Line segment AB has endpoints A(6, 4) and B(2, 6). Find the coordinates of the point that divides the line segment directed from A to B in the ratio of 1:3.

Answers

Answer 1

Answer:

(3, 5.5)

Step-by-step explanation:

Given the line segment AB with endpoints A(6, 4) and B(2, 6). If the coordinates of the point divide the line segment directed from A to B in the ratio of 1:3, then;

M(X, Y) = {(ax1+bx2)/a+b, ay1+by2/a+b}

X = ax1+bx2/a+b

X = 1(6) + 3(2)/1+3

X = 6+6/4

X = 12/4

X = 3

Similarly;

Y = ay1+by2/a+b

Y = 1(4)+3(6)/1+3

Y = 4+18/4

Y = 22/4

Y = 5.5

Hence the required coordinate is (3, 5.5)


Related Questions

Hellpp please and thank……………

Answers

Answer:

a1 = 2

a2 = 6 = 2.3 = a1.3

a3 = 18 = a1.3²

a4 = 54 = a1.3³

=> this is a geometric sequence with a1 = 2

q = 3

=> a11 = 2.3¹⁰ = 118098

Nigel has 2 dogs one eats 21/2 pounds of food each week. The other eats 1 3/8 pounds a week together how much food do the dogs eat in a week?

Answers

Answer:The dogs eat 3 7/8 pounds of food together each week.

Step-by-step explanation:

First dog eats eats 21/2 pounds of food each week

The second eats eats 1 3/8 pounds of food each week

In total the two dogs eat  

2 1/2  + 1 3/8  = 3 (4+3)/8

=3 7/8

The dogs eat 3 7/8 pounds of food together each week.

10. Solve the following pair of simultaneous equations 2 + x = y xy = 5. 1 Add file​

Answers

x = 5 and y = 3. That is the answer

help me please: tan3x-tanx-1=0



Answers

Answer: [tex]x=0.30714\dots +\pi n[/tex]

Step-by-step explanation:

[tex]\Rightarrow \tan3x-\tan x-1=0\\\\\Rightarrow \dfrac{3\tan x-\tan ^3x}{1-3\tan ^2x}-\tan x-1=0\\\\\Rightarrow 3\tan x-\tan ^3x+( 1-3\tan ^2x)(-1-\tan x)=0\\\Rightarrow 3\tan x-\tan ^3x-1-\tan x+3\tan ^2x+3\tan ^3 x=0\\\Rightarrow 2\tan ^3x+3\tan ^2x+2\tan x-1=0\\\Rightarrow \tan \left(x\right)\approx \:0.31718[/tex]

i need help quick!! i need steps please. i dont understand it
will mark brainliest.

Answers

Answer:

Its just a slide 2 up and 3 to the right it seems. It can be a mirror because in never changes the shape. as of rules i dont understand want you need please comment and ill let you know

Step-by-step explanation:

It is not a rotation, a mirror a flip or anything like that i think its only slides.

I didnt se this before every slide counts as 2 so its 4 up and 6 to the right

Yep he or she is right have a nice day

The diagram shows a man standing next to a dinosaur.
Estimate the height of the dinosaur.

Answers

Answer:

manz I think u would need like a ruler or something

Please help??? An explanation would help too and the answers

Answers

the first, (f+g)(x) is f(x) + g(x)

calculating it like:

x² + 7x + (8 -x²)

= x² + 7x + 8 -x²

= 7x + 8

you just writ it down as a calculation and calculate it. i hope that helps understanding the concept/basic idea. please let me know wich ones you need more help with.

edit1: the domain is the range of possibilities wich x we can plug into the new equation

The temperature in Chicago, Illinois dropped to -9 °F during the night.
How many degrees must the temperature increase to reach 0 °F?

Answers

Answer:

+9

Step-by-step explanation:

+9-9=0

The Correct answer to your question is 0!!

Two Boys are building a skateboard ramp. They want the ramp to be 3 feet tall and 5 feet long. One of them thinks that they can use a piece of plywood that is 4 feet long to cover the top of the frame.

This is one of theirs work.

a2 + b2 = c2
32 + b2 = 52
9 + b2 = 25
b2 = 16
b = 16−−√
b = 4

Why is his reasoning incorrect? Explain.


How long does the piece of plywood have to be to cover the top of the frame of the skateboard ramp? Round your answer to the nearest tenth of a foot. Show your work.

Another boys parents bought a 10 foot piece of plywood for him and his friend to use to cover the top of the frame. Draw and label a ramp they could create. Justify your work using the Pythagorean Theorem.
Draw

Answers

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are acute, obtuse, scalene, isosceles, equilateral and right angled triangle.

Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is equal to the sum of the square of the remaining two sides.

The ramp has the form of a triangle. The height of the ramp is the vertical side of a triangle, the top of the frame is the hypotenuse while the length of the ramp is the base side of the triangle.

Let the hypotenuse be b Hence:

b² = 3² + 5²

b² = 9 + 25

b² = 34

b = 5.83 feet

Answer:C

Step-by-step explanation:

Please help me. I feel really confused and I have no clue on what to do…

Answers

Answer:

i cant understand your questions. can you reply me? i will have better answer

6. Jenny needs to build a box that has a square base and a volume of 900 cm°. The height of the box is related to the length of one side of the base by the function h(s) = 900
a. What value of y satisfies the equation y=h(10). What does this tell you about the box?​

Answers

Answer:

Step-by-step explanation:

Its 43567 bc I searched it up

Which choice is equivalent to 4 square root 3?
A. 12
B. 748
C. V12
D. 6

Answers

The correct answers is A:12

I need help!!!! :))))

Answers

Answer:

A=50.24

Step-by-step explanation:

Your diameter is 8, which makes the radius 4.

The area of a circle is

[tex]A = \pi r^{2} \\A = \pi 4^{2}[/tex]

A=50.24

can somebody help plz​

Answers

Answer:

(3,2)

Step-by-step explanation:

the other three ordered pairs do not lie in the shaded region

I found the answer on this link www.mathrp.zxrt

Find The Surface Area And Volume Of A Sphere Whose Radius Is 5.6ml

Answers

Answer:

surface area is A≈394.08

not so sure about volume

Step-by-step explanation:

What are solutions to the equation x^2-34=864

Answers

Answer:

x=29.9

Step-by-step explanation:

x=29.9

Jeremy’s car travels 26 miles per gallon of gas (g). If the distance traveled (d) can be given by a function, what is the input of this function?

Answers

You can put this solution on YOUR website!
Jeremy’s car travels 26 miles per gallon of gas (g). If the distance traveled (d) can be given by a function, what is the input of this function?
---------

What is the basic unit of time? What is the relationship between time and sound in music? please help im desperate

Answers

Duration is the length of time a pitch, or tone, is sounded." A note may last less than a second, while a symphony may last more than an hour. One of the fundamental features of rhythm, or encompassing rhythm, duration is also central to meter and musical form. (I copie d it from Goog le if you need a summed up explanation or one that’s not obvious it’s copie d from Googl e feel free to ask

Find the product of (2x-3)(x-1)​

Answers

Answer:

Step-by-step explanation:

[tex](2x -3)(x-1) = 2x(x-1) -3(x-1)[/tex]

                     [tex]=2x^2 -2x -3x +3\\= 2x^2 - 5x + 3[/tex]

when 2-(7g-3) =-9 is solved, the result is:
a. 2
b. -2
c. -4
d. none of these choices are correct​

Answers

The answer is A. 2

Step-by-step explanation:

First let's simplify both sides of the equation

Now using the Subtraction Property of Equality subtract 5 from both sides

[tex]-7g+5-5=-9-5-7g=-14[/tex]

Now using the Division Property of Equality divide both sides by -7

Which function has an inverse that is also a function?
A. {(-4, 3), (-2, 7), (-1, 0), (4, -3), (11, -7)}
B. {(-4, 6), (-2, 2), 6-1, 6), (4, 2), (11, 2)}
C. {(-4,5), (-2, 9), (–1, 8), (4, 8), (11,4)}
D. {(-4, 4), (-2, -1), (–1, 0). (4.1), (11, 1)}

Answers

Given:

The different functions in the form of set of ordered pairs.

To find:

The function which has an inverse that is also a function.

Solution:

A relation is a function if there exists unique y-value for each x-value.

We know that the inverse transformation is defined as:

[tex](x,y)\to (y,x)[/tex]

So, the inverse of function is also a function if their exists unique x-value for each y-value in the function.

In option A, all x-values and y-values are unique. It means, inverse of this function is also a function. So, option A is correct.

In option B, [tex]x=-4[/tex] and [tex]x=-1[/tex] when [tex]y=6[/tex]. It means, inverse of this function is not a function. So, option B is incorrect.

In option C, [tex]x=-1[/tex] and [tex]x=4[/tex] when [tex]y=8[/tex]. It means, inverse of this function is not a function. So, option C is incorrect.

In option D, [tex]x=4[/tex] and [tex]x=11[/tex] when [tex]y=1[/tex]. It means, inverse of this function is not a function. So, option D is incorrect.

Therefore, the correct option is A.

factorise fully 3r+6r2

Answers

Answer:

3r(1 + 2r)

Step-by-step explanation:

3r + 6r^2

take common

3r(1 + 2r)

Answer:

3r(1+2r2)

Step-by-step explanation:

A landscaper needs to rent tree-trimming equipment. The graph shows the rental costs for the equipment at two different stores. Choose the ordered pair that best estimates the time and cost at which the two stores charge the same amount.​

Answers

Answer:

(105 | 35)

the x-component (how much to the side) is left, the y-component right (how high)

The ordered pair that best estimates the time and cost at which the two stores charge the same amount is (110,35).

What is a graph?

A graph can be defined as a pictorial representation of statistical data in graphical form. The points on the graph often represents the relationship between two or more things. The points are plotted in x-axis and y-axis respectively.

For the given situation,

The graph shows the time in x-axis and cost in y-axis.

Ordered pairs are often used to represent two variables.

The number which corresponds to the value of x is called the x-coordinate and the number which corresponds to the value of y is called the y-coordinate.

From the graph, the point of intersection of x-axis and y-axis gives the the time and cost at which the two stores charge the same amount.

Thus the point of intersection is x at 110 and y at 35.

⇒ [tex](x,y)=(110,35)[/tex]

Hence we can conclude that the ordered pair that best estimates the time and cost at which the two stores charge the same amount is (110,35).

Learn more about graphs here

https://brainly.com/question/7563606

#SPJ2

Which equation describes the line graphed above?

Answers

D is the answer 2/3 rise over run and then it is sitting on the positive 4 on the y axis

Need honest and urgent help thank you

Answers

Answer:

(Top to bottom) The third and the fifth.

Step-by-step explanation:

I feel lazy typing this so I'll just take a pic if you're curious about the process.

Iready
Which of the following accurately compares 15 - v105 and 5?
PLEASE HELP ME

Answers

Answer:

[tex]\sqrt{105}[/tex] is slightly more than 10, so 15 - [tex]\sqrt{105}[/tex] is less than 5.

Step-by-step explanation:

Given expression is (15 - √105).

Since, √105 ≈ Slightly greater than 10 [Since, [tex]\sqrt{100}=10[/tex]]

Therefore, when we subtract the value of [tex]\sqrt{105}[/tex] from 15,

15 - [tex]\sqrt{105}[/tex] = Slightly less than 5

From the given options answer will be,

[tex]\sqrt{105}[/tex] is slightly more than 10, so 15 - [tex]\sqrt{105}[/tex] is less than 5.

What is sin(51°)?
A. 0.51
B. 1.23
C. 0.78
D. 0.63

Answers

Answer:

0.78

used a calculator

It was would be C- 0.78 ❤️

if f(x) = 3x+2 what is f(5)?

Answers

Answer:

just put 5 on the place of x

Step-by-step explanation:

3(5)+2

15+2

17

hope it helps

Answer:

lets say f equals 1

x-2 = 3x

-2 = 2x

x=-1

1(-1)

-1

URGENT! What are the residuals for the scatter plot. Thank you!

Answers

Answer:

demos & mathaway

Step-by-step explanation:

I know this isn't the answer u wanted but go to demos and hit scattered ploys type the data in a table on demos. and it should give u ur answer. hopefully this helps. if not, I hope someone helps u soon.

Find the value of x using the geometric mean theorems.
All radical answers should be entered as a decimal rounded to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Other Questions
Choose the word that matches each definition. 1. IP Address 2. Server 3. Port Each term is only used once._____________ a number used within a computer to identify a specific process ____________ a numerical reference to a particular device in a network ___________ a computer that handles requests and returns data to other computers in a network Which statement describes the solutions of this equation? A. The equation has no valid solutions and two extraneous solutionsB. The equation has one valid solution and no extraneous solutions C. The equation has one valid solution and one extraneous solutionD. The equation has two valid solutions and no extraneous solutions Plastic and Co manufactures industrial plastic containers. As petroleum prices fall, the price of plastic materials also falls. As a result,a: Plastic and Cos marginal cost curve will shift.b: The market price for the plastic containers will rise, other things equal.c: The fixed cost curve for Plastic and Co would shift downward.d: Average cost curve of plastic containers will shift upward.When ________, a competitive firm will produce and earn economic profits.a: marginal revenue is risingb: marginal costs are decreasingc: marginal revenue is above average costsd: marginal revenue = average total cost = marginal costs can someone write a review on the devil and the white city . Please HELP me WITH this EQUATION ; A triangle has two base angles of 35 and another angle of 110. Select any words which accurately describe the triangle. AObtuse-angled BScalene CEquilateral DRight-angled EIsosceles FAcute-angled how many credits do you need to become a 10th grader ? Please help!!!!!!!!!!!!!!!!!!! Which statement is true about Angle C P B? 100 POINT PLEASE HELP QUICK!!!! Evaluate the expression. 202 + 6(9 + 3) = I dont know the answer help! ? when Maria was born, her mother was 24 years old. At present, Maria's age is 20% of her mother's age. How old is Maria now? Need help with math earn 10 points Elvira est aprendiendo a montar en bicicleta pero no tiene su casco. No debe hacerlo sin su casco. Por favor, no _[blank]_.Qu palabra o frase completa la oracin con el mandato informal negativo correctamente?permteselose lo permitasse permitele permitaspermitrselo PROJECT: INTERVIEW A FRIENDHere is your goal for this assignment:Compose an essay based on an interviewFor this essay, you will interview a friend. Prepare an outline and note cards. Plan a speech to introduce that friend to your teacher or a helper. You may want to use the following questions for a guide in your interview.What is your name?Where have you lived or traveled?What is your relationship with Christ?What is one word that describes you?What hobbies do you have? What pets?Describe your family.What is the biggest problem facing our country today?What are you plans for your future?When you have finished interviewing your friend, write an essay of at least 250 words about this person. Which of the following does NOT represent the debate over the role of government?A. Self-serving individuals vs. An instrument for citizensB. Government as a useful idea vs. Better off withoutC. A protective entity vs. An oppressive forceD. Actively involved vs. Hands-off watchfulness If the product of two numbers and is 180 and their HCF is 3, then find the LCM of and . According to the Venn diagram below, what is P(A, BAC)? help plzzzzzzzzzzzzzzzzz asap i don't have time i will give brainlist explain about primary memory?