A segment has one endpoint at the origin O and the other endpoint at A(12,36). If point B is located on OA such that OA/BA=3 then which of the following are the coordinates of B?
(1) (4,12) (2) (9,27) (3) (8,24) (4) (36,108)

Answers

Answer 1

The distance between (8, 24) and (12, 36) is one-third of the distance between (0, 0) and (12, 36).

How to find the coordinates of point B?

We know that:

O = (0, 0)A = (12, 36).

And point B is between these two, such that:

OA/BA = 3

Meaning, OA is 3 times BA.

Now, if we apply a factor of 1/3 to point A, we get:

(12/3, 36/3) = (4, 12)

So, the distance between A and B is equal to the distance between the origin and (4, 12) (a change of 4 units in the x-component and 12 units in the y-component).

The point that meets that condition is (8, 24), which is given by multiplying by 2 the previous coordinates.

The distance between (8, 24) and (12, 36) is one-third of the distance between (0, 0) and (12, 36).

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Related Questions

convert 0.2146666 into fraction in its simplest form​

Answers

Answer:

1073333/5000000

Step-by-step explanation:

To convert from decimal to fraction : take denominator as 10000000.

2146666/10000000

1073333/5000000

Answer:

107333/5000000Step-by-step explanation: I got a 92 on this

please help me if you can??​

Answers

The perimeter of a circle is finding the circumference of the circle

  --> calculated by the equation:   [tex]\pi D = 2\pi R[/tex]

D: diameterR: radius

A semicircle has half of the circumference of the circle, thus the circumference equation is

 --> [tex]\frac{1}{2} \pi D = \frac{1}{2} *2*\pi *r[/tex]

We are given:

Diameter --> 17 in[tex]\pi[/tex] = 3.14

Now let's calculate

[tex]\frac{1}{2} *3.14*17 = 26.69 in^2[/tex]

Hope it helps!

The circumference of a circle is 7\piπ in. Find its diameter, in inches.

Answers

Answer:

6

Step-by-step explanation:

that's my answer hope it's help

yan lang nakayanan ko ty

find the radius of a circle having circumference 2pai r​

Answers

2/2 = 1

Radius= 1

I think this is right. Hope this helps

Answer:

[tex]{\huge{\pink{\underline{\underline{SoLuTiOn}}}}}[/tex]

Refer to above attachment...

is the solution 3/4 or 5 of 4.5x=18

Answers

Answer:

4

Step-by-step explanation:

divide each side by 4.5x would be left equal to 4

Answer:

x=18/4.5=4

Step-by-step explanation:

Divide both sides by 4.5

(÷4.5)4.5x=18(÷4.5)

x=18÷4.5=4

please help greatly appreciateD

Answers

Answer:

52.7856 cm

Step-by-step explanation:

c=2(3.142)(16.8/2)

c= 2(3.142)(8.4)

c=52.7856 cm

Answer:

Today: Monday, 12 October 2020

Hour: 05.32 WIB (in Indonesian)

_________________________

D = 16.8

r = d ÷ 2 = 8,4

Circumference:

2πr

= 2 × 3,142 × 8,4

= 6,284 × 8,4

= 52,7856 cm

88 is a solution to 1/8x=11 because

Answers

Answer:

because 88/8 = 11 and its a fraction

Step-by-step explanation:

I know I'm starting to get annoying but I need more help from you lovely people.

Answers

Answer:

b

Step-by-step explanation:

A class of sixty students voted for class president. 30% voted for Brad and 70% voted for Jane. How many votes did the winner get

Answers

The winner got a total of 42 votes.

What is Percentage?

This can be defined as a number or ratio expressed as a fraction of 100. It is usually calculated by parts/whole × 100.

In this scenario, Jane was the winner as she got a higher percentage of votes. To calculate the exact number of vote we have to do the following:

70%/100% × 60 = 42 votes.

Therefore, the total number votes the winner got is 42.

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PLEASE HELP IM STUCK AND IM STUCK
World War II affected people in different ways. While soldiers fought, people on the home front made sacrifices to support the war effort. Imagine you are either a soldier or someone on the home front during World War II. Compose a letter describing a day in your life during the war. Be sure to include specific details and examples to highlight your daily life’s challenges.

Write a narrative essay that is formatted like a letter. Be sure to:

establish the setting.
establish at least one character.
develop a plot.
describe realistic details of daily life in World War II.
Your essay should consist of multiple paragraphs.

Answers

Answer:

After the December 7, 1941, Japanese attack on the American naval fleet at Pearl Harbor, Hawaii, the U.S. was thrust into World War II (1939-45), and everyday life across the country was dramatically altered. Food, gas and clothing were rationed. Communities conducted scrap metal drives. To help build the armaments necessary to win the war, women found employment as electricians, welders and riveters in defense plants. Japanese Americans had their rights as citizens stripped from them. People in the U.S. grew increasingly dependent on radio reports for news of the fighting overseas. And, while popular entertainment served to demonize the nation’s enemies, it also was viewed as an escapist outlet that allowed Americans brief respites from war worries.

Step-by-step explanation:

please help me please help

Answers

Answer:

slope is 3/2

Step-by-step explanation:

you can find slope by comparing the vertical height / horizontal height of two points on the line

for example, we can use points (20,0) and (40,30)

vertical height is 30 minus 0 which is 30

horizontal height is 40 minus 20 which is 20

so slope is 30/20 or 3/2

What is the 50th term in the sequence 12, 24, 36, 48, 60

Answers

Answer:

Step-by-step explanation:

They are the multiply of 12 so it means 12×50=600

Answer:

60

Step-by-step explanation:

he is right 60

which graph please anwser ASAP :)))

Answers

First graph because when you solve you get -2 is greater than 8 then divide by negative two which will give you x is greater than 4 but since you divided by a negative you switch the sign so it’s x is less than -4

please help please help!!!​

Answers

Step-by-step explanation:

If the die has 6 sides, this will be 10 or under, but there are 2160 ways this can happen

how do I solve this?

Answers

Answer:

all you have to do is substitute the given x into the equations then graph it!

Step-by-step explanation:

no answer needed just explanation?

Answer:

there is a website called math.w.a.y (take out the dots) aand this is what i use to help me with equations like this

Step-by-step explanation:

Send a pick-up-line
Best one will get a ......SURPRISE!!!!
Which is obviously 100 points

Answers

Answer:

I’d never play hide and seek with you because someone like you is impossible to find.

Step-by-step explanation:

Answer:

Did it hurt when you fell from heaven?

Because it sure hurt when I did

Will Mark Brainliest. Please look at the other 5 questions I will post. Need this fast
Please

Answers

Answer:

1. Second option. Value of the first column is less than the second column's value

2. Right by 4 units

3. (-1, -6)

4. Function 1 and 2 have the same maximum

5. 15

Step-by-step explanation:

1.  look at the photo

2. look at the photo

3. look at the photo

4. I used the formula -b/2a to find the x-value of the vertex. I got 0 (there is no b) and then I subbed it into the function and y = 9. Hence the vertex of the first function is (0,9) which is the same as the second function

5. The vertex of the f(x) is (-3, -3) and the vertex of g(x) is (3, 12). To find the difference you would do 12 - (-3), which would become 12 + 3 = 15

6y + 4 – 3y = -5 + y + 17

Answers

Answer:

Step-by-step explanation:

6y+4-3y=-5+y+17

6y-3y-y= -5+17-4

2y=8

y=4

Answer:

y = 4

Step-by-step explanation:

6y + 4 - 3y = -5 + y + 17

First, we have to combine like terms on each side of the equation:

3y + 4 = y + 12

Then, we have to combine the terms from both sides of the equation:

3y + 4 = y + 12

      -4          -4

3y = y + 8

-y    -y

2y = 8

Then, we divide so we only have y on the left side:

2y = 8

/2     /2

y = 4

Hope this helps :)

What is the range of the function f(x) = -
3x - 11 -
22
O all real numbers
O all real numbers less than or equal to -2
O all real numbers less than or equal to 1
O all real numbers greater than or equal to -2
-7-6-5-4-3-2-1
2 3
-2
3
-
-5

Answers

Answer:

the second : all real numbers less than or equal to -2

Step-by-step explanation:

the range is the interval or set of all possible y-values.

the graph shows us that the function has a maximum y value of -2 (at x = 1).

all other y values left and right of that one are smaller than -2.

Hello people ~
x² + 4x - 77​

Answers

Answer:

[tex](x+11)(x-7)[/tex]

Step-by-step explanation:

To factorize [tex]x^2+4x-77[/tex]

[tex]\textsf{for} \ ax^2+bx+c \ \textsf{find} \ v, w \ \textsf{such that} \ v \cdot w=a \cdot c \ \textsf{and} \ v+w=b\\ \textsf{ and group into} \ (ax^2+vx)+(wx+c)[/tex]

[tex]a \cdot c=1 \cdot -77=-77[/tex]

[tex]b=4[/tex]

Therefore, the 2 numbers that multiply together to give -77 and add together to give 4 are:  11 and -7

[tex]\implies x^2+11x-7x-77[/tex]

[tex]\implies (x^2+11x)+(-7x-77)[/tex]

Factor the parentheses:

[tex]\implies x(x+11)-7(x+11)[/tex]

Factor out the common term [tex](x+11)[/tex]:

[tex]\implies (x+11)(x-7)[/tex]

[tex]\\ \rm\rightarrowtail x^2+4x-77[/tex]

[tex]\\ \rm\rightarrowtail x^2+11x-7x-77[/tex]

[tex]\\ \rm\rightarrowtail x(x+11)-7(x+11)[/tex]

[tex]\\ \rm\rightarrowtail (x-7)(x+11)[/tex]

Done!

a) On January 1st Mary weighed 92 pounds. Over the next 6 months, she gained (g) pounds, then lost (x) pounds. Her new weight can be represented by the equation w = 92+ g -1. If g = 15 and x =8 , what is mary's new weight? ​

Answers

Answer:

w = 99 pounds

Step-by-step explanation:

The problem states that Mary's weight is given by the equation:  

w = 92 + g - 1

I believe the "-1" should be "-x."  -1 would mean that Mary lost 1 pound.  But we know that Mary lost 8 pounds, which is designated as x.

The correct equation is:

w = 92 + g - x

============

Using the correct equation, and g=15 and x=8, Mary's new weight is:

w = 92 + 15 - 8

w = 99 pounds

Suppose Casey Title Company normally charges $300 for services related to selling a house. As part of a summer special, Casey offers customers a trade discount of 25%. On July 9, Linda Holmes uses the services of Casey and pays cash equal to the discounted price. Record the revenue recognized by Casey on July 9. (If no entry is required for a particular transaction/event, select "No Journal Entry Required" in the first account field.)

Answers

Given :

Casey's company charges , C = $300.

In summer special, Casey offers customers a trade discount of 25%.

To Find :

Charges during summer.

Solution :

Let, x is the amount of charges they take during summer.

Casey offers customers a trade discount of 25%.

[tex]x =300(1-\dfrac{25}{100})\\\\x=300(1 - 0.25)\\\\x=300(0.75)\\\\x=\$225[/tex]

Therefore, amount of charges during summers are $225.

Hence, this is the required solution.

Use synthetic division to solve (4 x cubed minus 3 x squared + 5 x + 6) divided by (x + 6). What is the quotient?
4 x squared minus 27 x + 167 minus StartFraction 996 Over x minus 6 EndFraction
4 x squared + 21 x + 131 + StartFraction 792 Over x + 6 EndFraction
4 x squared + 21 x + 131 + StartFraction 792 Over x minus 6 EndFraction
4 x squared minus 27 x + 167 minus StartFraction 996 Over x + 6 EndFraction

Answers

Answer:

Step-by-step explanation:

as x+6 is the quotient, you need to use -6

-6 |  4   -3   +5       6

x         -24  +162 -1002

add

       4  -27  167  -996

f(x)= 4x^2 -27x +167 - 996/(x+6)

Lets check

(x+6)(4x^2 -27x +167)= 4x^3 -27x^2 +167x + 24x^2 - 162x + 1002 =

= 4x^3 - 3x^2 +5x +1002

1002-996= 6

So we have the correct solution: 4x^2 -27x +167 - 996/(x+6)

Answer:

The answer is D

Step-by-step explanation:

Suppose a city with population 500,000 has been growing at a rate of ​7% per year. If this rate​ continues, find the population of this city in 21 years?

Answers

Answer:

2,070,281

Step-by-step explanation:

let x = number of years

let y = population

Given:

initial population = 500000rate of increase = 7%

y = 500000 × 1.07^x

when x = 21:

y = 500000 × 1.07^(21) = 2070281.187... = 2,070,281

A farmer is placing fencing material around her triangular garden. The vertices of her garden are located at the points (−1, 5), (4, 2), and (9, −4) on a coordinate grid. If each unit on the grid represents a foot and the material costs $8 per foot, how much will she pay for the material on the side between points (−1, 5) and (4, 2)?

Answers

Answer:

[tex]Cost= \$47[/tex]

Step-by-step explanation:

Given

Vertices: (−1, 5), (4, 2), and (9, −4)

Cost per foot = $8

Required

Determine the cost of fencing (-1, 5) and (4, 2)

First, we need to determine the distance between (-1, 5) and (4, 2)

Distance, d is calculated as follows:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Where

[tex](x_1,y_1) = (-1, 5)[/tex]

[tex](x_2,y_2) =(4, 2)[/tex]

So, we have:

[tex]d = \sqrt{(4 - (-1))^2 + (2 - 5)^2}[/tex]

[tex]d = \sqrt{(4 +1))^2 + -3^2}[/tex]

[tex]d = \sqrt{5^2 + -3^2}[/tex]

[tex]d = \sqrt{25 + 9}[/tex]

[tex]d = \sqrt{34}[/tex]

[tex]d = 5.83095189485[/tex]

[tex]d = 5.831[/tex] -- Approximated;

If the cost of 1 foot is $8.

5.831 feet will cost:

[tex]Cost= 5.831 * \$8[/tex]

[tex]Cost= \$46.648[/tex]

[tex]Cost= \$47[/tex] -- Approximated

Cindy has decided to lease a car. the lease includes a money factor of 0.00354. what interest rate is cindy being charged in her lease? a. 0.85% b. 8.5% c. 1.475% d. 14.75%

Answers

The interest rate Cindy will be charged is approximately 8.5%.

What is money factor?

The money factor or lease factor is a method for determining the financing charges on a lease with monthly payments. The money factor can be translated into the annual percentage rate (APR) by multiplying the money factor by 2,400.

Money factor = 0.00354

So, the interest rate Cindy will be charged = 2400* 0.00354

The interest rate Cindy will be charged = 8.496% ≈8.5%

Therefore, The interest rate Cindy will be charged is approximately 8.5%.

To get more about the money factor visit:

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Answer:

B.

Step-by-step explanation:

edge 2023

What is 1+1? Answer please

Answers

Answer:

1+1=2

Step-by-step explanation:

Yess!!!! I have solved this biggest problem....lol

Answer: 2

Step-by-step explanation: if I were to draw 1 circle then add another circle. Then I would count the circles and get 2.

“A football is punted into the air. It’s height in feet is found by using the equation h(T) = -5t squared +27.5t+2.5, where T represents the time in seconds and h(T) represents the height of the football in feet. How high does the football get. Round to the nearest thousandth”

Answers

How high the football gets is a function of the maximum height of the ball

The football goes 40.313 ft high

How to calculate how high the football get

The equation that models the height of the ball is given as:

[tex]h(t) = -5t^2 +27.5t+2.5[/tex]

Differentiate the function

[tex]h'(t) = -10t +27.5[/tex]

Set to 0

[tex]-10t +27.5 = 0[/tex]

Collect like terms

[tex]10t =27.5[/tex]

Divide by 10

[tex]t =2.75[/tex]

Substitute 2.75 for t in [tex]h(t) = -5t^2 +27.5t+2.5[/tex] to calculate how high the ball get

[tex]h_{max} = -5 * 2.75^2 +27.5 * 2.75+2.5[/tex]

[tex]h_{max} = 40.3125[/tex]

Approximate

[tex]h_{max} = 40.313[/tex]

Hence, the football goes 40.313 ft high

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Can somebody pls help me with this. I would really appreciate if you would be willing to take time out of your day to help me.

Answers

for question 1) you need to first turn the mixed fraction into an improper fraction: 2 10/12= 2+10=12, 12x12 (you times it by 12 because 12 is the denominator) =144/12 for the second one which you need to add on to that, 3 3/12 you would do 3+3= 6 (you add it by 3 because 3 is your numerator) then you times 6 by 12 (6x12) which is 72 which means your answer is 72/12. now add them both up, 144/12 + 72/12 = 216/12. if they ask you to convert your answer fully, it would be 18 because 216 divided by 12 which is 18. hope this helps:)

help meh pllllllllllllllzzzzzzzzz

Answers

Answer:

[tex]\frac{2,000}{365}[/tex]=[tex]\frac{x}{500}[/tex]

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