In the standard (4) coordinate plane, the coordinates of the midpoint of AB are (6,8) and the coordinates of A are
(3,2). What are the coordinates of B ?

A. (0,-4)
B.(3,6)
C.(9/2,5)
D. (9,14)
E.(-3,-6)

Answers

Answer 1

Final answer:

To find the coordinates of point B, use the midpoint formula and solve the equations.

Explanation:

To find the coordinates of point B, we can use the formula for finding the midpoint of a line segment. The midpoint of AB is given as (6,8), and the coordinates of A are (3,2). Let's call the coordinates of B as (x,y).

According to the midpoint formula, the x-coordinate of the midpoint is the average of the x-coordinates of A and B, and the y-coordinate of the midpoint is the average of the y-coordinates of A and B.

So, we can set up the following equations:

(3+x)/2 = 6 and (2+y)/2 = 8

Solving these equations, we find that x = 9 and y = 14.

Therefore, the coordinates of point B are (9,14).


Related Questions

how do you solve 2i and 2ii​

Answers

Answer:

15 and 21

Step-by-step explanation:

Given the n th term formula

T = 2n + 5

To find the 5 th and 8 th terms substitute n = 5 and n = 8 into the formula

[tex]T_{5}[/tex] = (2 × 5) + 5 = 10 + 5 = 15

[tex]T_{8}[/tex] = (2 × 8) + 5 = 16 + 5 = 21

Given:

Tn = 2n+5

`The fifth term, i.e., n=5

Substituting the value inside the formula we get,

2(5) + 5 => 10 + 5 => 15

   2.  The Eighth term, i.e., n=8

Substituting the value inside the formula we get,

2(8) + 5 => 16 + 5 => 21

12x +10+3+8x ? What do I have to do ?

Answers

Simplifying

12x + 10 + 3 + 8x = 0

Reorder the terms:

10 + 3 + 12x + 8x = 0

Combine like terms: 10 + 3 = 13

13 + 12x + 8x = 0

Combine like terms: 12x + 8x = 20x

13 + 20x = 0

Solving

13 + 20x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13' to each side of the equation.

13 + -13 + 20x = 0 + -13

Combine like terms: 13 + -13 = 0

0 + 20x = 0 + -13

20x = 0 + -13

Combine like terms: 0 + -13 = -13

20x = -13

Divide each side by '20'.

x = -0.65

Simplifying

x = -0.65

Answer:

You have to do like terms

Step-by-step explanation:

12x+10+8+8x

12x+8x = 20x

10+3 = 13

your answer would be

20x+10

The points (3,2) and (6, r) lie on a line slope -3. Find the missing cordinate

Answers

[tex]\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{r}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{r}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{3}}}~~=~~\stackrel{\stackrel{slope}{\downarrow }}{-3}\implies \cfrac{r-2}{3}=-3\implies r-2=-9\implies r=-7[/tex]

let f be a linear function such that f(1)=5 and f(3)=9. Find an equation for f(x)

Answers

Answer:

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

Step-by-step explanation:

First, we can find the slope of the line.

[tex]m = \frac{y1-y2}{x1-x2}\\m=\frac{9-5}{3-1}\\m = \frac{4}{2}=2\\[/tex]

Using the [tex]y = mx + b[/tex] equation, we can solve for b

[tex]9 = 2(3)+b\\9 = 6 + b\\b = 9-6 = 3[/tex]

Let's see if [tex]y = 2x + 3[/tex] works

[tex]2(1) + 3 \\2 + 3 = 5\\\\2(3) + 3\\6 + 3 = 9[/tex]

It checks out!

If f(1)=5 and f(3)=9 we are given two points, so we can use the slope intercept form to find the equation of f(x)

Points:(1,5),(3,9)

Slope intercept form: y2-y1=m(x2-x1)

9-5=m(3-1)
4=m(2)
m=2

f(x)=2x+b Plug in a point and solve for b

5=2(1)+b
3=b

Answer: f(x)=2x+3

Does any one know this??

Answers

Answer:

Scalene triangle

Step-by-step explanation:

The correct answer is scalene triangle because this type of triangle has angles of many different sizes or measures ;)

PLEASE DO MARK ME AS BRAINLIEST IF MY ANSWER IS HELPFUL :)

Answer:

B. Scalene Triangle

Step-by-step explanation:

All angles and sides are incongruent, according to the what you see in the triangle.

I am joyous to assist you anytime.

You are playing basketball with your friends. The height (in feet) of the ball above the ground t seconds after a shot is released from your hand is modeled by the function f(x)=-16^2 + 32t + 5.2

Answers

Answer:the ball is released when t = 0

The ball is 5.2 feet above the ground when it is released

The ball is 5.2 feet in height from the ground and it will hit the ground after 2 seconds.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

Given the function has height with time t

f(x)=-16t² + 32t + 5.2

At the time of release, the value of time t will be 0

So, t = 0

f(x) = 0 + 0 + 5.2 ⇒ f(x) = 5.2 feet

So height is 5.2 feet

Now,

The time taken to cover this height will be

5.2 = 16t² + 32t + 5.2

16t² + 32t = 0

16t(t + 2) = 0

t = 0 and -2

Since if some height exists then time can never be 0 and time also does not exist in negative so consider 2.

Hence "The ball is 5.2 feet in height from the ground and it will hit the ground after 2 seconds.

For more about the function,

brainly.com/question/23712366

#SPJ2

six more than twice a number is 24​

Answers

Answer:

Step-by-step explanation:

I would say the answer is 6

6 + 6 than times by two is 24

A lawyer has an annual income of $173, 482 and will pay a 5.5% income tax rate. What is the amount of income tax in dollars and cents that the lawyer will have too pay?​

Answers

Final answer:

The lawyer with an annual income of $173,482 and a tax rate of 5.5% will pay $9,541.51 in income taxes.

Explanation:

To calculate the amount of income tax that the lawyer needs to pay, we multiply their annual income by the income tax rate. In this case, the lawyer has an annual income of $173,482 and the income tax rate is 5.5%. The calculation would be:

Income Tax = Annual Income × Income Tax Rate

Income Tax = $173,482 × 0.055

Income Tax = $9,541.51

Therefore, the lawyer will pay $9,541.51 in income taxes.

Liam bought a comic book and had $5 left. If he had a total of $8 walking into the store, how much did he spend on the comic book?

Liam used the equation 5x=8 to model the problem. He said that x represents the amount of money he spent. Liam said that the solution, x=1.6, means that he spent $1.60. Is he correct? Why or why not? If he is incorrect find the correct answer showing your work.

Pls Help Me

Answers

Answer: The comic book was $3.

Step-by-step explanation:

Instead of 5x=8, it should have been 5+x=8 because he only purchased a single comic book. Subtract 5 from 8 and your X value is 3.

Answer:

Liam spent $3 on the book.

Step-by-step explanation:

Liam bought a comic book and had $5 left.

He had a total of $8 walking into the store, so he spent [tex]8-5=3[/tex] dollars on the comic book.

Liam used the equation 5x=8 to model the problem.

This is wrong. The correct form would have been [tex]8-x=5[/tex] or [tex]5+x=8[/tex] where x represents the amount of money he spent.

Hence, Liam spent $3 on the book.

There was 5/8 of pie left in the fridge. Daniel are 1/4 of the leftover pie. How much of pie did he have?

Answers

Answer:

he had 1/4 of the pie; there's 3/8 left over. That's also 37.5% of the pie left over. Not sure what you're trying to get.

Step-by-step explanation:

1/4 is also 2/8

2x - 3y = 3
x + 2y = 5
by substitution or elimination

Answers

2x - 3y = 3

x + 2y = 5

In the second equation we have an x-term that has a coefficient of 1 (which means the x is all by itself), so we can isolate that x and solve by substitution.

x + 2y = 5

x + 2y - 2y = 5 - 2y

x = 5 - 2y

The expression 5 - 2y will be substituted for x in the first equation.

2x - 3y = 3

2(5 - 2y) - 3y = 3

Solve for y.

2(5 - 2y) - 3y = 3

10 - 4y - 3y = 3 (distribute the 2)

10 - 7y = 3 (collect like terms)

-7y = -7 (subtract 10 from both sides)

y = 1 (divide both sides by -7)

Substitute 1 for y in the second equation to find x.

x + 2y = 5

x + 2(1) = 5

Solve for x.

x + 2(1) = 5

x + 2 = 5 (multiply)

x = 3 (subtract 2 from both sides)

Always check your work. Substitute into the original system.

2x - 3y = 3

2(3) - 3(1) = 3

6 - 3 = 3

3 = 3

x + 2y = 5

3 + 2(1) = 5

3 + 2 = 5

5 = 5

Answer:

x = 3 and y = 1; (3,1)

15 POINT PLZ HURRY a kitchen measures 24 1/6 feet by 9 2/3 estimate the area of the kitchen
show work plz

Answers

Answer:

223 11/8 ft squared

Step-by-step explanation:

i made an improper fraction first then multiplied the numerators together and the denominators together and got 4205/18 then i simplified and got 233 11/18

145  x  29   =  4205  =  233 11/18

 6        3            18

What happened on September 11, 2001?

Answers

Answer:

On 11 September 2001 (known as 9/11 in America), Islamist extremists hijacked four planes that were flying above the US. Two of them were flown into the twin towers of the World Trade Center in New York. Another was crashed into the Pentagon, the top military building in the capital city, Washington DC.

Step-by-step explanation:

Answer:

On the morning of September 11, 2001, 19 al-Qaeda terrorists hijacked four commercial passenger jet airliners, intentionally crashing two into the World Trade Center in New York City. The hijackers crashed a third airliner into the Pentagon. The fourth plane crashed in a field near Shanksville, Pennsylvania.

Hope this helps :)

convert 35 inches into feet​

Answers

Answer:

2.91666667 ft

Step-by-step explanation:

2ft 11in
Or
2.91667(just feet)

Which formula can be used to describe the sequence below?
-8, -5, -2, 1,4,

Answers

Answer:

add by 3

Step-by-step explanation:

-8+3=-5

-5+3=-2

-2+3=1

1+3=4

Answer:

Step-by-step explanation:

this is a arithmetic sequence   the first term is : A1 = -8

the comon difference is d = -5-(-8) =-2-(-5) =1-(-2) = 4-1 =3

the  formula can be used to describe this sequence is :

An =A1 +(n-1)d

An = -8 +3(n-1)

An = 3n -11

I need the answer for number 6 please:)

Answers

Answer: 12.5

25 / 2 = 12.5

and so does

25 x .50 = 12.5

We are just cutting the price in half, or 50%.

Hope this helps you!

A line is parallel to y = 3x - 12 and
intersects the point (1, -2). What is the
equation of this parallel line?

Answers

Answer:

y=3x-5

Step-by-step explanation:

parallel means that both lines share the same gradient.

from the equation y=3x-12 , we can deduce that the gradient is 3 because it is in the gradient-intercept form

now substitute values into formula

y-y1=m (x-x1)

y--2=3 (x-1)

expand brackets and simplify

y+2=3x-3

subtract 2 from both sides of equation

y=3x-5

HELP WITH THE ONES CIRCLED PLEASE HELP ASAP

Answers

Answer:

4. as they move clockwise they change/gain .01 points

5. .32 , .33 , .34 , .36 , .37 , .39

.8 , .81 , .83 , .85 , .86 , .88

Step-by-step explanation:

Malachi’s garden is 2 3/5 meters long. He wants to plant tomato plants every 1/5 of a meter. How many plants can Malachi fit?

Answers

2 3/5= 13/5
(13/5)/(1/5)=(13/5)5=13
answer: A maximum of 13 tomato plants :)

Answer:

13 plants.

Step-by-step explanation:

We have been given that Malachi’s garden is 2 3/5 meters long. He wants to plant tomato plants every 1/5 of a meter.

To find the number of tomato plant that will fit the garden, we will divide length of garden by 1/5 as:

[tex]\text{Number of tomato plant that will fit the garden}=2\frac{3}{5}\div \frac{1}{5}[/tex]

Convert mixed fraction into improper fraction:

[tex]2\frac{3}{5}\Rightarrow\frac{2\times5+3}{5}=\frac{10+3}{5}=\frac{13}{5}[/tex]

[tex]\text{Number of tomato plant that will fit the garden}=\frac{13}{5}\div \frac{1}{5}[/tex]

Convert to multiplication problem by flipping the 2nd fraction:

[tex]\text{Number of tomato plant that will fit the garden}=\frac{13}{5}\times \frac{5}{1}[/tex]

[tex]\text{Number of tomato plant that will fit the garden}=\frac{13}{1}\times \frac{1}{1}[/tex]

[tex]\text{Number of tomato plant that will fit the garden}=13[/tex]

Therefore, 13 plants will fit Malachi's garden.

551.985 in expanded notation

Answers

Answer:

(5 x 100) + (2 x 50) + (1 x 1) + (9 x 0.10) + (8 x 0.01) + (5 x 0.001)

Answer:

(5 x 100) + (1 x 50) + (1 x 1) + (9 x 1/10) + (8 x 1/100) + (5 x 1/1000)

step by step explanation:

500 + 50 + 1 + 0.9 + 0.08 + 0.005

= 551.985

can anyone find the measurements of these angles (#7 ONLY THANK U)

Answers

The measure of angle2=m angle 6 (Corresponding angle)
So 3x+28= 5x-30
Subtract both side for 3x
28= 2x-30
Add 30 to both sides
58=2x
So x= 29
Therefore m angle 2= m angle 6= 115•
so m4= 180-115= 65•(supplementary theorem)
m2=m3= 115• (vertical angles)
Keep doing it due to these theorem you will get all the answers.

PLEEASSSSEEEE HHEEEEELLLLPPPPPPPP !!!!!!!!!!!!!!!!!!!!!!!!!!! Circle R is shown. Line segments Q R and S R are radii. The length of Q R is 18. Sector Q R S is shaded. The measure of central angle QRS is StartFraction 8 pi Over 9 EndFraction radians. What is the area of the shaded sector? 36Pi units squared 72Pi units squared 144Pi units squared 324Pi units squared

Answers

Answer:

[tex]144\pi\ un^2.[/tex]

Step-by-step explanation:

In the attached diagram, circle R is shown. Line segments QR and SR are radii and QR = SR = 18 units.

The measure of the central angle QRS is [tex]\dfrac{8\pi}{9}[/tex]

1. Find the area of the whole circle:

[tex]A_{circle}=\pi r^2=\pi \cdot 18^2=324\pi \ un^2.[/tex]

2. Note that the whole circle is determined by the full rotation angle with measure [tex]2\pi[/tex] radians. So,

[tex]\begin{array}{cc}\text{Angle}&\text{Area}\\ \\2\pi &324\pi \\ \\\dfrac{8\pi }{9}&A_{sector}\end{array}[/tex]

So, write a proportion:

[tex]\dfrac{2\pi}{\frac{8\pi}{9}}=\dfrac{324\pi}{A_{sector}}[/tex]

Cross multiply

[tex]2\pi \cdot A_{sector}=324\pi \cdot \dfrac{8\pi }{9}\\ \\A_{sector}=162\pi \cdot \dfrac{8}{9}=144\pi\ un^2.[/tex]

Answer:

144

Step-by-step explanation:

SOLVE FAST BRAINLIEST ASAP

Y-9=41

Answers

Answer:

Y = 50

Step-by-step explanation:

Solve for Y:

Y - 9 = 41

Add 9 to both sides:

Y + (9 - 9) = 9 + 41

9 - 9 = 0:

Y = 41 + 9

41 + 9 = 50:

Answer:  Y = 50

Answer:

Y=50

Step-by-step explanation:

First you have to know that whatever you do to one side of the equal sign you must do to the other. Now you want to try and get rid of the 9 so you can separate the variable.

Y-9=41

+9 +9

Y = 50

Allen Barry deposited checks
totaling $1,584.19 into his savings
account. He withdrew $96.00 while
depositing some loose change. Allen's
total deposit was $1,530.24. How much
did he deposit in loose change?​

Answers

The answer for this is 42.05

Answer:

$42.05

Step-by-step explanation:

Take $96.00 from 1,584.19 to figure out how much he had before he deposited

1,584.19 - 96 = 1,488.19

Now take away what he had after he took 96, to after he added.

1,530.24 - 1,488.19 = 42.05

Allen deposited $42.05

-9x-6y=15,9x-10y=145

Answers

-9x-6y=15

9x-10y=145

Find y first by eliminating the x.

Add the two equations together.

-9x+9x-6y+-10y=15+145

-6y+-10y=15+145

-6y-10y=160

-16y=160

divide both sides by -16 to get +y

-16y/-16=160/-16

y=-10

Use the substitution method to find x

-9x-6y=15

-9x-6(-10)=15

Do the bracket first

-9x+60=15

Move +60 to the other side. Sign changes from +60 to -60.

-9x+60-60=15-60

-9x=-45

Divide both sides by -9

-9x/-9=-45/-9

x=5

Answer:

( 5,-10)

one fifth of a number decreased by 7​

Answers

Let n = the number

(1/5)n - 7

Solve for the indicated variable y=5x-6(x)

Answers

Answer:

x=-y

Step-by-step explanation:

What is the equation for the line that passes through the points (-5, 2) and (5,-6)?​

Answers

Answer:

4x + 5y = -10 or y = -⅘x - 2

Step-by-step explanation:

First, find the rate of change [slope]:

-y₁ + y₂\-x₁ + x₂ = m

[tex] \frac{ -2 - 6}{5 + 5} = - \frac{8}{10} = - \frac{4}{5} [/tex]

Then use the Point-Slope Formula since we are given points. Now, according to this formula, all negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting the coordinates into the formula with their CORRECT signs. It does not matter which one you choose:

y - y₁ = m(x - x₁)

y + 6 = -⅘(x - 5)

y + 6 = -⅘x + 4

- 6 - 6

_______________

y = -⅘x - 2

If you want it in Standard Form:

y = -⅘x - 2

+x +⅘x

___________

⅘x + y = -2 [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]

5[⅘x + y = -2]

4x + 5y = -10 >> Line in Standard Form

__________________________________________________________

y - 2 = -⅘(x + 5)

y - 2 = -⅘x - 4

+ 2 + 2

______________

y = -⅘x - 2

y = -⅘x - 2

+x +⅘x

___________

⅘x + y = -2 [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]

5[⅘x + y = -2]

4x + 5y = -10 >> Line in Standard Form

** You see? I told you that it would not matter which ordered pair you choose because you will always get the exact same result!!!

I am joyous to assist you anytime.

4.) At a school fundraiser for every 9 boxes of
chocolate sold you earn 6 points. If you were
to sell 33 boxes, how many points would you
have earned?​

Answers

22 points. For every 9 boxes, you’re reworded with 6 points for the total of 9boxes. 33 boxes divided by 9=3.7*2 which is 22

What is 13.56 • 10 to the power of -8

I rlly need this for math tomorrow

Answers

Answer 0.0000001356

Step-by-step explanation:Since the exponent of the scientific notation is negative, move the decimal point

8 places to the left.

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