On a coordinate plane, a line is drawn from point J to point K. Point J is at (negative 15, negative 5) and point K is at (25, 15). What are the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4? x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1 (–13, –3) (–7, –1) (–5, 0) (17, 11)

Answers

Answer 1

Answer:

[tex](x,y) = (-7,-1)[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-15,-5)[/tex]

[tex](x_2,y_2) = (25,15)[/tex]

[tex]m:n = 1:4[/tex]

Required

Determine the coordinate of the partition

This is calculated as:

[tex](x,y) = (\frac{nx_1+ mx_2}{m+n},\frac{ny_1+ my_2}{m+n})[/tex]

Substitute values for x's and y's

[tex](x,y) = (\frac{4*-15+ 1*25}{1+4},\frac{4*-5+ 1*15}{1+4})[/tex]

[tex](x,y) = (\frac{-60+ 25}{5},\frac{-20+ 15}{5})[/tex]

[tex](x,y) = (\frac{-35}{5},\frac{-5}{5})[/tex]

[tex](x,y) = (-7,-1)[/tex]

Answer 2

Answer:

b

Step-by-step explanation:

i think that's right


Related Questions

Suppose that the height H of a Ferris wheel can be modeled by the function n H(t)= -16cos(t/45)+24, where t is the time in seconds. What is the maximum height of a cabin? Use 3.14 for π

Answers

Answer:

40 feet.

Step-by-step explanation:

The height of the Ferris Wheel is modeled by:

[tex]\displaystyle H(t)=-16\cos\Big(\frac{t}{45}\Big)+24[/tex]

Where H(t) is the height (in feet (assuming)) and t is the time in seconds.

Remember that the value of cosine, regardless of the input, will always be between -1 and 1. That is:

[tex]-1\leq \cos(t)\leq 1[/tex]

So, we can use the two maximums. Testing -1 and 1, we get:

[tex]H(t)=-16(1)+24=8[/tex]

And:

[tex]H(t)=-16(-1)+24=40[/tex]

Therefore, the maximum height of a cabin of the Ferris Wheel will be 40 feet in the air.

Notes:

And the minimum height will be 8 feet.

We are not asked to find t. To do so, however, set H(t) = 40 and find the general solution for t.

Shauna needs a new backpack. Tee one she wants cost $28 The store is having a 15% sale off backpacks this Friday What will the price of the backpack be?

Answers

Answer:it should be $23.80

Step-by-step explanation:28/100x85=23.80

3(2h+5)+5h ????????????

Answers

11h+15
multiply out brackets which would get 6h + 15 then add 5h

Answer:

11h + 15

Step-by-step explanation:

3(2h+5)+5h | Given

6h + 15 + 5h | Distribute

11h + 15 | Combine like-terms

Select the correct answer.
Each statement describes a transformation of the graph of y= x. Which statement correctly describes the graph of y= x - 13?
OA. It is the graph of y = x translated 13 units to the left.
OB.
It is the graph of y = x translated 13 units to the right.
OC.
It is the graph of y = x translated 13 units up.
OD. It is the graph of y = x where the slope is decreased by 13.

Answers

Answer:

The translation corresponds to a translation of 13 units to the right

Step-by-step explanation:

Translation of a Graph

If the graph of

y=f(x) is translated a units horizontally, then the equation of the translated graph is

y =f(x - a)

The value of a is considered positive for translations to the right.

The parent function is

y = x

and the given function is

y = x - 13

The translation corresponds to a translation of 13 units to the right

Please explain how you got the answer. Don’t just tell me the answer

Answers

Answer: (4 3/5) x (3 1/2)

23/5  (3 1/2)

23/5 (7/2)

161/10 =

your answer is 16 1/10

Step By-step explanation:

helpppp plssss :))))))((((

Answers

Answer:

a= 80

b= .25

Step-by-step explanation:

We know that a has to equal 80 because

[tex]a(b)^0=80\\a=80[/tex]

We can then just solve for b

[tex]80(b)^1=20\\b=\frac{20}{80} \\b=.25[/tex]

Help please I need to submit soon

Answers

Step-by-step explanation:

(2.3)^2 +5^2= ?

=6^2 +5^2

= 61

Answer:

THXSSSS UUUU SWOOOO MUCHHHHHHH

Step-by-step explanation:

A stick 1 meter long casts a shadow 0.5 meters long. A building casts a shadow 16 meters long. How tall is the building?

Answers

Answer:

I think 8

Step-by-step explanation:

i think 8 because if you have 1 meter with .5 a meter shadow then i would think 16 meters would cast half of itself which would be 8

sorry if im totally wrong

find volume for brainlist

Answers

Answer:

D) V = 192 cm³

Step-by-step explanation:

V = [tex]\frac{lwh}{3}[/tex]

V = [tex]\frac{(8)(8)(9)}{3}[/tex] = [tex]\frac{576}{3}[/tex]

V = 192 cm³

Expanded form of -3(4x+7y)

Answers

Answer: -12x-21y

Step-by-step explanation:

-3(4x+7y)    

-3(4x)-3(7y)   <--- Distribute by mulitplying each varibalbe by "-3"

-12x-21y

If Area Sub made 36 sandwiches using 9 pounds of ham. How much ham was used per sandwich?

Answers

Answer:

4 pounds

Step-by-step explanation:

[tex]\frac{36}{9}[/tex] = 4

I would really appreciate it if you would please mark me brainliest! Have a blessed day!

Answer:

Step-by-step explanation:

Total number of sandwiches = 36

Total pounds of ham = 9 pounds

per pound = 36 ÷ 9 = 4 sandwiches

Ham per sandwich = 0.25 pounds

The senior class at Clearville ISD is having a fundraiser to raise money for their prom. They are seling coupon books in the local community. The number currently sold by each of the students was used to create the box plot shown below. HHH 8 10 12 14 16 18 20 22 24 26 28 30 32 If one of the students calculated the mean of the data to be 14.5, would this be an appropriate mean? OA. Yes, the mean is appropriate. OB. There is not enough information to determine if the mean is appropriate. O C. No, the mean should be lower. OD. No, the mean should be higher. Reset Submit​

Answers

Answer:

The answer is D

Step-by-step explanation:

If you add them all, and divide them it wouldn’t get 14.5

Answer:

No, the mean should be higher.

Step-by-step explanation:

Have a good day :)

Arnav was 1.5 m tall. In the last couple of years, his height has increased by 20% percent.
How tall is Arnav today?

Answers

Answer: Arnav is 1.8m

Step-by-step explanation: I multiplied 1.5 by 0.20 and then added that answer to 1.5 and then I got 1.8

:D

Answer:

1.5 x 2= 3m its really just that easy.... it took me a while to learn this trick but it works for most things.

I NEED HELP QUICK QUICK HELP (If you answer just for the point i will report you)

Answers

Answer:

1.Neither

2.Discrete

3.Discrete

4. Continuous

Step-by-step explanation:

Discrete Data can only take certain values. The number of students in a class

We can't have half a student!

1. The graph in option 1 is Neither.

2. The graph in option 2 is discrete.

3. The graph in option 3 is discrete.

4. The graph in option 4 is continuous.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. In discrete mathematics, and more specifically in graph theory.

A graph is a structure consisting of a set of objects, some of which are "related" in some way. The objects correspond to mathematical abstractions known as vertices, and each pair of related vertices is known as an edge.

1. The graph in option 1 is Neither. It is not discrete and continuous.

2. The graph in option 2 is discrete. The values of the data are not in a specific pattern.

3. The graph in option 3 is discrete. The values of the data are not in a specific pattern.

4. The graph in option 4 is continuous. The points in the graph are varying continuously.

To know more about the graph follow

https://brainly.com/question/19040584

#SPJ2

X + 12 >7




HELP YOU NOW PLEASE

Answers

Answer:

x>−5

Step-by-step explanation:

What does it mean
for one variable to be dependent on another
variable

Answers

Answer:

The variables in a study of a cause-and-effect relationship are called the independent and dependent variables. The independent variable is the cause. Its value is independent of other variables in your study. The dependent variable is the effect. Its value depends on changes in the independent variable.

Step-by-step explanation:

I need help pls and thank you

Answers

The answer is 56 !
Your welcome :) !

PLEASE HELP!!! I need an urgent answer and I'll give brainiest just please answer this easy question!

Answers

Answer:

y , add 7, multiply by 3, then subtract 6.or Solve the system of equations and choose the correct answer from the list of options. x − y = 7 y = 3x + 12 2 over 19 comma 2 over 33 negative 2 over 19 comma negative 33 over 2 negative 19 over 2 comma negative 33 over 2 19 over 2 comma 33 over 2

Step-by-step explanation:

Graph the points:
(-1, -2); (0 -1), (1, 0)

• What is the fourth point?

HELP PLZZ I'm abouta fail this grade and I cant ​

Answers

Answer:

(2,1)

Step-by-step explanation:

bro if im wrong blame me-- but yeah

please help meeeeeee

Find the value of x in the diagram. Explain how you found the answer.​

Answers

Answer:

x = 65

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

subtract the sum of the 2 given angles from 180° for third angle

third angle = 180° - (60 + 55)° = 180° - 115° = 65°

65° and x are vertical angles and are congruent, thus

x = 65

Answer:

x = 65 degrees

Step-by-step explanation:

Three angles are marked with their values:  55 and  60 degrees.  Thus, the third interior angle of the left triangle (unmarked) is 180 degrees - (115) degrees = 65 degrees.

This 65 degree angle and x are vertical angles.  Thus, x = 65 degrees.  This plus y form a straight angle, so y = 180 degrees - 65 degrees = 115 degrees.

9 • (7 – 4)2 + 9 simplify asap

Answers

Answer:

90

Step-by-step explanation:

9 x (3)2 + 9 first do the parenthesis

9 x 9 + 9 I am assuming the 2 was an exponent

81+9

90

A phone company uses the equation y 0.15x10 to find y, the monthly charge for a customer sending x text messages. How many text messages are sent if the monthly charge is $77507
A: 10
B: 21
C: 450
D: 506

Answers

Answer:21

Step-by-step explanation:

21

The area of this trapezoid is what?

Answers

Answer:

The area of this trapezoid is 8cm

Answer:

130

Step-by-step explanation:

first decompose the trapezoid into a square in the middle and 2 triangles on the left/right side, both triangles are congruent so you only find the area of one triangle, which is 9 because do 2x9 = 18/2 = 9, now let's move on to the middle square 14 x 18 = 112, then you add them all up remember there are 2 triangles,

112 + 9 + 9 = 130


Work out the value of 4⁵

I think it 1024​

Answers

Answer:

1024

Step-by-step explanation:

yeah it's 1024 lol

Answer:

4^5 = 1024

Step-by-step explanation:

Write down the # on the left (4) by the # of times on the left (5)

So it would be: 4x4x4x4x4 = ?

You can cut this problem into pieces.

1. 4x4 = 16

2. 4x4 = 16      

3. 16x16 = 256 (use standard multiplication method)

4. 256 x 4 = 1024

I hope this helps:)

What is the simplified expression of (2x -8) + (3x-2)

Answers

Answer:

5x-10

Step-by-step explanation:

Answer:

5x-10

Step-by-step explanation:

You can add the x together, 2+3 is 5 so we have 5x.

The you add the other numbers, -8+-2 is -10.

You then can put the addition in, and have 5x+-10. Since 10 is a negative, there's no need to put the addition sign, so 5x-10 would be the answer.

Decide if the following statement is valid or invalid.

If it is sunny this week, then we will go to the park. We went to the park today, so it is sunny .

True or False

Answers

Answer:

the answer is false

Step-by-step explanation:

just cause it is

I need help!!! I don’t know what to do

Answers

Answer:

5km

Step-by-step explanation:

1/2xbxh

1/2x 2x5= 5

Answer:

5 km.

Step-by-step explanation:

1/2 times base times height.

1/2 times 5 times 2

= 5

how to do expected frequency for chi^2 goodness fit test ​

Answers

How do you find the expected frequency in a chi square goodness of fit?
Pearson's chi-square goodness of fit test statistic is: - where Oj are observed counts, Ej are corresponding expected count and c is the number of classes for which counts/frequencies are being analysed.
...
Chi-square Goodness of Fit Test.
Value Observed frequency Expected frequency
3 29 14.96
4 8 5.61

Step-by-step explanation:

So basically you're going to start with your (expected value - observed value) squared

(O-E)²

You're then gonna divide that by your expected value that you just used

(O-E)²/E

Suppose () = 46%; ( and ) = 10%; and ( or ) = 62% Find (Not ). Can this really be a probability? If not, explain why not.

Answers

Answer:

[tex]P(E) = 26 \%[/tex]

Step-by-step explanation:

Given

[tex]P(F) = 46\%[/tex]

[tex]P(E\ and\ F) = 10\%[/tex]

[tex]P(E\ or\ F) = 62\%[/tex]

Required

Find P(E)

In probability:

[tex]P(E\ and\ F) = P(E) + P(F) - p(E\ or\ F)[/tex]

Substitute the right values

[tex]10\% = P(E) + 46\% - 62\%[/tex]

[tex]10\% = P(E) -16 \%[/tex]

Collect Like Terms

[tex]P(E) = 10\% +16 \%[/tex]

[tex]P(E) = 26 \%[/tex]

It is a probability because all probabilities are within the range 0 to 100%

Please tell me the answers i am confused and need help

Answers

Answer:

Simplified= 7x+6 When x=3 the expression=27

Step-by-step explanation:

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