given df with D(-1,11) and F(-9,-5) if E partitions DF such that the ratio of DE to DF is 5:8 find the coordinates of E

Answers

Answer 1

Answer:

(-6, 1)

Step-by-step explanation:

Since DE to DF is 5:8, we need to add 5/8 of the difference in x- and y-coordinates to the coordinates of point D to find point E.

Difference in x from D to F:

-9 - (-1) = -8

5/8 * (-8) = -5

Difference in y from D to F:

-5 - 11 = -16

5/8 * (-16) = -10

x: -1 - 5 = -6

y: 11 - 10 = 1

Answer: (-6, 1)

Answer 2

The coordinates are (-6, 1).

What is section formula?

When a point divides a line segment externally or internally in some ratio, we use the section formula to find the coordinates of that point. It is a handy tool used to find the coordinates of the point dividing the line segment in some ratio. This section formula can also be used to find the midpoint of a line segment and for the derivation of the midpoint formula as well.

Given:

D(-1,11) and F(-9,-5)

DE : DF is 5:8

So,

DE: EF= 5 : 3

Using section formula

x= 3*(-1) + 5*(-9)/5+3

x= -3 -45 /8

x= -48/8

x= -6

and,

y= 3*11 + 5*(-5) / 8

y= 33-25/8

y= 8/8

y=1

Hence, the coordinates are (-6, 1).

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Related Questions

what is the answer to 6y+21+7=4y−20+5y

Answers

Step-by-step explanation:

the answer for 6y+21+7=4y−20+5y is

y =16

7x - 3y = 4
2x - 4y = 1

The solution to the system of equations is _____.

A:(13/34, -15/34)
B:(3/22, -7/22)
C:(13/22, 1/22)

Answers

Answer:

My answer is option C.

Step-by-step explanation:

Since you cannot eliminate it immediately then you will need to multiply it by each of the number to make them equal that means you will multiply the first equation by any number in the second equation that is you can use maybe -4 or 2 or 1. and then do the same to the other equation to make them equal...if you use 2 in the second equation for the first equation and you use 7 in the first equation for the second equation the you will make them equal which makes them easier to eliminate and then when you find y which is y=1/22 then you can substitute it into any of the equation and find your x which is x=13/11.

Answer: option c

Step-by-step explanation:

Expand and simplify the expression 6x-7(4 - 5) algabra btw

Answers

Answer:

[tex] \boxed{ \bold{ \red{6x + 7}}}[/tex]

Step-by-step explanation:

[tex] \sf{6x - 7(4 - 5)}[/tex]

Distribute 7 through the parentheses

[tex] \sf{6x - 28 + 35}[/tex]

Calculate

[tex] \sf{6x + 7}[/tex]

Hope I helped!

Best regards!!

(5 points) The probability of rain on any day in the month of April is 34%. The probability that it will be windy on any day in the month of April is 38%, and the probability of both is 10%. What is the probability that a randomly selected day in April will be rainy or windy?

Answers

Answer:

0.62

Step-by-step explanation:

Probability of rain = 34% = 0.34

Probability of wind = 38% = 0.38

Probability of wind and rain = 10% = 0.1

P(wind U rain) = p(wind) + p(rain) - p(both)

= 0.34 + 0.38 -1

= 0.62

The probability that it would be rainy or sunny in any given day in April is 62%

The sum of three numbers is 125. The first number is 7 more than the first. The third number is 4 times the second.What are the numbers

Answers

Answer:

15, 22, 88

Step-by-step explanation:

I assume you mean the second number is 7 more than the first.  Write the system of equations:

x + y + z = 125

y = x + 7

z = 4y

Substitute the third equation into the first.

x + y + 4y = 125

x + 5y = 125

Substitute the second equation.

x + 5(x + 7) = 125

6x + 35 = 125

6x = 90

x = 15

Solve for the other variables.

y = 22

z = 88

Davon marks a 4-inch paper strip into equal parts as shown below. Label the whole and quarter inches on the paper strip.

Answers

Answer:

Step-by-step explanation:

Divide the length of the paper strip into four equal sections of 1 inch each.

Mark the left end of the strip '0' and the right end '4.'  Label the '1,' '2,' '3' points.

Between these marks, label the strip as follows:

'1/4,' '1/2,' '3/4,' 1 (already marked), '1 1/4,' '1 1/2,' and so on.

Next time, please be sure to share ALL parts of the question with which you want help.  Thank you.

Solve the equation: x/4= 2

Answers

Answer:

[tex] \purple{ \boxed { \bold{\blue{x = 8}}}}[/tex]

Step-by-step explanation:

[tex] \mathsf{ \frac{x}{4} = 2}[/tex]

Apply cross product property

[tex] \mathsf{x \times 1 = 2 \times 4}[/tex]

Calculate

[tex] \mathsf{x = 8}[/tex]

Hope I helped!

Best regards!

Answer:

[tex] \frac{x}{4} = 2[/tex]

X=2

Step-by-step explanation:

4•x/4=2•4

X=8

Give an example of two 2×2 matrices A and B, neither of which is the zero matrix or the identity matrix, such that AB=BA.

Answers

Let

[tex]A=B=\begin{bmatrix}0&1\\1&0\end{bmatrix}[/tex]

Then

[tex]AB=BA=\begin{bmatrix}0&1\\1&0\end{bmatrix}^2=\begin{bmatrix}1&0\\0&1\end{bmatrix}[/tex]

can you please help me?​

Answers

Step-by-step explanation:

1.

Point M is the bisector of AB

AM = 13...(given)

Therefore, AB = 2AM = 2* 13 = 26

2.

Ray MC is the bisector of AB

AM = 8...(given)

Therefore, AB = 2AM = 2* 8 = 16

3.

Line l is the bisector of angle AB.

BM = 26...(given)

Therefore, AB = 2BM = 2* 26 = 52

what is the first operation used to evaluate 13-2x3+4 divided by 4+4

Answers

Answer:

  multiplication

Step-by-step explanation:

The evaluation of ...

  13 -2·3 +4/4 +4

starts with the multiplication, because there are no exponents or parentheses.

  13 -6 +4/4 +4

Next is the division:

  13 -6 +1 +4

Finally, the addition and subtraction:

  7 +1 +4

  8 +4

 12

_____

We have assumed your x is not a variable, but is intended to indicate multiplication. We have also assumed that your "divided by" implies no particular grouping, so that the numerator is the first preceding number and only the first following number is in the denominator.

A train is traveling at a constant speed of 90 miles per hour. How many feet does it travel in 10 seconds? Remember that 1 mile is 5280 feet.

Answers

Hi

1 mile = 5280 feet  

at  90 mile per hour, you have  5280 *90  = 475 200 feets  

an hour is  60*60 = 3600 second  

so in 1 second the train travel  :  475 200 /3600 = 4752 /36 = 132 feets

so in 10 seconds  :  132*10 = 1320 feets.

The feet train travel in 10 seconds is  1,320 feet .

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the question

Train traveling at a constant speed = 90 miles per hour

1 mile = 5280 feet  

By using unitary method:

feet does it travel in 1 seconds = [tex]\frac{90*5280}{60*60}[/tex]  

feet does it travel in 10 seconds = [tex]\frac{90*5280}{60*60} * 10[/tex]

                                                      = 1,320 feet

Hence, the feet train travel in 10 seconds is  1,320 feet .

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doctor better than teacher debate

Answers

Answer:

Teachers are the one that teach the doctors how to do their profession. They are both critical parts of society and should both be respected. Though doctors work with patients and determine what problems they have and how to help solve them. They work on treatments and can reassure patients in tough situations. They only goal is to help others and keep everyone has happy and healthy as possible.

A fish bowl contains blue, green and red plastic fish.

Answers

Answer:

Please comment on this answer what the real question is.

Step-by-step explanation:

Can a vertical line be diagonal?

Answers

Answer:

No

Step-by-step explanation:

Assuming that the x- and y- axes are respectively horizontal and vertical, a vertical line has an undefined slope and cannot be diagonal.

Note that only a diagonal line can have a slope defined.

can someone plz help me!

Answers

Answer:

Step-by-step explanation:

from focus

[tex]\sqrt{(x+3)^2+(y-2)^2}[/tex]

from directrix

|y-4|

Pleaasee answer!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

C            Mark me as brainliest!!!

Step-by-step explanation:

Use the number line​ below, where RS=7y+2​, ST=5y+7​, and RT=14y−3. a. What is the value of​ y? b. Find​ RS, ST, and RT.

Answers

Answer:

a.   y = 6

b.  RS = 44

    ST = 37

    RT = 81

Step-by-step explanation:

RS = 7y + 2

ST = 5y + 7

RT = 14y - 3

find:

a.  y

b.  RS, ST, RT

RS + ST = RT

7y + 2 + 5y + 7 = 14y - 3

group like terms

7y + 5y + 2 + 7 = 14y - 3

12y + 9 = 14y - 3

9 + 3 = 14y - 12y

12 = 2y

y = 12/2

y = 6

-----------------------------------

b.

RS = 7(6) + 2

RS = 44

ST = 5(6) + 7

ST = 37

RT = 14(6) - 3

RT = 81

Answer:

a.   y = 6

b.  RS = 44;     ST = 37;     RT = 81

Step-by-step explanation:

RS + ST = RT

7y + 2 + 5y + 7 = 14y - 3

group like terms

7y + 5y + 2 + 7 = 14y - 3

9 + 3 = 14y - 12y

12 = 2y

y = 12/2

y = 6

plug in values to solve RS,  ST,  RT

RS = 7(6) + 2 = 44

ST = 5(6) + 7  = 37

RT = 14(6) - 3  = 81

Which rational number could be graphed between -3 and -4

Answers

Answer:

-3.5

Step-by-step explanation:

An example is -3.5.

Solve for z.
5
y = ZW - ZC

Answers

Step-by-step explanation:

5y = ZW - ZC

5y = Z(W - C)

5y / W- C = Z(W -C) / W - C

Z = 5y / W - C

show that Lim lx-2l/x-2 does not exist​

Answers

Answer:

Actually It Does Lx-21/x-2 you have to find out what the Letter x stands for and what the letter L stands For for you to be able to find the answer

Step-by-step explanation:

You want to buy a special handcrafted square box. Since each box is uniquely handcrafted and you did not bring you ruler, you are not sure of the exact dimensions. Let X be the length of one of the sides, and assume that X is uniformly distributed between 15 and 18 inches. a) What is the expected volume of the box that you buy

Answers

Answer:

[tex]Volume = 4492.125\ unit^3[/tex]

Step-by-step explanation:

Given

Uniform Distribution X

X: 15 to 18

Required

Determine the expected volume

Since, X is uniformly distributed; We have to first determine the expected value of X as follows;

[tex]Mean(X) = \frac{b + a}{2}[/tex]

Where b = 18 and a = 15

[tex]Mean(X) = \frac{18 + 15}{2}[/tex]

[tex]Mean(X) = \frac{33}{2}[/tex]

[tex]Mean(X) = 16.5[/tex]

Since the box is a square box, the volume is as follows;

[tex]Volume = 16.5 * 16.5 * 16.5[/tex]

[tex]Volume = 4492.125\ unit^3[/tex]

Hence, the expected volume is 4492.125 unit³

Write this number using words. 703,010,006

Answers

Answer:

Seven and three million ten thousand and six.

Step-by-step explanation:

703 is in the millions place.

010 is in the thousands place.

and 006 is in the hundredths place.

hope this helps you!

Find the inverse of the radical function [tex]\sqrt[3]{x-2}[/tex]

Answers

Answer: y=x³+2 or f⁻¹(x)=x³+2

Step-by-step explanation:

To find the inverse of the radical function, we replace y with x and x with y. Then, you solve for y.

[tex]y=\sqrt[3]{x-2}[/tex]                        [replace y with x and x with y]

[tex]x=\sqrt[3]{y-2}[/tex]                        [cube both sides to cancel out the cubed root]

[tex]x^3=y-2[/tex]                          [add both sides by 2]              

[tex]x^3+2=y[/tex]

Now that we have switched the variables and solved for y, we know that the inverse function is y=x³+2 or f⁻¹(x)=x³+2.

Answer:

f^-1(x)=x^3+2

Step-by-step explanation:

The mean height of women in a country​ (ages 20​29) is inches. A random sample of women in this age group is selected. What is the probability that the mean height for the sample is greater than ​inches? Assume . The probability that the mean height for the sample is greater than inches is nothing.

Answers

Complete Question

The mean height of women in a country (ages 20-29) is 64.4 inches. A random sample of 75 women in this age ground is selected. what is the probability that the mean height for the sample is greater than 65 inches? assume [tex]\sigma = 2.97[/tex]

Answer:

The value is  [tex]P(X > 65) = 0.039715[/tex]

Step-by-step explanation:

From question we are told that

  The mean is [tex]\mu = 64.4 \ inches[/tex]

  The  sample size is  [tex]n = 75[/tex]

   

The probability that the mean height for the sample is greater than 65 inches is mathematically represented as

     [tex]P(X > 65) = P[\frac{X - \mu }{ \sigma_{\= x} } > \frac{65 - 64.4 }{ \sigma_{\= x} } ][/tex]

Where  [tex]\sigma _{\= x }[/tex] is the standard error of mean which is evaluated as

     [tex]\sigma_{\= x } = \frac{\sigma}{\sqrt{n} }[/tex]

=>   [tex]\sigma_{\= x } = \frac{2.97}{\sqrt{75} }[/tex]

=>    [tex]\sigma_{\= x } = 0.343[/tex]

Generally [tex]\frac{X - \mu }{ \sigma_{\= x } } = Z(The \ standardized \ value \ of \ X )[/tex]

       [tex]P(X > 65) = P[Z> \frac{65 - 64.4 }{0.342 } ][/tex]

So  

    [tex]P(X > 65) = P[Z >1.754 ][/tex]

From the z-table  the value of  

     [tex]P(X > 65) = P[Z >1.754 ] = 0.039715[/tex]

     [tex]P(X > 65) = 0.039715[/tex]

Based on the sample of 500 people, 42% owned cats. Calculate the test statistic. Round to two decimal places.

Answers

Answer:

z= 3.63

z for  significance level = 0.05 is ± 1.645

Step-by-step explanation:

Here p = 42% = 0.42

n= 500

We formulate our null and alternative hypotheses as

H0: p= 0.42     against Ha : p> 0.42 One tailed test

From this we can find q which is equal to 1-p= 1-0.42 = 0.58

Taking p`= 0.5

Now using the z  test

z= p`- p/ √p(1-p)/n

Putting the values

z= 0.5- 0.42/ √0.42*0.58/500

z= 0.5- 0.42/ 0.0220

z= 3.63

For one tailed test the value of z for  significance level = 0.05 is ± 1.645

Since the calculated value does not fall in the critical region we reject our null hypothesis  and accept the alternative hypothesis that more than 42%  people owned cats.

x = 3 / 5 (cb+k)
Solve for b

Answers

Answer:

(5/3 x - k)/c  =b

Step-by-step explanation:

x = 3 / 5 (cb+k)

Multiply each side by 5/3

5/3x =5/3* 3 / 5 (cb+k)

5/3x = (cb+k)

Subtract k

5/3 x - k = cb +k-k

5/3 x - k = cb

Divide by c

(5/3 x - k)/c  = cb/c

(5/3 x - k)/c  =b

You have a metal rod thats51/64 inch long, the rod beeds to be trimmed. You cut 1/64 inch long from one end and 1/32 from the other end. Next, you cut the rod into six equal pieces. What will be the final length of each piece?​

Answers

Answer:

Length of each pieces= 1/8 inch

Step-by-step explanation:

Length of metal rod= 51/64 inch

1/64 was cut from one end and 1/32 was cut from the other end

Total cut out= 1/64 + 1/32

Total cut out= (1+2)/64

Total cut out= 3/64 inch

Length remaining= 51/64-3/64

Length remaining= 48/64 inch

So the remaining length was cut into six pieces.

Length of each pieces= (48/64) * 1/6

Length of each pieces= 8/64

Length of each pieces= 1/8 inch

According to Bureau of Labor Statistics, 22.1% of the total part-time workforce in the U.S. was between the ages of 25 and 34 during the 3 rd quarter of 2011. A random sample of 80 part-time employees was selected during this quarter. Using the normal approximation to the binomial distribution, what is the probability that fewer than 20 people from this sample were between the ages of 25 and 34?

Answers

Answer:

The  probability is  [tex]P(X < 20 ) = 0.68807[/tex]

Step-by-step explanation:

From the question we are told that

     The proportion of  total part-time workforce is  [tex]\r p = 0.221[/tex]

     The  sample  size is  n  =  80  

   

Generally the mean is mathematically represented as

         [tex]\mu = n* p[/tex]

          [tex]\mu = 0.221 * 80[/tex]

        [tex]\mu = 17.68[/tex]

The  proportion of not part - time   workforce

      [tex]q = 1- p[/tex]

=>   [tex]q = 1- 0.221[/tex]

=>   [tex]q = 0.779[/tex]

The  standard deviation is mathematically represented as

     [tex]\sigma = \sqrt{ 80 * 0.221 * 0.779 }[/tex]

     [tex]\sigma = 3.711[/tex]

Now  applying the normal approximation,

Then the  probability that fewer than 20 people from this sample were between the ages of 25 and 34 is mathematically represented as

     [tex]P(X < 20 ) = P( \frac{X - \mu }{ \sigma } < \frac{ 20 - 17.68 }{ 3.711} )[/tex]

Applying  continuity correction

     [tex]P(X < 20 ) = P( \frac{X - \mu }{ \sigma } < \frac{ (20-0.5 ) - 17.68 }{ 3.711} )[/tex]

       [tex]P(X < 20 ) = P( \frac{X - \mu }{ \sigma } < \frac{ (20-0.5 ) - 17.68 }{ 3.711} )[/tex]

      [tex]P(X < 20 ) = P( \frac{X - \mu }{ \sigma } < 0.4904 )[/tex]

Generally

      [tex]\frac{X - \mu }{ \sigma } = Z ( The \ standardized \ value \ of \ X )[/tex]

So  

    [tex]P(X < 20 ) = P( Z< 0.4904 )[/tex]

From the z-table  

        [tex]P( Z< 0.4904 ) = 0.68807[/tex]

The probability is  

         [tex]P(X < 20 ) = 0.68807[/tex]

HELP!! hOW DO YOU FIND FREQUENCY FROM CLASS LIMITS AND CLASS BOUNDARY???? I AM SO CONFUSED.

Data:
70 88 103 64 88 100 78 80 77 69
85 65 71 90 88 75 80 72 60 70
60 75 79

Class width: 7

Class limits
60-66
67-73
74-80
81-87
88-94
95-101
102-108

class boundaries
59.5-66.5
66.5- 73.5
73.5- 80.5
80.5- 87.5
87.5- 94.5
94.5-101.5
101.5-108.5


frequency
____
------
____
____
_____
___
_____

= Total frequency

Side Note: Format is off but it is three columns I need help figuring out this exact problem

JIM, Thank so you so much. How can I private message you?

Answers

Answer: See the image attached below for the filled out table

The third column is optional/extra. It's to show which data values fit in what specific class limit interval.

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

Explanation:

Imagine we had a bunch of cards. Each card will have a number that is from the data set {70, 88, 103, 64, ... etc}

The goal is to sort the cards into 7 boxes. The first box is labeled "60 through 66", the next is "67 through 73", etc.

The first box has 4 cards placed inside it because we have the values {64,65,60,60 } which fit the interval from 60 through 66. Therefore the frequency here is 4.

The next box has the cards labeled {70,69,71,72,70 } inside it. We have 5 cards here, so the frequency is 5.

This pattern is kept up until all of the cards have been sorted into the proper boxes.

What you'll end up with is what you see in the image below. It shows the table of class limits with their corresponding frequencies. I have added a third column to show which values go where, which is optional and likely something you wont put as your answer to the teacher. This third column is just something for you to help keep track of everything.

According to a poll taken last year, 45% of the cities' residents get most of their news from the Internet. To conduct a follow-up study that would provide 90% confidence that the point estimate is correct to within 0.04 of the population proportion, how large a sample size is required

Answers

Answer:

The sample size is  [tex]n =419[/tex]

Step-by-step explanation:

From the question we are told that

    The population proportion is  [tex]p = 0.45[/tex]

     The  margin of error is  [tex]E = 0.04[/tex]

Given that the confidence level is  90%

  Then the level of significance can be mathematically represented as

          [tex]\alpha = 100 -90[/tex]

          [tex]\alpha = 10\%[/tex]

         [tex]\alpha = 0.10[/tex]

Next we obtain the level of significance from the normal distribution table the value is    

             [tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]

   Generally the sample size is mathematically represented as  

        [tex]n = [ \frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * p(1- p )[/tex]

substituting values

         [tex]n = [ \frac{1.645 }{0.04} ]^2 * 0.45(1- 0.45 )[/tex]

        [tex]n =419[/tex]

     

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