The midpoint of BC is (5, -2). One endpoint is B (3,4). What are the coordinates of endpoint C?

Answers

Answer 1

Let the midpoint of [tex]BC[/tex] be [tex]M(x_{_M};~y_{_M})[/tex].

Then [tex]x_{_M}=\dfrac{x_{_B}+x_{_C}}{2}[/tex] and [tex]y_{_M}=\dfrac{y_{_B}+y_{_C}}{2}[/tex].

We are given [tex]x_{_M}=5, y_{_M}=-2[/tex] and [tex]x_{_B}=3, y_{_B}=4[/tex].

[tex]5=\dfrac{3+x_{_C}}{2}\Rightarrow x_{_C}=7\medskip\\{-2}=\dfrac{4+y_{_C}}{2}\Rightarrow y_{_C}=-8[/tex]

[tex]C(7;-8)[/tex]

Answer 2

Answer:

The coordinates of endpoint C are (7,-8).

Step-by-step explanation:

Given information: Midpoint of BC is (5, -2) and B(3,4).

We need to find the coordinates of C.

Let the coordinate of C are (x,y).

If end points of a line segment are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the midpoint of that segment is

[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Midpoint of BC is

[tex]Midpoint=(\frac{3+x}{2},\frac{4+y}{2})[/tex]

Midpoint of BC is (5,-2).

[tex](5,-2)=(\frac{3+x}{2},\frac{4+y}{2})[/tex]

On comparing both sides.

[tex]5=\frac{3+x}{2}[/tex]

[tex]10=3+x[/tex]

[tex]10-3=x[/tex]

[tex]7=x[/tex]

The value of x is 7.

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

[tex]-4=4+y[/tex]

[tex]-4-4=y[/tex]

[tex]-8=y[/tex]

The value of y is -8.

Therefore the coordinates of endpoint C are (7,-8).


Related Questions

The time it takes an excursion boat to travel 36 miles downstream is the same as the time it takes the boat to travel 12 miles upstream. If the stream is 4 miles per hour, which of the following is the speed of the boat in still water.

Answers

Final answer:

The speed of the boat in still water is 8 miles per hour.

Explanation:

To find the speed of the boat in still water, we can use the formula:

Speed of the boat in still water = (speed downstream + speed upstream) / 2

Given that it takes the same amount of time for the boat to travel 36 miles downstream and 12 miles upstream, we can set up the following equation:

36 / (v + 4) = 12 / (v - 4)

Where v is the speed of the boat in still water. Cross multiplying and solving the equation, we get:

36(v - 4) = 12(v + 4)

36v - 144 = 12v + 48

24v = 192

v = 8

Therefore, the speed of the boat in still water is 8 miles per hour.

Learn more about Speed of the boat in still water here:

https://brainly.com/question/29248237

#SPJ3

Fill in the Blank, 1.) 2t+8>-4(t+1). t>_____

Answers

Hey there!!  

Given equation :

... 2t + 8 > -4 ( t + 1 )

Using the distributive property :

... 2t + 8 > -4t - 4

Adding 4t on both sides :

... 6t + 8 > - 4

Subtracting 8 on both sides :

... 6t > - 12

Dividing by 6 on both sides :

... t > -2

Hence, the number in the blank is -2.

Hope my answer helps!!

Identify the terms coefficients and constants in the expression 20x+13

Answers

Constant: 13

Coefficient: 20

The 20 before the X is the coefficient
and the 13 is a constant

you have 5/8 if a pepproni pizza. you divide the remaining pizza into 3 equal slices. what portion of the original pizza is each slice?

Answers

You have 5/8 remaining of a pizza. You want to divide it into 3 equal slices.

To find the answer, Divide 5/8 with 3, or multiply 5/8 x 1/3

5/8 x 1/3 = 5/24

Each portion is 5/24 of the original slice.

hope this helps

the function is decreasing for -3<x<1

Answers

Look at the picture.

47% as a fraction or a mixed number

Answers

47/100 works becuase it also equals 47% of 100%
47/100 because 47% means 47 of something that is in 100

Help please 10 minutes!!!!!!!!!

Answers

Substitute y = 2x - 15 to the second equation:

4x + 3(2x - 15) = -5      use distributive property

4x + (3)(2x) + (3)(-15) = -5

4x + 6x - 45 = -5       add 45 to both sides

10x = 40      divide both sides by 10

x = 4

Substitute the value of x to the equation y = 2x - 15:

y = 2(4) - 15 = 8 - 15 = -7

Answer: (4, -7)

What is 0.64 divided by 4 in standard algorithm

Answers

The answer to your is 0.16 hope this will help you.

The answer is 0.16 because 0.16 or . 16 times 4 equals 0.64 so that is your answer

17x-3y=4 2x-4y=1 the solution to the system of equations is

Answers

ANSWER

[tex]x=\frac{13}{62}[/tex]

and


[tex]y= \frac{-9}{62}[/tex]e have



EXPLANATION




[tex]17x-3y=4---(1)[/tex]


[tex]2x-4y=1[/tex]



Let us make y the subject and call it equation (2)


[tex]2x=1+4y[/tex]


[tex]x=\frac{1}{2}+2y--(2)[/tex]



We put equation (2) in to equation (1)




[tex]17(\frac{1}{2}+2y)-3y=4[/tex]


[tex]\frac{17}{2}+34y-3y=4[/tex]



[tex]34y-3y=4- \frac{17}{2} [/tex]


Simplify to get,



[tex]31y= \frac{8-17}{2} [/tex]



[tex]31y= \frac{-9}{2} [/tex]


Divide both sides by 31,



[tex]y= \frac{-9}{2} \div 31[/tex]



[tex]y= \frac{-9}{2} \times \frac{1}{31}[/tex]




[tex]y= \frac{-9}{62}[/tex]


We put this value in to equation (2) to get,



[tex]x=\frac{1}{2}+2\times -\frac{9}{62}[/tex]




[tex]x=\frac{1}{2} -\frac{18}{62}[/tex]


We collect LCM to obtain,



[tex]x=\frac{31-18}{62}[/tex]



[tex]x=\frac{13}{62}[/tex]








i need help with this please??

Answers

*(Wednesday)*

1. Simply. Show your work.

[tex]9[/tex] · [tex]5+4[/tex]            Simplify The Exponents

[tex]45+4[/tex]                            Multiply [tex]9[/tex] to [tex]5[/tex]

[tex]49[/tex]                                Add [tex]45[/tex] to [tex]4[/tex]

*(Answer)*= [tex]49[/tex]

2. Model and Solve.

[tex]4[/tex] ÷ [tex]\frac{2}{3}=?[/tex]            Use the KCF strategy

[tex]4[/tex] ÷ [tex]\frac{2}{3}=?[/tex]            K = Keep the whole number or freaction on the left

[tex]4[/tex] · [tex]\frac{2}{3}=?[/tex]             C = Change the division sign to multiply sign

[tex]4[/tex] · [tex]\frac{3}{2}=?[/tex]            F = Flip the fraction or whole number

[tex]\frac{4}{1}[/tex] · [tex]\frac{3}{2}=?[/tex]        Make [tex]4[/tex] into a fraction

[tex]\frac{12}{2}[/tex]          Multiply the numerator to another and the denominator to another

[tex]6[/tex]                         Divide 12 to 2 to simplify the fraction

*(Answer)*= [tex]6[/tex]

3. Based on the diagram, describe how a parallelogram and rectangle are related.

They are the same is because the rectangle is the same as the parallelogram because it is same shade, however, sightly tilted.

4. Solve.

- [tex]\frac{5}{8}[/tex] · [tex]\frac{1}{2}= \frac{5}{16}[/tex]

- [tex]\frac{1}{4}[/tex] · [tex]\frac{4}{5}=\frac{4}{20}=\frac{1}{5}[/tex]


If you want than I can edit the answer to add Thursdays answer

Hope this helps

Person Who Answer: BangtanBoyScouts


Riding the bus,Jasmine uses 2/3 of her money for bus fare.What is this number as a decimal?


0.3*

0.6*

0.8*

1.5*

Help asap!!!!!

Answers

The answer is 0.666....

If f(x)=x^2 and g(x)=6x+4, which value of x does (f+g)(x)=0

Answers

The answer is x  = −2

open the attachment to get the show the explaining.

what is the answer to 3(4g+6)=2(6g+9)

Answers

use the distributive property to get 12g+18=12g+18
since both sides equal each other, your answer is 0=0 & its an identity :)

Answer:

Solution: All real numbers.

Step-by-step explanation:

[tex]3(4g+6)=2(6g+9)\qquad|\text{use distributive property}\\\\(3)(4g)+(3)(6)=(2)(6g)+(2)(9)\\\\12g+18=12g+18\qquad|\text{subtract 12g from both sides}\\\\18=18\qquad TRUE[/tex]

It's an identity equation.

Meridith picked 4 times as many green peppers as red peppers how many green peppers did she pick.

Answers

She picked 16 green peppers

If a number is raised to a power of 2, it is
(a) cubed
(b) powered
(c) squared

Answers

the answer is B and I am happy to help you out
Final answer:

When a number is raised to the power of 2, it is squared. This means the number is multiplied by itself once.

Explanation:

When a number is raised to the power of 2, it is squared. Squaring a number means multiplying it by itself. For example, if you have the number 4 and you square it (raise it to the power of 2), you would multiply 4 by 4, which equals 16. Therefore, 4 squared (or 4 to the power of 2) equals 16.

Learn more about Squared Numbers here:

https://brainly.com/question/28565917

#SPJ2

Four times the difference of a number and five is 24.


Translate the sentence into an equation.

Answers

4x19=76 tada there ya go pally!

spent 305.43 on groceries she spent 213.20 in the first month how much did she spend in the second month

Answers

Total amount of money spent: 305.42

Money spent the first month: 213.20

Money spent on the second month: ??

Subtract 305.42 - 213.20= Amount of money spent the second month

Answer: 92.23

Final answer:

In Mathematics, the solution to this subtraction problem is to subtract the amount spent in the first month, $213.20, from the total amount spent on groceries, $305.43. The result is $92.23, the amount spent in the second month.

Explanation:

This appears to be a simple subtraction problem within the domain of Mathematics. If the total amount spent on groceries is $305.43 and she spent $213.20 in the first month, then to find out how much she spent in the second month, you need to subtract the amount spent in the first month from the total amount.

To solve this, you do the following calculation: $305.43 - $213.20 = $92.23.

Therefore, she spent $92.23 on groceries in the second month.

Learn more about Subtraction here:

https://brainly.com/question/20438352

#SPJ2

pam has 3 times as many green beads as red beads and twice as many blue beads as green beads. She has 150 beads in total. How many blue beads are there?

Answers

25
[tex]150 \div 3 = [/tex]
answer

You and a friend buy two fruit smoothies and leave a tip. You split the total and your half cokes to 3.60. What percent tip (in decimal form) did you and your friend leave if the fruit smoothies cost $3 each?

Answers

If you bought a $3 smoothie and your total (with tip) is $3.60, you have to divide 3.6/3. You get 1.2, which means you left a 20% tip, which would be .2 in decimal form.

Final answer:

To find the percent tip, divide the tip amount by the total cost and multiply by 100.

Explanation:

To find the percent tip, we need to first calculate the total cost of the smoothies and the tip. Since the smoothies cost $3 each, the total cost of the smoothies is $3 * 2 = $6. Let's assume the tip amount is x dollars. The split total (including the tip) is $3.60, which is equal to half of the total cost plus the tip: $3 + $3 + x = $6 + x. Solving this equation, we can find the value of x:

$6 + x = $3.60 * 2$6 + x = $7.20x = $7.20 - $6 = $1.20

The tip amount is $1.20. To find the percent tip in decimal form, we divide the tip amount by the total cost and multiply by 100: $1.20 / $6 * 100 = 20%. Therefore, you and your friend left a 20% tip.

Learn more about Percent tip here:

https://brainly.com/question/32997042

#SPJ2

how do i write 3y-9x=24 in function notation

Answers

To write an expression in function notation, you must solve it for the dependent variable.

Assuming that you want the expression to be written in the form [tex] y = f(x) [/tex] (i.e., assuming that x is the independent variable), we have to solve the expression for y, which means that we want y to remain alone on the left hand side, and move everything else to the right hand side.

So, first of all, we can add 9x to both sides to get

[tex] 3y = 9x+24 [/tex]

Finally, we divide both sides by 3:

[tex] y = 3x + 8 [/tex]

4 1/2 divide by 1 5/6

Answers

9/4 x 6/11= 27/22
That’s the answer.

please help.......if Frans fudge recipe calls for 2 1/2 cups of sugar and she increases it by 2/5 of a cup, how much sugar does she use?

Answers

For this you are adding two fractions together. You always want to make sure they are both improper or normal fractions and that they have a common denominator. To find a common denominator, you look at the denominators and look for a number (The smaller the better) that both can be multiplied by some number to get to. In this case, the common denominator is 10. To make the denominators the same you multiply by one so the value doesn't change. This is done by multiplying the numerator and denominator by the same number that results in the denominator becoming the common denominator.
2 1/2 = 5/2 × 5/5 = 25/10
2/5 × 2/2 = 4/10

When adding, the denominator remains the same and the numerators are added!
25 + 4 = 29
So the answer is 29/10 or 2 9/10 when converted back into a mixed number.
Hope this helped!

the density of pure gold 1,204 pounds per cubic foot? how many cubic feet is 481.6lbs of pure gold?

Answers

Answer:

Volume of Gold = 0.4 cubic feet.

Step-by-step explanation:

First we have to make sure the units are same as the units the answer is required in.

Answer should be given in cubic feet.

Density is given in pounds per cubic foot. And Mass is given in pounds. So units are in order. Therefore, we can go ahead with the calculation.

The Density of Gold = [Mass of Gold/Volume of Gold]

By substituting values,

[tex]1204[/tex] ponds per cubic foot = [[tex]481.6[/tex] pounds / Volume of gold]

Making Volume of God the subject of the equation,

Volume of Gold = [[tex]481.6[/tex] pounds / tex]1204[/tex] ponds per cubic foot ]

Volume of Gold = 0.4 cubic feet.

How many miles did I run

Answers

you do 4 3/4 times 5= 95/4-23 3/4

Answer: 23 3/4

Which choice is the closest estimate for the product? (5.4)⋅(3.8) A:18 B:15 C:24 D:20

Answers

(D:20) 3 times 5 is 15, but when you add the decimals it take the number up a few places

138 in =____yd___ft___in

Answers

138/36 = 3 R 30

30/12 = 2 R 6

3 yds 2 ft 6 in

What is four more than the number of weeks in a group of days

Answers

four more than the number of weeks in a group of days is broken down like this. weeks = (d/7)+4

The sentence 'four more than the number of weeks in a group of days' is converted into the equation is W = D/7 + 4.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Convert the sentence into an equation or expression.

The sentence is four more than the number of weeks in a group of days.

We know that in a week, there are 7 days. Then the equation will be

Week = (Days / 7) + 4

Simplify the equation, then the equation will be

W = D/7 + 4

The sentence 'four more than the number of weeks in a group of days' is converted into the equation is W = D/7 + 4.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

solve for x
21x+6
help please ?

Answers

subtract 6 from the 21x+6. Then divide by 21. The answer is going to be -6/21

If it equats to 0, then you send the six to where it equats as zro for it to bevome -6. It looks like this.
21x=-6.
Then send the 21 multiplied with the x to the other side. This time, it will act as division. This will look like this.
x=-6/21.
This simply means that x=-6/21.
Hope this helps.

Principal is ____.
A- the original amount invested
B- the total amount earned
C- interest plus original amount invested
D- interest on a loan

Answers

I think the answer is a

One number is 3 1/3 larger than the other. The tripled sum of these numbers is 133.What is the largest number?

Answers

Let denote the two numbers with X and Y. n represent one number

Y=X + 3 1/3

The sum of the two numbers is: X+Y=X + X + 3 1/3

The triple sum is: 3(X + X + 3 1/3)

3(X + X + 3 1/3) = 133

3X + 3X + 10 = 133            

6X + 10 = 133                    

6X = 123                            

X = 12 1/2                  , Y= X+ 3 1/3 =  12 1/2 = 3 1/3 is the largest number

Answer:

[tex]23\frac{5}{6}[/tex]

Step-by-step explanation:

Let x be the smaller number,

Thus, according to the question,

Second number or larger number = [tex]x+ 3\frac{1}{3}[/tex]

Now, sum of these number = [tex]x+x+ 3\frac{1}{3}=2x+\frac{10}{3}[/tex]

Again according to the question,

[tex]3\times ( 2x + \frac{10}{3})= 133[/tex]

[tex]6x + 10 = 133[/tex]

[tex]6x = 123[/tex]

[tex]\implies x = \frac{123}{6}[/tex]

Thus, the larger number = [tex]\frac{123}{6}+3\frac{1}{3}=\frac{123}{6}+\frac{10}{3}=\frac{123+20}{6}=\frac{143}{6}=23\frac{5}{6}[/tex]

Other Questions
Mogul officials called kept a portion of the taxes paid by peasants as their salaries HELP ASAP PLEASE!!!! WILL MARK BRAINLIEST!!!!!!A student is writing a research paper for history class about how American women won the right to vote. He is searching the following text for evidence to use in his report. Read the text and the directions that follow.The 19th Amendment, which granted American women the right to vote, passed in 1920. But it had taken many years for women to win suffrage. (Suffrage is another way of saying the right to vote.) The National American Woman Suffrage Association was led by Susan B. Anthony and Elizabeth Cady Stanton. They did not push for a national womens suffrage law. Instead, they worked state by state to win the vote for women. They were most successful in the West. Many people think that was because mens and womens roles were not as rigidly defined in the newer settlements as they were in the more established East.Members of the National Womans Party, on the other hand, hoped for a national amendment for womens suffrage. Alice Paul was their leader. She had worked toward womens suffrage in England. They took direct action. They picketed at the White House. Some were arrested and went on hunger strikes in jail. After they supported President Woodrow Wilsons decision for the United States to get involved in World War I, they asked, Mr. President, what will you do for woman suffrage?Which conclusion can the student make based on the evidence in the text?Choice 1Women were patriotic so they should have the right to vote.Choice 2Women needed widespread public support in order to win the right to vote.Choice 3Womens groups used different methods in order to obtain the right to vote.Choice 4Picketing the White House was the most effective way to win womens suffrage. Arrange the events in chronological order. 1 Charles I accepted the petition of right2chares I ruled without parliament for 11 years3charles I convened parliament to raise taxes to crush a revolt in Scotland4supporters of Charles I,the royalists, engaged in a civil war wirth the roundheads, supporters of parliament5the roundheads defeated the royalists and England became a commonwealth what is the base 8 representation of the number 11100111(2)A) 231(8)B) 329(8)C) 347(8)D) 385(8) What is 4/9 - (-2/9) You want to estimate the mean weight loss of people one year after using a popular weight-loss program being advertised on TV. How many people on that program must be surveyed if we want to be 95% confident that the sample mean weight loss is within 0.25 lb of the true population mean? Assume that the population standard deviation is known to be 10.6 lb. NEED A CORRECT ANSWER NOW!!WILL MARK BRAINLIEST!!Which sentence contains a misplaced modifier?A. The teacher shared the poems that her students wrote.B. My brother ate the candy that i had hidden in my dresser.C. The children are in the art class that is held at the recreation center.D. The dogs know several commands that take the obedience class. Who first despised the Christian movement but then later traveled to preach Jesuss message?PaulPeterPontius pilate ConstantineHelp Bold european artworks displayed in the armory showed helped change the style of art in america What is the federal agency that enforces laws against employment discrimination? Choose the correct statement about the periodic table's organization from the choices below. On a number line, the distance from zero to -9 is 9 units.Which equation demonstrates this concept?A. 0 + 9 = 9B. |-9| = -9C. |-9| = 9D. 92 = 81 Write the word sentence as an equation. Then solve. The product of 15 and a number x is 75. Question 1 Unsaved"As a doctor, I am qualified to tell you that this course of treatment will likely generate the best results."Question 1 options:EthosPathosLogosQuestion 2 (1 point) Question 2 Unsaved"Research compiled by analysts from NASA, as well as organizations from five other nations with space programs, suggests that a moon colony is viable with international support."Question 2 options:EthosPathosLogosQuestion 3 (1 point) Question 3 Unsaved"More than one hundred peer-reviewed studies have been conducted over the past decade, and none of them suggests that this is an effective treatment for hair loss."Question 3 options:EthosPathosLogosQuestion 4 (1 point) Question 4 Unsaved"If my age doesnt convince you that I know what I'm talking about, at least consider that I am your grandfather and I only want the best for you."Question 4 options:EthosPathosLogosQuestion 5 (1 point) Question 5 Unsaved"Where would we be without this tradition? Ever since our forefathers landed at Plymouth Rock, weve celebrated Thanksgiving without fail, making more than cherished recipes. Weve made memories."Question 5 options:EthosPathosLogosQuestion 6 (1 point) Question 6 Unsaved"Our expertise in roofing contracting is evidenced not only by our 50 years in the business and our staff of qualified technicians, but in the decades of satisfied customers who have come to expect nothing but the best."Question 6 options:EthosPathosLogosQuestion 7 (1 point) Question 7 Unsaved"You will never be satisfied in life if you dont seize this opportunity. Do you want to live the rest of your years yearning to know what would have happened if you just jumped when you had the chance?"Question 7 options:EthosPathosLogos Ming took a cab across town. His fare was \$22$22dollar sign, 22, and he leaves an 18\%18%18, percent tip. Find a unit rate A 13 ounce package of pistachios cost 5.99 I need help with a review test. Could someone help out with a few answers? I'm struggling to wrap my head around this, and I have a test tomorrow Could someone explain this to me???? If Ruben has 6 new books for his collection. This increases his collection by 12%. How many books does he have now? 6 + 2(x-4) = 12 what is X