BC has a midpoint at M(6, 6). Point C is at (2, 10). Find the coordinates of point B.

Answers

Answer 1

Answer:

The coordinates of B are (10,2)

Step-by-step explanation:

Hi there!

We know that BC has a midpoint M, with the coordinates (6,6), and the endpoint C, with coordinates (2, 10)

We want to find the coordinates of point B

The midpoint formula is [tex](\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2})[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2 , y_2)[/tex] are points. In this case, the point C has the values of [tex](x_1, y_1)[/tex], and B has the values of [tex](x_2 , y_2)[/tex]

We know that coordinates of M equal [tex](\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2})[/tex]

In other words,

[tex]\frac{x_1 + x_2}{2} = 6\\ \frac{y_1+ y_2}{2}=6[/tex]

Let's plug 2 for [tex]x_1[/tex] and 10 for [tex]y_1[/tex]

So:

[tex]\frac{2 + x_2}{2} = 6\\ \frac{10+ y_2}{2}=6[/tex]

Multiply both sides by 2

[tex]{2 + x_2} = 12\\{10+ y_2} =12[/tex]

Subtract 2 from both sides in the first equation to find the value of [tex]x_2[/tex]:

[tex]x_2=10[/tex]

Now, for the second equation, subtract 10 from both sides to find the value of [tex]y_2[/tex]

[tex]y_2=2[/tex]

Now substitute these values for [tex](x_2, y_2)[/tex]

[tex](x_2, y_2)=(10,2)[/tex]

So the coordinates of point B are (10, 2)

Hope this helps!


Related Questions

$9000.00 decreased by 0.5% is what?

Answers

Answer:

8955$

It got deleted because an idiot reported me.

EMERGENCY!!!! Each hour, every person who knows a rumor tells two other people. If one person starts the rumor, then after the first hour, three people know the rumor. The next hour, those three people each tell two more people. After eight hours, how many people will know the rumor? You do not have to include units in your answer. (I've asked this question before but the answers I got were 384 and 64 and they were both wrong)

Answers

Answer:

After eight hours 6,561 people will know the rumor.

Step-by-step explanation:

Since each hour, every person who knows a rumor tells two other people, so that if one person starts the rumor, then after the first hour, three people know the rumor, and the next hour, those three people each tell two more people, to determine after eight hours, how many people will know the rumor, the following calculation must be performed:

Hour 0 = 1

Hour 1 = 1 + 2 = 3

Hour 2 = 3 + 2 x 3 = 9

Hour 3 = 9 + 2 x 9 = 27

Hour 4 = 27 + 2 x 27 = 81

Hour 5 = 81 + 2 x 81 = 243

Hour 6 = 243 + 2 x 243 = 729

Hour 7 = 729 + 2 x 729 = 2,187

Hour 8 = 2,187 + 2 x 2,187 = 6,561

Therefore, after eight hours 6,561 people will know the rumor.

Find the value of the ratio.

Can someone help please???

Answers

Answer:

Sine= opp/hyp the oppisite is 27, and the hypotnuse is 45, so the sin of Z is 27/45

Step-by-step explanation:

Simplify 5c(2/5d-4)-3(c+2)+d(c+5)

Answers

Hey there!

-3(c+2)+d(c+5)

All you have to do is DISTRIBUTE

-3(c) + (-3)(2) + d(c) + d(5)

-3c - 6 + cd + 5d

SOLVE ABOVE and you have your ANSWER

Answer: cd - 3c + 5d - 6

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

P deceased by the total of q and r

Answers

Answer:

P deceased by the total of q and r

Answer:

The answer is: p-(q+r)

Hope that helps. I just did it on my test and I got it right :D

SOMEONE PLEASE HELP ME WILL GIVE BRAINLY

Answers

Answer:

Let me get my homie on here to help you.

Step-by-step explanation:

If x = 2, y = 3 and z = 4, calculate the value of each of the following algebraic expression: 4z + 3x - y

Answers

Answer:

the answer be 19 .. also u can use photomath I gives u answers and tells u how ro do them

The answer is 19

4(4) + 3(2) - 3

16 + 6 - 3

22 - 3

19

Choose the equation where b= 6 11-b=6 b+4=9 8xb=48 63/3=9

Answers

8b=48 because 8 divided by 48 is 6

Eight students are competing for a blue, red, and yellow ribbon for their agriculture project. How many different ways are there to present those ribbons if the order matters? 56 336 6,720 8,064

Answers

Answer:

the answer is B.336

Step-by-step explanation:

got it right on ed

There are 336 different ways are there to present those ribbons if the order matters.

What is the combination?

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Eight students are competing for a blue, red, and yellow ribbon for their agriculture project.

Different ways are there to present those ribbons if the order matters.

By permutations, we have to calculate the number of different  ways to arrange the ribbon is;

[tex]=3 \times 2\times 1\\\\=6[/tex]

Now, we have to calculate the different  ways to choose 3 winners from 8 is;

[tex]=8\times 7\times 6\\\\=336[/tex]

Therefore, the correct option is (b), 336 ways are there to present those ribbons if the order matters.

For more details about the combination refer to this link:

brainly.com/question/1216161

#SPJ2

What is the mean of the set of data? 18, 11, 16, 8, 16, 21 plz help

Answers

The mean of the data is 15 all you gotta do is add all the number up and divide by the numbers added

file:///C:/Users/USER/Downloads/Documento%20sin%20t%C3%ADtulo%20(5).pdf

Answers

Answer:

Hm

Step-by-step explanation:

Interesting get i guess

Please help me with this!!!

Answers

Search up on the web GCF Calculator

In circle O below AB is a diameter and m

Answers

The measure of arc AC is 40°
Step-by-step explanation:
In any circle the measure of an inscribed angle is one-half the measure of its subtended arc
In circle O
∵ ∠BAC is an inscribed angle subtended by arc BC
∴ m∠BAC = m arc BC
∵ m∠BAC = 70°
- Substitute it in the the expression above
∴ 70 = m arc BC
- Multiply both sides by 2
∴ 140 = m arc BC
∴ The measure of arc BC is 140°
∵ AB is a diameter
- The diameter divides the circle into two equal arcs
∴ m of arc ACB = measure of the circle
- The measure of the circle is 360°
∴ m of arc ACB = (360°)
∴ m of arc ACB = 180°
∵ m arc BC + m arc AC = m arc ACB
∴ 140° + m arc AC = 180°
- Subtract 140 from both sides
∴ m arc AC = 40°
The measure of arc AC is 40°

Can someone please help me

Answers

Answer:

Number 1: 1 2/4 or 1 1/2

Number 2: 2 4/6

Number 3: 5/6

Step-by-step explanation:

For Numbers 1 and 2... You'd have to separate the whole number from the fraction and subtract accordingly.

Number 1: 2-1=1 and 3/4-1/4=2/4

So you would get 1 2/4.

Number 2: 3-1=2 and 5/6-1/6=4/6  

You would get 2 4/6

For Number 3 you would have to find the LCD (Least common denominator) for 1/2 and 2/3.

The answer will then be 5/6.

(I couldn't solve number 4 because it wasn't visible.)

I hope I helped! Leave a rating and a Thanks below. :D

HELP ASAPPP! I WILL GIVE BRAINLEST TO THE RIGHT PERSON

Answers

Answer:

E and H are the correct answers

Step-by-step explanation:

the base of a triangle is 18 in. the height is 10 in. what is the area of this triangle

Answers

Answer:

90 in²

Step-by-step explanation:

Formula for a triangle is bh/2

b = 18

h = 10

[tex] \frac{18 \times 10}{2} = 90[/tex]

Suppose you and your friends form a band and you want to record a demo. Studio A rents for $125 plus $50 an hour and Studio B rents for $200 and $30 an hour. Let t = the number of hours and c = cost.
Write an equation to represent the cost at each studio (2 points)
Solve the system (2 points)
Write the solution as a point (x, y) (2 points)

Answers

Answer:

Cost A = 125 + 50t

Cost B = 200 + 25t

Step-by-step explanation:

Answer:

Cost A = 125 + 50t

Cost B = 200 + 25t

Step-by-step explanation:

(2,200) And also the graph

a) how many 15-year old students took part in the survey?

Answers

By observing the frequency polygon,

the number of 15 year old students who took part in the survey are 300.

What is frequency polygon?

A frequency polygon is almost identical to a histogram, which is used to compare sets of data or to display a cumulative frequency distribution. It uses a line graph to represent quantitative data.

To calculate the number of students, we add all frequency points corresponding to the time intervals.

Learn more about frequency polygon here

https://brainly.com/question/1581651

#SPJ2

300% of what number is 75?.

Answers

Answer:

25

Step-by-step explanation:

Find the number by dividing 75 by 3, since 75 is the number tripled.

75/3

= 25

So, 300% of 25 is 75.

Answer:

25

Step-by-step explanation:

300% * x = 75

300/100 * x = 75

x = 75 * 100/300

x = 25

Evaluate: 19 - 3k] = 3

Answers

Answer:

k = [tex]5\frac{1}{3} ,7\frac{1}{3}[/tex]

Step-by-step explanation:

|19 - 3k| = 3

-3k = 3 - 19

-3k = -16

k = 16/3

k = 5 1/3

-19 + 3k = 3

3k = 3 + 19

3k = 22

k = 22/3

k = 7 1/3

The function f(x) = |x| is shifted to the left 3 units and down 2 units to make the function g(x) . Write the equation g(x) that illustrates this change.

Answers

Answer:

g(x) = |x+3|-2

Step-by-step explanation:

to move horizontally replace each x with (x ± c)

if you move it to the right, you need x - c

if you move it to the left , you need x + c

so , since we are moving 3 units to the left, we replace the x with x+3

g(x) = |x+3|-2

What is the VALUE OF X PLS HELPP

Answers

Answer: I think it would be 285.

Step-by-step explanation:

A circle is 360* so I did 360-75. Hope this helps!!!

Please help link= report I’ll give you brainiest if correct worth 7 points

Answers

Answer:

D is the answer.

Step-by-step explanation:

D is basically telling us the y intercept.

A is wrong because the report is about Joyce classmates, not just herself.

B is weo g because it shows the x intercept not y intercept.

C is wrong because her amount of times is undefinable.

Can u help solve this step by step?

Answers

Answer:

[tex]\sqrt{28}[/tex]

Step-by-step explanation:

It is given that the triangle (QRS) is right, thus one can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states,

[tex](a)^2+(b)^2=(c)^2[/tex]

Where (a) and (b) are the legs or the sides adjacent to the right angle and (c) is the hypotenuse or the side opposite the right angle. The unknown side in the triangle is a leg, thus, let (b) represent this value. Substitute in the given values and solve,

[tex](6)^2+(b)^2=(8)^2\\\\36+b^2=64\\\\b^2=28\\\\b=\sqrt{28}[/tex]

Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.

Answers

Answer:

b

Step-by-step explanation:

first, group the terms with the same power together and it would become (-9n⁵-4n⁵)+(n³-9n³)+(11n+6n). then, combine the terms in each group together which would get -13n⁵-8n³+17n as the answer

$78 is what % of $120?

Answers

Answer:

Step-by-step explanation:

Step one you make the a SSUMPTION that 120 is 100% since it is your output value, step to you next represent the value you seek with X yes, step three form step one, it follows that hundred percent equals 120, step four in the same VEIN, X percent equals 78, step five it gives you a pair of simple equations like 100% equals 120 (1)
X percent equals 78(2)
And step six you simply divide equation one by equation 2 and taking note of the fact that both the LHS (left-hand side) of both equations have the saying unit( percentage)
Therefore, 78 is 65% of 120

I hope this really helps...

HELP FAST PLSS I WILL GUVE BRAINLYEST

Answers

The answers are
1. -12
2. 1
3. -14

i’ll award brainliest! no links

Given ABC is congruent to XYZ. If AC = 10, determine the length of YZ.

Answers

YZ=8.66 see pic for work

what is -5 plus s/5 Les than of equal to 7?

Answers

Answer:

subtract 7 and then divide them

Write an example of a composition of rigid
motions for APQR.

Answers

Answer:

To review, the rigid motions are translations (slides), rotations (spins/turns), and reflections (flips). All of these types of motions occur without changing the shape of the object or figure being moved.

Step-by-step explanation:

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