What are the coordinates of the point on the directed line segment from (-10, -3)
to (-3, -3) that partitions the segment into a ratio of 3 to 4?

Answers

Answer 1

9514 1404 393

Answer:

  (-7, -3)

Step-by-step explanation:

The point is the weighted sum of the end point coordinates. The weights are the reverse of the adjacent segment proportions.

  P = (4(-10, -3) +3(-3, -3))/7 = (-40-9, -12-9)/7 = (-49, -21)/7

  P = (-7, -3)

The point that partitions the segment in the desired fashion is (-7, -3).

_____

Alternate solution

The given segment can be recognized as a horizontal segment of length 7. Then the desired point is 3 units from the first end, so at (-10+3, -3) = (-7, -3).


Related Questions

6. Los divisores de 28 son:
a. D28 = { 1, 2, 3, 7, 9, 28}
b. D28 = {1,2,5, 8, 14,28}
c. D28 = {1, 2, 4, 7, 14, 28}​

Answers

Answer:

C

Step-by-step explanation:

28/1 = 28.

28/2 = 14.

28/4 = 7.

28/7 = 4.

28/14 = 2.

28/28 = 1.

etc.

- Identify a pair of alternate exterior angles.
1
2
8
3
3
7
4
6
3
O <3 and 24
O_1 and 2
O_1 and 26
OL2 and 26

Answers

Answer:

should be angle 2 and angle 6

The answer is D can I have Brainlyest

Yesterday Ali caught 12 bugs. Today he caught 17 bugs. How many fewer bugs did Ali catch yesterday than today?

Answers

The answer to your question is 5

Answer:

5 bugs

Step-by-step explanation:

You would use subtraction to find the difference: 17 - 12 = 5

if you deposit $500 in an account that earned 3% interest each year, how much would you have in total after 5 years?

Answers

500 divided by 3 is 15. 15 times 5 is $75

An investor has an account with stock from two different companies. Last year, her
stock in Company A was worth $800 and her stock in Company B was worth $6180.
The stock in Company A has decreased 1% since last year and the stock in Company B
has decreased 5%. What was the total percentage decrease in the investor's stock
account? Round your answer to the nearest tenth (if necessary).

Answers

Answer:

4.5%

Step-by-step explanation:

800(1-0.01)=\color{green}{792}

800(1−0.01)=792

6180(1-0.05)=\color{blue}{5871}

6180(1−0.05)=5871

Last Year This Year

Stock A 800 792

Stock B 6180 5871

Total 6980 6663

\text{Find overall decrease:}

Find overall decrease:

6980(1-r)=6663

6980(1−r)=6663

\frac{6980(1-r)}{6980}=\frac{6663}{6980}

6980

6980(1−r)

=

6980

6663

1-r=0.954585

1−r=0.954585

-r=-0.045415

−r=−0.045415

Subtract 1

r=0.045415

r=0.045415

Divide by -1

\text{Final Answer: }4.5\%

Final Answer: 4.5%

Multiply by 100 and round to nearest 10th

rewrite -3(5u+5)+10u in simplest form

Answers

Answer:

-5u-15

Step-by-step explanation:

-3(5u+5)+10u

-15u-15+10u

-5u-15

Remove the parentheses and distribute-3 through the parentheses you get -15u-15+10u
Collect the like term which is -15u and 10u
You get -5u-15 which is your answer

Round 342.296269789 to 2 decimal places.

Answers

Answer:

342.29

Step-by-step explanation:

You take away the other decimal places.

The round-up to  2 decimal places of 342.296269789 will be 342.30.

How do round any digit?

To round up or down of tens place then we need to look at the unit place if it is less than 5 then we need to round down and if it is greater than 5 then we need to round up of tens digit.

In order to round to a hundred, we need to look at the tens digit if it is less than 5 then we round down and if it is 5 or greater than 5 then we will round up.

For example round of 346 will, be350 and round of 344 will be 340

Given the digit,

342.296269789

Now,

The 3rd decimal digit is 6 which is greater than 5

So,

2nd digit will round up since it is 9 so it will round as 10 and gives 1 to the first decimal place.

So,

342.296269789 ⇒ 342.30.

Hence "The round-up to  2 decimal places of 342.296269789 will be 342.30".

To learn more about rounding a digit,

https://brainly.com/question/116595

#SPJ2

A bottling company produces bottles that hold 10 ounces of liquid. Periodically, the company gets complaints that their bottles are not holding enough liquid. To test this claim, the bottling company randomly samples 64 bottles and finds the average amount of liquid held by the bottles is 9.9145 ounces with a standard deviation of 0.40 ounce. Suppose the p-value of this test is 0.0436. State the proper conclusion. choose from below and explain why.
A) At α = 0.05, reject the null hypothesis.
B) At α = 0.10, fail to reject the null hypothesis.
C) At α = 0.025, reject the null hypothesis.
D) At α = 0.05, accept the null hypothesis.

Answers

Answer:

A) At α = 0.05, reject the null hypothesis.

Step-by-step explanation:

Given a p-test value of 0.0436 ;

P-value = 0.0436

Recall :

Decision region :

Reject Null if p value < α

Testing the options :

A) At α = 0.05,

0.0436 < 0.05 (true)

Since p value < α ; Reject the null hypothesis.

B) At α = 0.10,

0.0436 < 0.1

True conclusion is to reject the Null Hypothesis

Hence, option B is incorrect.

C) At α = 0.025, reject the null hypothesis.

0.0436 > 0.025

True conclusion is ; Fail to reject the Null ;

Hence, option C is incorrect

D) At α = 0.05, accept the null hypothesis.

0.0436 < 0.05

True conclusion is ; reject the Null

Hence, option D is incorrect

Determine whether the ratios 5:7 and 10:21 are equivalent

Answers

Answer:

Step-by-step explanation:

No, thoose two ratios are not equivalent, but I can show you the ones that are  equivalent, {You can write 5/7 or 10/14 or 20/28 or 40/56. There! 3 equivalent ratios.}

The sales tax in Whittle City is 7%, how much tax is charged on a purchase of $53?

Answers

Answer:

3.71$

Step-by-step explanation:

Answer:

$3.71 hope this helps

Step-by-step explanation:

Which is equivalent to square root 8 to the third power

Answers

Answer:

Step-by-step explanation:

IMPORTANT: ∛8ˣ is not the square root of 8³.  ∛ means cube root.

∛x = x^(⅓)

What is the slope and y-intercept of the line y - 2x = 8

Answers

Answer:

Slope is 2x and y-intercept is 8

Step-by-step explanation:

First you have to get y all by itself on the left side of the equal sign. To do that, you must add 2x on both sides. You will get: y=2x+8.

Answer:

Slope= 2

Y-intercept= (0,8)

Two sailboats and their triangular sails are shown in the image below.
The top angles of the two sails are congruent. Based on the information in the image, what is the height of the smaller sail
10.1
11.025
5.9
6.4

Answers

Answer:

6.4 i promise

Step-by-step explanation:

Answer: 6.4

Step-by-step explanation:



In 2010 there were 2000 American lions in a conservation park in Wisconsin. The lion population is decreasing
by 8% every year. Which of the following functions models the lion population after x years?

Answers

Step-by-step explanation:

After each year, the new population of the lions is 100% - 8% = 92% of the population of the lions the year before.

Hence our exponential base should be 0.92, indicating exponential decay. (A)

Answer:

after each year the new population of the lions

is 100% - 8% is equals to 92% of the population of the lion year before

Hence our exponential base should be 0.92 (A)

Guys I’m struggling help please ! I need by tomorrow!

Answers

Answer:

if you are not finding the function but the range:

(i cant see the full graph so the first part may not be accurate)

[tex]-8\leq y\leq 4[/tex]

[tex]y=3[/tex]

[tex]2<y\leq -4[/tex]

The sum of two numbers is 54. The smaller number is 14 less than the larger number. What are the numbers?
Larger number:
Smaller number:

Answers

Answer:

larger number: 34

smaller number: 20

Step-by-step explanation:

54= y+y-14

54= 2y - 14

54+14 = 2y

68 = 2y

68/2 = 2y/2

34 = y, the larger number

y - 14 = 34-14 = 20 the smaller number


Graph x < or = to -4.5 on the number line

HELP ME PLS ASAP PLS PLZ PLS HELP

Answers

Answer:

it would be a closed circle and to the right

Step-by-step explanation:

I have a little tip whenever the greater or less than sign is underlined it will always be closed, and when x is greater than -4.5 all the numbers that are greater than -4.5 will be on the right side so that will be your answer.

Which pair of binomials gives a product that is a perfect square trinomial?
A. (2x – 3)(2x – 2) C. (2x + 3)(2x + 3)
B. (2x + 2)(2x – 2) D. (2x + 3)(2x – 3)

Answers

Step-by-step explanation:

For the pair of binomials to give a product of a perfect square trinomial, the pair of binomials must be exactly the same.

The answer is (2x + 3)(2x + 3). (C)

Jerry’s teacher wants him to draw a triangle. He starts by drawing a line 15 cm long and two angles 35º and 65º. What will the third angle measure?

Answers

Answer:

the total must be 180

40 + 70 + X = 180

the third one is = D.70

Step-by-step explanation:

Answer:

80 degrees

Step-by-step explanation:

angles in a triangle add up to 180 degrees

35+65=100

180-100=80 degrees

Is 24a+16b+8 equivalent to 4(6a+2) +8b+ 2

Answers

Answer:

No

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

HELP!!!!!

Find the value of x.

Answers

Answer:

70

Step-by-step explanation:

formula we will be using: [tex]\sqrt{y} (y+z)[/tex]

7 (7+3)

7 · 10 = 70

Saved
Autocracies have rules along with a court system and free press

Question 5 options:
True
False

Answers

Answer:

True

Step-by-step explanation:

What would the radius be?

Answers

Answer:

6m

Step-by-step explanation:

How do we find the measure of one interior angle of a poly?

Answers

Answer:

In order to find the value of the interior angle of a regular polygon, the equation is (n−2)180∘n where n is the number of sides of the regular polygon

Hope that helped

Sally painted a picture that has an area of 480 square inches. The length of the painting is 1 1/5 its width. Which of the following could be the dimensions of Sally's painting?

Answers

L = (1⅕)W= (6/5)W
LW = 480 in²
(6/5)W² = 480
W² = 480 × ⅚ = 400
W = 20 in
L = (6/5)W =24 in

Which expression would produce the greatest product?
A.10x12/22. B.10x4/5. C.10x9/10. D.10x3/2.

Answers

Answer:

c.

Step-by-step explanation:

Find the measure of angle C

Answers

65 degrees
90-25 = 65

please help!!! if you can thank you so much and have a bless day!!!!

Answers

Answer:

6

Step-by-step explanation:

It takes 80 oz of grass seed to seed 5600 ft? of lawn. At this rate, how much would be needed for 8400 ft of lawn?

Answers

Answer:

120 oz

Step-by-step explanation:

5600/80 = 70 rate

8400/ 70 = 120 oz

help with B please for 20 points!!!

Answers

Answer:

a) agree, it's experimental

b) 5/20 + 2/20 = 7/20

Step-by-step explanation:

Other Questions
a = (1/5)b = (6/-3)Work out 4a + b Fill in the blank with the correct verb form in the imperfect. Do not use capitals.Be sure to include your accent marks. Copy and paste as needed: De vez en cuando, mis padres _____ (ver) pelculas de terror. HEEEEELLLP!!! WILL MARK BRAINLIEST Hint: Not Dover Adding up inches in a perimeter Which ordered pair is NOT included in a graph of y=x+5? please help................. Pls help me with this math..... its kind of easy... In a school, there are 880 students intotal. If there is 20% more boys thangirls, find the number of boys and girls in the school 1. What is the least common multiple of 10 and 20? Convert 6.3 m to millimeters The diagram below shows a model of four waves. An image of four waves labeled W, X, Y, Z is shown. Wave W has the smallest distance from crest to crest across the length of the wave. Wave Z has the largest distance from crest to crest across the length of the wave. Wave X has a larger distance from crest to crest than Wave W but are not as far apart as Wave Y. Wave Y has a larger distance from crest to crest than Wave X but not as far apart as Wave Z. Which wave has the lowest frequency? W X Y Z The yearbook team is designing the pages for school clubs sothat the layouts are all the same. The dimensions shown are irinches. Different team members think about the total area ofthe page in different ways.a. Paulo thinks of the area of the page as the productof the total length and the total width.Complete Paulo's expression. (_____+3)*(4+_____) What was the global economy like after world war 1 PLZ HELP ME I DON'T KNOW What is the percent by weight (w/w%) of sugar in soda? Assume the average mass of sugar in soda is 23.0 g and the total mass is 370.0 g. Tariffs and quotas are alike because they both___A. increase trade between countries.B. stop all trade between countries.C. restrict trade between countries.D. make trade between countries easier. Can you guys help me with the second one please :( . Ill mark you as a brainliest evaluate f(x)=x/x-5 when x=3 NEEEEEEDD HELLLLPPP ASAPPPP what percent is 25 out of 72