T is the midpoint of KL. K has coordinates (2,−6), and T has coordinates (−4,2). Identify the coordinates of L.

Answers

Answer 1

Answer:

[tex]L = (-10,10)[/tex]

Step-by-step explanation:

Given

[tex]K = (2,-6)[/tex]

[tex]T = (-4,2)[/tex]

Required

Determine the coordinates of L

Since T is the midpoint of K and L, we make use of:

[tex]T_x = \frac{K_x + L_x}{2}[/tex]

and

[tex]T_y = \frac{K_y + L_y}{2}[/tex]

Solving for [tex]L_x[/tex]

[tex]T_x = \frac{K_x + L_x}{2}[/tex]

[tex]-4 = \frac{2 + L_x}{2}[/tex]

Multiply through by 2

[tex]-8 = 2 + L_x[/tex]

[tex]L_x = -8 - 2[/tex]

[tex]L_x = -10[/tex]

Solving for [tex]L_y[/tex]

[tex]T_y = \frac{K_y + L_y}{2}[/tex]

[tex]2 = \frac{-6+L_y}{2}[/tex]

Multiply through by 2

[tex]4 = -6 + L_y[/tex]

[tex]L_y = 4 + 6[/tex]

[tex]L_y = 10[/tex]

Hence: The coordinates of L is:

[tex]L = (-10,10)[/tex]


Related Questions

please help, I can't get it

Answers

x+5 /3
hope this helps!

Find the measures of the missing values.

Answers

1. X and Y= 39 (180-102=78, 78 divided by 2=39)

what is 20 1/6% as a fraction

Answers

Answer:

1.6

Step-by-step explanation:

1 x 20

6 x 1

=

20

6

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 20 and 6 is 2.

We can now divide both the new numerator and the denominator by 2 to simplify this fraction down to its lowest terms.

20/2 = 10

6/2 = 3

10/3

The complete and simplified answer to the question what is 1/6 of 20 is:

3 1/3 = 1.6

so basically what i did is convert 3 1/3 as a simplified fraction and got 1.6

Maureen reads at an average rate of 18 pages per hour. If she reads for 3.5 hours how many pages will she read?

Answers

the answer is 63

Step-by-step explanation

18 x 3.5=63

Answer: 63 pages

Explanation: 18 times 3 equals 54 and then for half an hour that's 9 minutes added to 54 which is 63 pages.

Can someone answer this and explain how to solve the 3 with the exponent of -4?

Answers

Answer:

3⁷

Step-by-step explanation:

When you multiplying or dividing numbers with exponents, you keep the base the same and specifically with dividing, you subtract the exponents themselves. So, you would be doing 3-(-4), which is 7.

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Exponents and power,

Since we know the concept that, any power in denominator of a fraction is shows as negative power when it comes to the Numerator of the fraction,like eg:-

[tex]1 \div ( {5}^{8} ) = {5}^{ - 8} [/tex]

so we apply here same,

also

[tex]1 \div ({5}^{ - 8} ) = {5}^{8} [/tex]

so we get as,

[tex] {3}^{3} \div {3}^{ - 4} = {3}^{3} \times {3}^{4} [/tex]

this is the answer.

For statistical tests of significance about the coefficients, the null hypothesis is that the slope is 1. True False

Answers

true if i’m not mistaken

A supply of foods last for a week for 20 families. how long would the supply last for 3 more families.?​

Answers

Given that,

A supply of foods last for a week for 20 families.

It is required to find the time that  would the supply last for 3 more families.

20 families = 1 week = 7 days

If 3 more families joined, total no of families are now 23.

It means that,

1 family= (20/7) days

Now,

23 family =

[tex]\dfrac{20}{7}\times 23=65.71\ \text{days}\\\\\approx 66\ \text{days}[/tex]

So, the supply will last for 66 days.

question 16 i mark as brainliest ​

Answers

Answer:

A

Step-by-step explanation:

coefficient of x²and x in 3x-2x+1​

Answers

If it is ....

[tex]3 {x}^{2} - 2x + 1 = [/tex]

The coefficient of is (( 3 ))

& the coefficient of x is (( -2 ))

_________________________________

If it is .....

[tex]3x - 2x + 1[/tex]

[tex]x + 1[/tex]

The coefficient of is (( zero 0 ))

& the coefficient of x is (( 1 ))

Pls help for Algebra 11b = 143

Answers

Answer:

b = 13

Step-by-step explanation:

Divide 143 by 11

So you need to move the number from left side to right side and device
B=143/11
=13

4. A statistician working for the National Basketball Association supplies the television announcers with interesting statistics. At a certain point in the season, he discovered that in 375 games, 300 were won by the team that was winning the game at the end of the third quarter. The margin of error in a 90% confidence interval estimate of the true proportion of games won by the team leading at the end of the third quarter with the plus-4 adjustment applied is (Show work): (5)

Answers

Answer: 0.038

Step-by-step explanation:

Given: Total games : n= 375

Number of games won by  the team that was winning the game at the end of the third quarter. = 300

The proportion (p) of the team that was winning the game at the end of the third quarter: [tex]p=\dfrac{300}{375}=0.8[/tex]

Critical z-value for 90% confidence: z* = 1.645

Margin of error =[tex]z^*\sqrt{\dfrac{(1-p)p}{n}}[/tex]

The margin of error in a 90% confidence interval estimate of p [tex]=1.645\sqrt{\dfrac{0.2\times0.8}{300}}\\= 1.645\times\sqrt{0.00053333}\\\\=1.645\times0.0231\\\\=0.0379995\approx$$0.038[/tex]

Hence, the required margin of error = 0.038

please help asap :)​

Answers

The answer to this question is “No”

Tyler has a baseball bat that weighs 28 ounces. Find this weight in kilograms and in grams.

Answers

Answer:

28 in grams=793.787 and 28 in kilo =0.793787

Step-by-step explanation:

HELPPPPPP
Giving that you already know what your grades are on your report card. Please write 1 paragraph on how you would like to improve your grade in math and what steps you plan to take to do so.
my grades are A's and B's and one C. my grade in her class is a B!! help me!!!

Answers

Answer:

I will study and make sure that I'm not missing any assignments. I will try and do my best even when I dont understand. I will ask you for help if I need it. I will do my best. I will be the best student I can be. I will go to tutoring.

Step-by-step explanation:

Make sure that it sounds like you talking so she does not get suspicious

Answer: Pay more attention

Step-by-step explanation: Focus more and study more than the average human which is 1-2 hours per day, i would recommend either 3-5 every day INCLUDING WEEKENDS.

For instance, i have a 91 in math, that is because i work hard and pay attention. also because of the people who answered my question and ranked it up to a 91, so my explanation is, Pay more attention. try, https://blog.powerscore.com/gre/10-ways-to-effectively-study-vocab-words/

Find the x- and y-intercepts of the graph of the linear equation −4x+3y=−30

Answers

Answer:

y-int = -10, x-int = 15/2

Step-by-step explanation:

y int:

-4(0)+3y=-30

3y=-30

y=-10

x int:

-4x+3(0)=-30

-4x=-30

x=30/4=15/2

g Suppose you are rasterizing a triangle with vertices (1, 1), (5, 1), and (2, 9), and the intensity values (e.g., redness) of those vertices are 5, 9, and 14, respectively. Using the linear interpolation scheme, what is the intensity value of an interior point at (3, 5)? Show all your work.

Answers

Answer:

6.333

Step-by-step explanation:

Our triangle vertices are

(1,1)(5,1)(2,9)

We are to perform interpolation at point(3,5)

x and y values are interpolated

On vertices (5,1)(2,9)

x = 3

x1 = 5

X2 = 2

Y1 = 1

Y2 = 9

Formula for interpolation

Y = [y1+(x-x1)(y2-y1)]/x2-x

Y = 1+(3-5)(9-1)/2-5

Y = 1+[-2*8/-3]

Y = 1+16/3

From here we use use LCM to get:

19/3 = 6.333

You are buying a new bicycle. The table shows the prices of bicycles at a store. You are willing to pay the mean price with an absolute deviation
of at most $60.

Select which inequalities represent the prices you are willing to pay.

Bicycle prices:
$350 $450 $180 $200
$290 $325 $240 $445



x-60 S 310
| x + 60 < 310
1 x + 310 < 60
x < 250 or x > 370
X - 310 < 60
250 < x < 370


Answers

Answer:

250 < x < 370

Step-by-step explanation:

From the given bicycle prices, we first calculate the mean.

Mean = ⅛($350 + $450 + $180 + $200 + $290 + $325 + $240 + $445)

Mean = ⅛(2480)

Mean = $310

Next, is to determine the amount willing to pay using.

Amount = Mean ± Absolute Deviation

Amount = $310 ± $60

This can split as follows

Amount = $310 + $60 or Amount = $310 - $60

Amount = $370 or $250

Represent as an inequality, we have:

250 < x < 370

You are putting in a walkway around a tomato garden that has
dimensions of 14 feet x 8 feet. The width of the walkway needs to be
the same around each side of the garden. The total area of the
garden and the walkway needs to be 315 square feet.

Answers

Answer:

The garden is 14ft by 8ft.

The width of the walkway needs to be the same around each side of the garden, let's suppose that the width is X.

Then the area of the garden plus the walkway will be:

(14ft + X) by (8ft + X).

And we want that the total area of the garden and the walkway must be equal to 315 ft^2. Then we must solve the equation:

(14ft + X)*(8ft + X) = 315ft^2

Let's solve this for X.

112ft^2 + 14ft*X + 8ft*X + X^2 = 315ft^2

Let's move al the terms to the same side:

X^2 + (14ft + 8ft)*X + 112ft^2 - 315ft^2 = 0

X^2 + 22ft*X - 203ft^2 = 0.

Now to solve this we can use Bhaskara's equation:

[tex]X = \frac{-22ft +- \sqrt{(22ft)^2 - 4*1*(203ft^)} }{2} = \frac{-22ft +-36ft}{2}[/tex]

Then we have two solutions:

X = (-22ft - 36ft)/2 = -29ft

This solution is negative, and X represents a width, so must be positive, then we can discard this solution.

X = (-22ft + 36ft)/2 = 7ft

Then we can conclude that the width of the walkway must be 7ft.

Solve the equation. Then check your solution.
1. 1/4 = a +3/8

Answers

Subtract from both sides by 3/8, and u got -1/8. If u want to check put -1/8 in a
-1/8+3/8=1/4

. An independent-measures research study was used to compare two treatment conditions with n=12 participants for each treatment. The first treatment condition had M=55 with a variance of s2=8, and the second treatment condition had M= 52 and s2=4. Look up the appropriate critical value based on your computed degrees of freedom. Do these data indicate a significant difference between the two treatments

Answers

Answer:

Decision rule  is  

Fail to reject the null hypothesis

 The conclusion is  

There is sufficient evidence that indicate that there is a significant difference between the two treatments

Step-by-step explanation:

From the question we are told that  

    The sample size is  n =  12

    The first  mean is  [tex]M_1  =  55[/tex]

    The variance is  [tex]s^2_1 =  8[/tex]

    The second mean is  [tex]M_2  =  52[/tex]

     The second variance is [tex]s^2_2 =  4[/tex]

Let the level of significance be  [tex]\alpha  =  0.05[/tex]

The null hypothesis is  [tex]H_o  :  M_1 = M_2[/tex]

The alternative hypothesis is [tex]H_a  :  M_1 \ne M_2[/tex]

  Generally the test statistics is mathematically

     [tex]t = \frac{M_1 - M_2 }{ \sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2}} }[/tex]

=>   [tex]t = \frac{55 - 52 }{ \sqrt{\frac{8}{12} +\frac{4}{12 }} }[/tex]

=>   [tex]t = 1.1619 [/tex]

Generally the degree of freedom is mathematically represented as

      [tex]df = 12 -1[/tex]

=>    [tex]df = 11 [/tex]

Generally  from the t- distriibution table the critical  value  of  [tex]\alpha[/tex] at a degree of freedom of [tex]df = 11 [/tex]  is

    [tex]t_{0.05 , 11} =  2.20098516[/tex]

Here given that the critical value is greater than the t statistics value the

Decision rule  is  

Fail to reject the null hypothesis

 The conclusion is  

There is sufficient evidence that indicate that there is a significant difference between the two treatments

As of a certain​ date, there had been a total of 13,974 performances of two shows on​ Broadway, with 2480 more performances of Show A than Show B. How many performances were there of each​ show?

Answers

Answer:

11,772

Step-by-step explanation:

Just trying to earn points don't know if nessesarily right! just beggined few days ago

HELP ME ASP PLZ
Which model represents the product Three-fourths times one-third ?


1. A model with 12 squares. 2 squares are light purple, 1 square is dark purple, and 3 squares are grey.


2. A model with 12 squares. 3 squares are light purple, 6 squares are dark purple, and 2 squares are grey.


3. A model with 8 squares. 3 squares are light purple, 3 squares are dark purple, and 1 square is grey.


4. A model with 12 squares. 6 squares are light purple, 3 squares are dark purple, and 1 square is grey.

Answers

Answer:

b

Step-by-step explanation:

NEED HELP ASAP, VIEW THE PHOTO FOR THE QUESTION PLZ I NEED HELP

Answers

Answer:

x=0 is the solution

Step-by-step explanation:

Notice that the graph is that of a parabola with vertex at the point (0, 0).

When we solve for x in the equation:

- x^2 = 0

then we divide by -1 both sides an get: x^2 = 0/(-1) = 0

and finally use the square root property to find the answer and we get:

[tex]x=+/- \sqrt{0} = +/- 0 = 0[/tex]

Since +0 = - 0 (this is the null value), there is only one solution: x = 0.

Lowest common multiple of 8 and 6

Answers

The LCM for 6 and 8 = 24
because this is the first multiple they have in common.

Answer:

answer is 24 hope this helps! :)

The population of a country in 2015 was estimated to be 321.3 million people. This was an increase of ​21% from the population in 1990. What was the population of the country in​ 1990?

Answers

Answer:

249.5 (Note: I am not really sure of my answer so sorry)

Step-by-step explanation:

Let 'x' be the population in 1990.

The population in 2015 is 321.9 million.

The increase in x by 29% = 321.910^6

129% of x = 321.910^6

1.29x = 321.910^6

x = 321.910^6/1.29

x = 249.510^6

x = 249.5 million.

249.5 is the answer

i used siri

The area of a triangle is 120-meter square, if the height is equal 10 meter, what is the value of the base?

Answers

Answer:

24 meters

Step-by-step explanation:

The equation for the area of a triangle is A=1/2BxH where B is the base and H is the height. You are given the area and the height so you need to plug those values into the equation and solve.

120=1/2Bx10

240=Bx10

24=B

the nth term of a sequence is 20-n^2
a) find the third term of the sequence
b) which term in the sequence is the first to have a negative value ​

Answers

Answer:

a) 20 - 3^2 = 11

b) 5th, 20 - 5^2 = -5

Step-by-step explanation:

The answer assumes your terms begin at 1. If the terms begin at zero

a) 16

b) 6th term

if you chose to be extremely technical you would take the square root of 20.1 or 20.00000009 but I'm assuming they want whole numbers

Answer:

a)11

b)5th term

Step-by-step explanation:

ben is training for a triathlon he runs 1/5 of a mile in 1/20 of an hour he seems to third of a mile in 1/9 of an hour he bikes for miles in 1/4 of an hour at this rate how many minutes does it take them to run 2 miles swim 2 miles in bike 8 miles

Answers

Answer:

a) He will take 76 minutes in the triathlon

Step-by-step explanation:

He runs  1/5 of a mile in 1/20 f hour then, by simple inspection

1/5    ⇒    1/20       then    1/5 miles* 10    = 2 miles

                                        1/20*hours*10    = 1/10 hours

10/10 of an hour is 60 minutes

1/10 of an hour is 6 minutes

swimming

1/3 of a mile in 1/9 of hours then

1/3mile *6   = 2 miles

1/9 of an hour * 6 = 6/9 hours  or 2/3 of an hour

3/3 of an hour is 1 hour   = 60 minutes

2/3 of an hour is    =  40 minutes

In bike

4 miles  in  1/4 hour   then

4 miles *2   = 8 miles

1/4 hour* 2  =  1/2 hour = 30 minutes

Then he will do the triathlon in:

6 minutes running

40 minutes swimming

30 minutes in bike

Total 76 minutes

Suppose you want to find the average household income in America. So you pick 10 households from each state (a total of 500 households) and find their income.

What is the population? What is the parameter you want to find?

Answers

Answer:

Step-by-step explanation:

The purpose of the experiment is to find the average or mean amount of household income in America.

Household Income simply means the total income of a household - which is the sum of income earned by each member of the household. This study aims to find the average of this household, across the Americas.

For your analysis, you pick 10 households from each state of the country (or continent). A total of 500 households implies 500/10 = 50 states

WHAT IS THE POPULATION?

The population in this study is:  the total population of American households OR the total number of households in America. The sample on the other hand, is the 500 households directly involved in the study.

WHAT IS THE PARAMETER YOU WISH TO FIND?

The parameter you wish to find is:  mean (or average) household income in America.

The table shows four account transactions. Find the account balance after the transactions when the account started with a balance of $55.

Answers

Answer:

90

Step-by-step explanation:

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