we want to know how much he earns over 5 days for example, we would multiply 5 and 420...
5 X 420= 2,100
We would do the same thing no matter how many days he works.
* remember that in an algebraic expression having a variable and a constant next to each other indicates that they are being multiplied.

So we can write that as
Money earned= 420d

!!!!!!!!!!!!!!!plz help asap. 50 POINTS!!!!

Answers

Answer:

its c. 1,155.00

Step-by-step explanation:

The answer is B i believe

Eduardo's football team has won
9/10
of their games this season.
Write
9/10
as a decimal.
Write
9/10
as a percent.

Answers

Answer:

9/10=0.9

9/10=90%

Step-by-step explanation:

Answer:

[tex]\frac{9}{10}[/tex] = 0.9

[tex]\frac{9}{10}[/tex] = 90%

Hope this help!

can some help me???????

Answers

I’m pretty sure it’s the third one

An experiment involves studying the composition of genders of a set of triplets. What is the probability that there are 2 boys and a girl in the set?

Answers

Answer:

shoot man couldnt tell ya

Find the distance of a line given the following points. R(3, 1), W(-1, -2)

Answers

Answer:

[tex]\sqrt{13}[/tex]

Step-by-step explanation:

we can solve this using the distance formula: [tex]\sqrt{(x_{2}-x_1)^{2} + (y_{2}-y_1)^{2}}[/tex]

[tex]x_1, y_1[/tex] is (3, 1)

[tex]x_2, y_2[/tex] is (-1, -2)

[tex]\sqrt{(1-3)^2 + (-2-1)^2}[/tex]

which simplifies to: [tex]\sqrt{(-2)^2 + (-3)^2}[/tex]

then: [tex]\sqrt{2^2 + 3^2}[/tex] or: [tex]\sqrt{4+9}[/tex]

your final answer is: [tex]\sqrt{13}[/tex] or about 3.61

Help
Find the missing segment

Answers

Answer:

62

because 14 is twice more than 8

so 24 * 2 = 48

and 48 + 14 = 62

most likely 62

62 because they said it ^ F. |

Hhhhhhhhhhhhhheeeeelllpppppp

Answers

Answer:

c

Step-by-step explanation:

The answer is C.

The difference of 9 and 4 is the same thing as 9-4 (difference means subtraction is involved). 3 times that different is (9-4) x 3, with the parentheses being necessary because of PEMDAS

if my dog was born 4 weeks before August 27th how old will my dog be

Answers

Answer:

the dog was born on july 30th so the dog would be 3 months and a week old

Step-by-step explanation:

in which pair of figures can figure A be taken to figure B by a rotation

Answers

Answer:

Pair 1

Step-by-step explanation:

if the shape A rotated 180 degrees it would reach shape B

If the shape A is rotated 180 degrees then it would reach shape B. so the correct option is Pair 1.

How does rotation by 90 degrees changes coordinates of a point if rotation is with respect to origin?

Let the point be having coordinates (x,y).

Case 1: If the point is in first quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

For points on axes, WE can take that point in any of the two surrounding quadrants. Example, if the point is on positive x axis, then it can taken as of first quadrant or fourth quadrant.

On origin there is No effect as we assumed rotation is being with respect to origin.

Therefore, if the shape A is rotated 180 degrees then it would reach shape B.

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Derrick really wants to earn at least $330 at the Bike Shop this week before he goes on vacation. He earns $150 in a week plus $20 for each bicycle he assembles. Which inequality would help Derrick determine how many bicycles (b) he needs to put together?

Answers

Answer:

150 + 20x ≥ 330

Step-by-step explanation:

"At least" indicates that you should use the greater than or equal to sign. His weekly wage and the bicycle assembly money when added must be at least 330, so 150 and 20x are on the same side. The 20x represents the $20 for each bicycle multiplied by the amount of bicycles he assembled.

Researchers doing a study comparing time spent on social media and time spent on studying randomly sampled 200 students at a major university. They found that students in the sample spent an average of 2.3 hours per day on social media and an average of 1.8 hours per day on studying. If all the students at the university in fact spent 2.2 hours per day on studying, with a standard deviation of 2 hours, the probability of getting a sample average of 1.8 or less is:________.a. 0.5893 b. 0.9977 c. 0.4207 d. 0.0023

Answers

Answer:

d. 0.0023

Step-by-step explanation:

Calculation for the probability of getting a sample average of 1.8 or less

Using this formula

z score =(X-mean)/Standard errror

Where,

Standard error =Standard deviation/√(n)

Let plug in the formula

P(Xbar<1.8)=P(Z<(1.8 hours per day -2.2 hours per day)/(2 hours /√(200))

P(Xbar<1.8)=P(Z<-0.4/(2/14.14))

=P(Z<-0.4/0.1414)

=P(Z<-2.83)

Now let find the Z score of P(Z<-2.83) using the z table

P=0.0023

Therefore the probability of getting a sample average of 1.8 or less is:0.0023

HELP! write y+4 =-2/3(x-9) in standard form

Answers

ANSWER: 2x+3y=6
Explanation: I just know:)

For all real numbers x,if x is an integers then x is a rational number?
A.If a reak number is an integer then_
B.for all integerd x,_
C.If x _then _
D.All integers x are _

Answers

Answer:

c

Step-by-step explanation:

Determine if parallel, perpendicular, or neither.

3y+x=12
-y=8x+1

Answers

Answer:

neither

Step-by-step explanation:

1. if to re-write the equation they will be (in standart form y=kx+b):

3y+x=12 ⇔ y=-1/3 x+12 and -y=8x+1 ⇔ y= -8x-1

2. if the lines are parallel, then k₁=k₂, but k₁=-1/3 and k₂=-8 (k₁≠k₂);

3. if the lines are perpendicular, then k₁*k₂= -1, but k₁*k₂=8/3≠ -1;

4. finally, neither.

Please answer very urgent!! answer using a / only 1 number for each slot example:3/4: wrong tho just random number but yeah please put the correct answer

Answers

Answer:

5/6

Step-by-step explanation:

to subtract fractions you change both fractions to the same denominator. The website arealdy did it for you. The second step is to subtract the top and put it over the common denominator. 8-3 is 5. 5/6

The local diner offers a meal combination consisting of an appetizer, a soup, a main course, and a dessert. There are six appetizers, two soups, four main courses, and six desserts. Your diet restricts you to choosing between a dessert and an appetizer. (You cannot have both.) Given this restriction, how many three-course meals are possible?

Answers

Answer: 96

Step-by-step explanation:

According to the fundamental principle of counting:

Total number of meals possible = (Choices for appetizers) x (Choices for soups) x (Choices for main courses) x (Choices for desserts)

If there is a restriction to choose between appetizer and dessert.

Then, Total number of meals possible = (Choices for appetizers) x (Choices for soups) x (Choices for main courses) +  (Choices for soups) x (Choices for main courses) x (Choices for desserts)

= 6 x 2 x 4 + 2 x 4 X 6

= 48+48

= 96

Hence, the number of three-course meals are possible= 96

Answer:

96?

Step-by-step explanation:

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