What are the coordinates of the point on the directed line segment from (−1,−8) to (5,−2) that partitions the segment into a ratio of 1 to 2?
I need help quick

Answers

Answer 1

Answer:

There are two possible options: [tex]P(x,y) = (1, -6)[/tex] or [tex]P(x,y) = (3, -4)[/tex].

Step-by-step explanation:

There are two possible options depending on what the point of origin is. Vectorially speaking, we can determine the coordinates of the point that partitions the segment is described below:

[tex]P(x,y) = A(x,y) + r\cdot [B(x,y) - A(x,y)][/tex] (1)

Where:

[tex]A(x,y)[/tex] -  Point of origin.

[tex]B(x,y)[/tex] - Point of destination.

[tex]r[/tex] - Partition factor.

Option 1: [tex]A(x,y) = (-1, -8)[/tex], [tex]B(x,y) = (5, -2)[/tex], [tex]r = \frac{1}{3}[/tex]

[tex]P(x,y) = (-1, - 8) + \frac{1}{3}\cdot [(5,-2)-(-1,-8)][/tex]

[tex]P(x,y) = (-1, -8) + \frac{1}{3}\cdot (6,6)[/tex]

[tex]P(x,y) = (-1,-8) + (2,2)[/tex]

[tex]P(x,y) = (1, -6)[/tex]

Option 2: [tex]A(x,y) = (5,-2)[/tex], [tex]B(x,y) = (-1,-8)[/tex], [tex]r = \frac{1}{3}[/tex]

[tex]P(x,y) = (5,-2) + \frac{1}{3}\cdot [(-1,-8)-(5,-2)][/tex]

[tex]P(x,y) = (5,-2) +\frac{1}{3}\cdot (-6,-6)[/tex]

[tex]P(x,y) = (5,-2) +(-2,-2)[/tex]

[tex]P(x,y) = (3, -4)[/tex]

There are two possible options: [tex]P(x,y) = (1, -6)[/tex] or [tex]P(x,y) = (3, -4)[/tex].


Related Questions

It's for my sister she wants me to do it HELP HER

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Answer:

I think its the second one

Step-by-step explanation:

Sorry if im wrong

what is the midpoint of AC on the grid below​

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Answer:

(-1,1)

Step-by-step explanation:

Answer:

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Step-by-step explanation:

How much wood do you need to build a frame around a picture that is 8 inches tall and 10 inches wide?

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Answer:

36 inches of wood

Step-by-step explanation:

8+8+10+10= 36

It’s 36 inches of wood

Park visitors
100
150
200
250
300
350
1) What was the range of the number of park visitors each day?
visitors
Submit

Answers

Answer:

The answer is 225

Step-by-step explanation:

Because you first need to subtract 350-125 and you get 225

this is a tricky one
find the value of x in this equation??
4/6x−1=9−1/6x
(the numbers with the / is a fraction btw)

Answers

X = 12 , just solved it right now :)


The question says find the missing angles HELPP

Answers

Answer:

y: 71 degrees

z: 71 degrees

v: 71 degrees

x: 54.5 degrees

w: 54.5 degrees

Step-by-step explanation:

Ok, I might be wrong, please don't hate me!!!!

Since all triangles are 180 degrees, you can find all the measure while knowing only one angle measure.

To find y and z, you need to subtract 180 degrees by 38 degrees:

180 - 38 = 142

Since there are two angles, you need to divide the answer by 2.

142 / 2 = 71 degrees.

Since y and v are directly across from each other, they are the same measure (71 degrees).

With measures x and w, you do the same process of subtracting 180 by the value you know.

180 - 71 = 109

Then divide by 2.

109 / 2 = 54.5 degrees.

Please help NO LINKS/WEBSIGHTS plz and will mark brainiest if right :)

Answers

Answer: 4/5

Step-by-step explanation: We are finding sin C so that means we should divide the opposite side of angle c by the hypotenuse of the triangle. (Soh Cah Toa). The opposite side of angle c is 28 and the hypotenuse is 35. The answer is 28/35 which simplifies into 4/5. hope this helps gg

Find the Quadrant in which csc x< 0 and tan x > 0

Answers

Answer:

The chosen topic is not meant for use with this type of problem. Try the examples below.

( − 9 , − 7 )

(-4,7)

(1,3)

On an airplane flight, Steve watched a display that showed the number of minutes since the flight took off and the number of miles away from the destination. He recorded various points and fit the line y = 2,426 – 8x to the data, where x is the number of minutes flying and y is the number of miles from the destination. According to the model, how far was Steve from his destination after 120 minutes of flying?​



A 960 miles​

B 1,466 miles​

C 2,410 miles​

D 3,386 miles​




show your work
I need help

Answers

you would first plug the 120 minutes into the x’s position, bc the x represents the # of minutes flying as said, so your equation would be “y=2,426 - 8(120)”, now we follow PEMDAS and multiply first, leaving our equation to “y=2,426 - 960”, now subtract and youll be left with “y=1,466” , so B :)

Am I correct? or what is the right answer?

Answers

you are

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

I only solved your previous doubt

let us check option by option

A)here 1300÷628 makes the statement 1300 divided by 628

E)here 1300 makes the statement 1300 divided by 628

628____

F)here 628 |1300 makes the statement 1300 divided by 628

(here in bit F 1300 is the dividend not 628 ok)

so the options B,C,D are oposite of A,E,F so b,c,d are correct

hope it helps you

please mark me as brainlist

What is the Mean, Median, Mode, and Range for number 3

Please help

Answers

Answer:

Mean: 49

Median: 41

Mode: 45

Range: 70

Step-by-step explanation:

To find the mean: add up all the numbers, then divide by how many numbers there are.

To find the median:

Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

To find the mode: The mode of a data set is the number that occurs most frequently in the set.

To find the range: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest.

What is the IQR of:
45, 32, 62, 26, 22, 29

Answers

Answer:

The first quartile is 26.

The third quartile is 45

The median is 30.5

The interquartile range is 19.

Hope that helped :)

Step-by-step explanation:

PLEASE HELP!
Solve the quadratic equations. Show all steps
[tex]1.) 2(x+1)^2=32\\2.)3(x-4)^2=30[/tex]

Answers

Answer:

1.)x=-5, x=3

2.)√10+4, x=√10+4

Step-by-step explanation:

1.) 2(x+1)^2=32

(x+1)^2=16

x+1=±4

x=1=-4

x=1=4

x=-5, x=3

2.)3(x-4)^2=30

(x-4)^2=10

x-4=±√10

x-4=-√10

x-4=√10

x=-√10+4, x=√10+4

2xyz - 3xy2z - 5x3z

help me please

Answers

Answer:

2xyz - 3x[tex]y^{2}[/tex]z-5[tex]x^{3}[/tex]z

Step-by-step explanation:

Plz helps brainlist and points also Q's in the photo its math

Answers

answer :

A, C, and D

hope this helps:)

Tim's family toured the Astronaut Hall of Fame from 2:05P.M. To 2:45 P.M. Explain how you know that the tour was more than 30 minutes.

Answers

Answer: See explanation

Step-by-step explanation:

Since Tim's family toured the Astronaut Hall of Fame from 2:05P.M. To 2:45 P.M, the time taken during the tour will be:

= 2.45 pm - 2.05pm

= 40 minutes.

Since Tim's family toured the Astronaut Hall of Fame for 40 minutes, this shows that they spent more than 30 minutes during the tour.

find the measure of angle b (image below)

Answers

Answer:

123+b=180 (being sum of straight angle)

b=180-123

b=57

HELPP ME PLEASEEE!!!
don’t put those link/file things it gives me ur info and i can hack;)

Answers

Answer:

2 x ( -4 ) = -8

Step-by-step explanation:

2 x 4 = 8

a negative x a positive = negative

so therefore the answer is -8

How to do this work

Answers

Answer:

26x+32

Step-by-step explanation:

2(3x+5+10x+11)

6x+10+20x+22

26x+32

Answer:

if yiu want to expand it is solved as the following :

V: 2(13 x +15 )

=26x +30

Step-by-step explanation:

if you want to solve 26x + 30=0

26x =30

x =30÷26=1.15

During his NBA career, Larry Bird made approximately 89% of all free throws. Suppose Larry
makes 10 free throws in a row. Assuming each free throw is independent, what is the
probability he will make the next free throw?
(a) 0.11
(b) 0.50
(c) 0.01
(d) 0.89

Answers

Answer:

0.89

Step-by-step explanation:

The probability of Larry making the next free throw is, 0.89

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one

Now, we can assume that Larry Bird has a 89% chance of making any given free throw.

Since, each free throw is an independent event, the fact that he made 10 free throws in a row does not affect the probability of him making the next free throw.

Therefore, the probability of Larry making the next free throw is also 89%.

Thus, the probability of Larry making the next free throw is, 0.89

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https://brainly.com/question/13604758

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Solve each equation by using the Quadratic Formula. Round to the nearest tenth if necessary.


x^2 – 6x + 7 = 0

Answers

Answer:x=3±√2

Decimal Form:

x=4.41421356

Step-by-step explanation:

:D

find dy/dx in the following
1) y= sin x+ e^{x}
2) y= e^{x}-1/x+㏒e x

Answers

Answer:

2,6323

Step-by-step explanation:

A CD usually sells for $14.00. If the CD is 20% off, and sales tax is 7%, what is the total price of the CD, including tax?

Answers

Answer:

the total price of the CD including tax is $11.984

Step-by-step explanation:

The computation of the total price of the CD including tax is shown below:

The Selling price of the CD is $14

CD is 20% off

And, the sales tax rate is 7%

So, the total price of the CD is

= ($14 - $14 × 20%) × (1.07)

= $11.2 × 1.07

= $11.984

Hence, the total price of the CD including tax is $11.984

Find mMK................

Answers

Answer:

Approximately mMK is 53 degrees

Step-by-step explanation:

Here, we want to find the length of MK

As we can see, we have a right triangle at LNK

so

let us find the angle at L first

9 is adjacent to the angle at L and also, 15 is the hypotenuse of the angle at L

so the trigonometric identity that connects adjacent to the hypotenuse is the cosine

It is the ratio of the adjacent to the hypotenuse

So;

cos L = 9/15

L = arc cos (9/15)

L = 53.13 degree

Approximately, L = 53 degrees

so now, we want to get the arc length MK

We are to use the angle-arc relationship here

Using this; arc length MK is equal to the measure of L at the center which is 53 degrees

Can someone please help me with this.

Answers

Answer:

use a calculator so the multiple choice question isn't a cd

If the cost of production is 20 per 17 inches ^2. why does the dough cost $2 and not say
$27 ($2*7') ?

Answers

Answer:

111.32 Answer =)

1Step-by-step explanation:

Solve Question!

6 = 2y/3


Y=

Answers

Solve for y by simplifying both sides of the equation, then isolating the variable.
Y = 9

Answer:

y=9

Step-by-step explanation:

So 2y=19

y=9

Find the value of y.
120°

Answers

Answer:

y = 60°

Step-by-step explanation:

The tangent- chord angle y is half the measure of its intercepted arc , then

y = [tex]\frac{1}{2}[/tex] × 120° = 60°

The value of y is 60 °

What is the tangent- chord angle theorem?"The angle generated by a tangent to a circle and a chord is equal to half the angle measure of the intercepted arc," is another way to state the Tangent-Chord theorem. Since the angle measure of an intercepted arc is double that of the inscribed angle that subtends it, this is equivalent to what we have demonstrated.The measure of an angle formed by a tangent and a chord meeting at the point of tangency is half the measure of the intercepted arc.

Given , the angle is 120°

Now apply the  tangent- chord angle theorem, " a chord meeting at the point of tangency is half the measure of the intercepted "

y = 1/2 × 120°

y = 1/2 × 120° = 60°

Therefore, the value of angle y is 60°.

Learn more about the Tangent-Chord theorem brainly.com/question/2193714

#SPJ2

Alek and Ann start walking around a track at the same time and at the same place. It takes Ann 6 minutes to walk around the track, and it takes Alek 8 minutes. After how many minutes will they reach the starting point at the same time

Answers

Answer:

3 3/7 minutes

Step-by-step explanation:

This calculated using the formula:

1/x + 1/y = 1/n

Where

x = Number of minutes it took Ann to walk = 6 minutes

y = Number of minutes it took Alek to walk = 8 minutes

n = Number of minutes it would take An and Alek to reach the starting point at the same time

1/6 + 1/8 = 1/n

Lowest Common Denominator = 24

4 + 3/24 = 1/n

7/24 = 1/n

Cross Multiply

7n = 24

n = 24/7

n = 3 3/7 minutes

It would take them 3 3/7 minutes to reach the starting point at the same time.

what is 8,419 divided by 3

Answers

Answer:

2806.33333333

Step-by-step explanation:

Answer: 2806.3333333 (the 3 is repeating)

Step-by-step explanation:

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