Point A is located at (2, 6) and point B is located at (18, 12). What point partitions the directed line segment ​AB¯¯¯¯¯​ into a 2:3 ratio?
A. (8 2/5, 8 2/5)
B. (10 1/2, 10 1/2)
C. (11 3/9, 9 3/5)
D. (14 1/2, 12)

Answers

Answer 1

Answer:

  A. (8 2/5, 8 2/5)

Step-by-step explanation:

You want to find point P such that ...

  AP : PB = 2 : 3

  3AP = 2PB . . . . . . . . cross multiply

  3(P -A) = 2(B -P) . . . recognize length XY = Y - X

  5P = 3A +2B . . . . .  collect P terms

  P = (3A +2B)/5 = (3(2, 6) +2(18, 12))/5 = (6+36, 18+24)/5= (42, 42)/5

  P = (8 2/5, 8 2/5) . . . . matches choice A


Related Questions

Can someone help me Expand 3(z+2)

Answers

Answer: 3z+6

Step-by-step explanation:

(3) (z+2)

(3) (z)+(3) (2)

3z+6

1. A scuba diver wants to dive more than 2 1/2, times his previous deepest dive. That means he has to dive at least 80 feet below the surface of the ocean. This dive is represented by the inequality 2 1/2p < -80, where p is the distance below the surface of his previous deepest dive.
The scuba driver's previous deepest dive was ____ feet below the surface of the ocean.
________________________________

Veronica live on a straight road that goes east and west. She starts from a point 5.1 miles west of her home and drives a certain distance to the store the store is more than 3 and 1/2 miles east of her home. let D represent the distance Veronica drove. which inequality represents this situation?
A. -5.1 + d > 3 1/2
B.-5.1 + d > -3 1/2
C.-5.1 + d > 3 1/2
D.- 5.1 + d > -3 1/2

________________________________

Alex needs to represent the statement as an inequality half of a number is more than 1 and 1/3

Answers

The questions can be represented on a number line so that they become more clear and meaningful. The answers to each question are:

1. The scuba diver's previous deepest dive was 32 feet below the surface of the ocean.

2. Option A. -5.1 + d > 3.5 OR C. -5.1 + d > 3.5

3. Alex would represent it as: [tex]\frac{1}{2} n[/tex]  > [tex]1\frac{1}{3}[/tex]

A number line is a system that can be used to show the positions of all directed numbers.

Thus, the solutions to the given questions are stated below:

1. Let the scuba diver's previous deepest dive be represented by d . Such that,

2.5 d = - 80 .......... 1

So that;

d + p = -80 ............ 2

From equation 1,

2.5 d = -80

d = -32 feet

From equation 2,

-32 + P = - 80

p = -80 + 32

  = -48 feet

p = -48 feet

⇒ -32 + (-48) = -80

Therefore, the scuba diver's previous deepest dive was 32 feet below the surface of the ocean.

2. This situation can easily be represented by a number line, so that Veronica's home is located at point zero of the number line.

Then, the total distance that Veronica drove, d = (5.1 + 3.5) miles

                                                         = 8.6 miles

Thus, since the distance to the store is more than 3.5 miles east of her home,  thus the appropriate inequality that represents the situation is:

   -5.1 + d > 3.5

The correct option is: A or C

3. Let the number be represented by n, so that:

[tex]\frac{1}{2}[/tex]n  > [tex]1\frac{1}{3}[/tex]

Alex would represent the statement as: [tex]\frac{1}{2} n[/tex]  > [tex]1\frac{1}{3}[/tex]

Visit: https://brainly.com/question/17800079

can someone please help​

Answers

E, C, F are the answers.

Two trains leave a train station traveling on parallel and adjacent tracks. Train A is traveling due north at a constant speed of 76 miles per hour. Train B is traveling due south at a constant speed of 44 miles per hour. If both trains leave the station at the same time, in approximately how many minutes will the trains be 22 miles apart? O 11 O 18 O 60 o 98​

Answers

Answer:

TWO TRAINS IM SORRY LOLLL

Answer:

18 minutes

Step-by-step explanation:

How does a woman being treated as a servant for a man show that equality between men and women is not being promoted?? PLS HELP; I’ll give brainliest :)

Answers

Answer:

because the woman is doing what the man tells her to and its not the other way around but it should be men and woman are either both servants or neither are servants

Step-by-step explanation:

Answer:

because woman were house wife's they took care of the meals for the family, take care of the children, and make things for the family

Step-by-step explanation:

the locus of all points that are the same distance from (3,-2) and (3,4) is one straight line. Draw this straight line

Answers

Answer:

No answer i can provide

Step-by-step explanation:

If you need to make a line on a graph, you need to plot at least 2 points. Luckily, the two points have been given.

Plot the points on your graph. for your first coordinate, go 3 over and down 2. for your second point, go over 3 and up by 4. for the line, draw it through your 2 points.

Hope this helps!

Answer:

line is y = 1

Step-by-step explanation:

the question is talking about loci, in this case 2 point

these 2 points are (3,-2) and (3,4)

draw a line to connect these to points and bisect the line.

to do this use a compass : put the compass more than half way and place it one the first point - draw an arc .

then draw another arc at the sencond point

were the 2 arcs meet draw a line - this straight line will be the answer.

y = 1

Use the long division method to find the result when 6x^3+ 23x^2 + 15x + 28 is
divided by 2x + 7

Answers

The answer is:

3x^3+x+4.

Hope this helped!! :)

What is the length of the hypotenuse? If necessary, round to the nearest tenth.

Answers

Answer:

17

Step-by-step explanation:

Answer:

The hypotenuse is 17.

Step-by-step explanation:

a^2+b^2=c^2.

Let's plug in a and b.

15^2 + 8^2 = c^2

Simply.

225+64=c^2

Add.

289=c^2.

Square 289 and c^2 to cancel out the ^2.

17=c

The hypotenuse is 17.

Hope I helped. :)

5. A factory produces 1000 cans of juices in 5 days. How many cans will it produce in 15
days?

Answers

Answer:

3000

Step-by-step explanation:

2^-3 x 3^-2

what’s the answer?

Answers

Answer:

1/72

Step-by-step explanation:

[tex]2^{-3} * 3^{-2} =[/tex][tex]1/2^3 * 1/3^2 =[/tex][tex]1/8*1/9=[/tex][tex]1/72[/tex]

[tex]\\ \sf\longmapsto 2^{-3}\times 3^{-2}[/tex]

[tex]\\ \sf\longmapsto( \dfrac{1}{2})^3\times( \dfrac{1}{3})^2[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{8}\times \dfrac{1}{9}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{72}[/tex]

David can type 90 words a minute.
How many words can be typed in 9.5 minutes?

Answers

Answer:

855

Step-by-step explanation:

90x9.5=855

Answer:

See below:

Step-by-step explanation:

So we know that in 1 minute he can type 90 words.

To solve for 9.5 minutes, what we can do is first multiply 90 by 9 to get 810.

We then can multiply 90 by 0.5 as we are using the distributive property.

After that, we get 810 + 45 which is 885 words in 9.5 minutes.

What is the remainder when the polynomial 8x2 4x−3 is divided by 2x−1?.

Answers

Answer:

Did the quiz :)

Step-by-step explanation:

Answer:

the answer is 1

Step-by-step explanation: i took the test hope this helps

I wmat to sleep been doing work for an hour help me out

Answers

Answer:

A. 23, 37.....

B. 26, 42......

Step-by-step explanation:

have a great day!

Which accurately shows how to use inverse operations to find the value of a in a + 5 = 14?

Answers

Answer:

9

Step-by-step explanation:

Which accurately shows how to use inverse operations to find the value of a in a + 5 = 14?

if a + 5 = 14 just subtract 5 from 14

a + 5 = 14

a = 14 - 5

a = 9

------------check

9+5=14

14=14

the answer is good

Select the choice that translates the following verbal phrase correctly to algebra: (1 point)

the product of 12 and y increased by 11
12(y + 11)
12y + 11
12 + 11y
12(11y)

Answers

Answer:

[tex]⟼12(y + 11)[/tex]

I need help! In exchange for 100 points. Do not scam me or I will report you!

Answers

I don’t know it 3 and four angle

x-8/2=-14
solve for x

Answers

Answer:

-20

Step-by-step explanation:

-14 x 2 = -28

-28 + 8 = -20

There you go :D

Answer:

-10

Step-by-step explanation:

first Solve for the fraction

-8/2= -4

x-4= -14

next add the negative 4 to 14

x=-10

and there's you're answer!

After working for 6 hours kevin earned 51.00. what is kevin's unti rate

Answers

Answer:

Kevin's unit rate is 8.5.  This means Kevin earns $8.5 ever hour.

Step-by-step explanation:

51.00/6.

Hope this helps! :)

Answer:

He earns 8.5 every hour.

Step-by-step explanation:

You would have to find how much he earns every hour

6:51, divide 6 on both sides

1:8.5, earns 8.5 every 1 hour.

Translate sum of 4 and the quotient of n and 9

Answers

Step-by-step explanation:

The quotient of n and 9:

n / 9

Sum of 4 and the quotient:

4 + (n/9)

Find the perimeter. Simplify your answer.

Answers

Answer:

p=1 2 + 2

Step-by-step explanation:

I have already answered this question. I will paste it below.

Translate the phrase into an algebraic expression.
The product of 6 and c

Answers

Answer:

c x 6 = x

Product judy basically means multiplication.

expand and simplify in its simplest form (x+7)(x-2)

Answers

Answer:

[tex](x + 7) - (x - 2)[/tex]

x²-2x+7x-14

Answer:

x2+5x-14

Step-by-step explanation:

Plz solve. I will give 50 points for whoever gets it right.

Answers

Answer:

This is like multiplication you solve this question and then you can solve the equation

Naomi’s recipe for baked beans calls for 715 cup of kidney beans. Each can of kidney beans holds 145 cups. How many cans of kidney beans will Naomi use to make the recipe?

Answers

Answer:

5 Cans

Step-by-step explanation:

Hoped this helped.

A. Use models to illustrate the given proportion. Do it on your answer sheet. 1) 8:6 = 4:3 2) 15:3 = 5:1 3) 12:6 = 4:2 4) 11: 7 and 44:27 5) 25 eggs to 3 hens and 75 eggs to 9 hens

pls answer it correctly​

Answers

Using models to to illustrate the proportions is similar to reducing or increasing a ratio by a common factor. The solutions to the exercise are given below :

1.)

8 : 6

Reducing each side of the ratio by an half(1/2) :

8 × ½ : 6 × ½

4 : 3

2.)

15 : 3

Reducing each side of the ratio by :

15 × ⅓ : 3 × ⅓

5 : 1

3.)

12 : 6

Reducing each side of the ratio by (one-third) ⅓:

12 × ⅓ : 6 × ⅓

4 : 2

4.)

11 : 7

Increasing the proportion by 4 :

11 × 4 : 7 × 4

44 : 28

5.)

25 eggs : 3 hens

Increasing the number of hens by 3, then egg production will also triple

25 eggs × 3 : 3 hens × 3

75 eggs to 9 hens

Learn more : https://brainly.com/question/25641959

3. Sally invested $5,000.00 in a savings account earning 3.49% simple interest. At the same time
Jon invested $3,000.00 in a money market account at a simple interest rate of 7.5%. How many
years will it take for the two to have the same amount of money in their accounts? How much
money do they have after that time period?

Answers

Answer:

ic hch7y8gygdr6dr6d7twwt7tfx7yuc yc i

The temperature of a substance in an experiment changes by 8.7F from 10 am to 1p.m. At 5p.m., the temperature is 33.5°F. It
is 2/3 of what the temperature was at 1p.m.
What was the temperature at 10 a.m. of the substance?
Enter your answer as a decimal in the box

Answers

Answer:

138

Step-by-step explanation:

Which of the following is NOT a perfect square trinomial?
Group of answer choices

^2+20−100
4^2−20+25
^2+18+81
16^2−24+9^2

Answers

Answer:

x^2+20−100 and 16^2−24+9^2

Step-by-step explanation:

help asap for brainlist

Answers

Answer:

Option D

Step-by-step explanation:

(x + 8) (2x² - 5x - 3)

=> (2x³ - 5x² - 3x) + (16x² - 40x - 24)

=> 2x³ + 11x² - 43x - 24

Hope this helps!

someone please help me

Answers

Answer:

FOURTH ONE DOWN

Step-by-step explanation:

Basically the the format is (vertical / horizontal), so CB and AD are both gonna be denominators (the bottom of the fraction).

** also next time please take a better picture i had to squint my eyes so hard **

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