In a polar coordinate system, the midpoint of the line segment whose endpoints are $\left( 8, \frac{5 \pi}{12} \right)$ and $\left( 8, -\frac{3 \pi}{12} \right)$ is the point $(r, \theta).$ Enter $(r, \theta),$ where $r > 0$ and $0 \le \theta < 2 \pi.$

Answers

Answer 1

Answer:

Step-by-step explanation:

Given the coordinate points (8, 5π/12) and (-3, π/12)

The midpoint is expressed using the formula

M(X,Y) = {(x1+x2)/2, (,y1+y2)/2}

X = x1+x2/2

X = 8-3/2

X = 5/2

Y = y1+y2/2

Y = (5π/12+π/12)/2

Y = (6π/12)/2

Y = 6π/24

Y = π/4

Hence the required coordinate is at(2.5, π/4)


Related Questions

At a farm, four employees harvest 48 pounds of food over a certain number of hours. Each employee works the number of hours shown. Employee A6 Employee B :4 employee C:8 employee D:8 The number of pounds of food harvested by each employee is potential to the number of hours worked.

Answers

Answer:

A harvest = 11 pound (Approx)

B harvest = 7 pound (Approx)

C harvest = 15 pound (Approx)

D harvest = 15 pound (Approx)

Step-by-step explanation:

Given:

A - 6

B - 4

C - 8

D - 8

Total harvest = 48 pound

Computation:

Total hour = 6+4+8+8

Total hour = 26 hour

A harvest = 48(6/26)

A harvest = 11 pound (Approx)

B harvest = 48(4/26)

B harvest = 7 pound (Approx)

C harvest = 48(6/26)

C harvest = 15 pound (Approx)

D harvest = 48(6/26)

D harvest = 15 pound (Approx)

Rob is buying some green apples to make some fresh apple juice. The price of the green apples is G and Rob has a coupon for 10% off. Consider the expressions given in the answers. Which expression is the price of the green apple after using the coupon?
A) 1.1g
B) 0.1g
C) g – 0.1g
D) g
E) g – 0.1

Answers

C) g-0.1g
You multiply gx0.1 then subtract that from the price of apple (g).

Answer:

c

Step-by-step explanation:

Find the slope of the line that passes through
(10, 1) and (5,2)

Answers

Answer:

the slope of the line is -1/5

remember, rise over run.

Step-by-step explanation:

May I have brainliest please? :)

Answer:

[tex]m=-\frac{1}{5}[/tex]

Step-by-step explanation:

Multiply ()
Part A: What is/are the restricted value(s)?
Part B: What factor(s) can be eliminated before multiplying?
Part C: What is the simplified product?
Select all answers that apply for Part A and Part B, and select one answer for Part C.

C: 3x-12
———-
x^2+2^x

B: x+2

C:(x-4)(15x)
————-
(5x^2)(x+2)

A: -2

C: 3x-12
-———
x+2

A: 0

A: 5

C: 3x-6
———
x

A: -4

A: 2

B: x

A: 4

B: 5

B: x^2

Answers

Answer:

Step-by-step explanation:

b, i'm not sure but thats what i think.

A'B'C' is the image of ABC after a translation. Write the rule for the translation. (x,y) → ______

Answers

Answer:

A hint because i am still finding the answer, ● TRANSLATION is a transformation that SLIDES a figure horizontally (left or right), vertically (up or

down), or both on a coordinate plane.

OVER 2 1/2 UP 1/2. THIS SHOULD BE RIGHT BUT A SECOND OPINION IS GOOD TOO.

The graph below shows a quadratic function f(x) and an absolute value function g(x) Which of the following x-values are approximate solutions to the equations f(x) = g(x)? select all that apply

Answers

Answer:

a, b ,e

Step-by-step explanation:

The solutions to the equation f(x) = g(x) are x = -3.3 and x = 5.2

The correct answers are option (A) and option (E)

What is equation?

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

What is solution to equations?

"It is a value or a set of values, when substituted for the unknowns, the equation becomes true."

For given question,

We have been given the graph of a quadratic function f(x) and an absolute value function g(x).

We need to find the x-values that are approximate solutions to the equation f(x) = g(x).

To solve the equation f(x) = g(x), we look for the points where the graphs of f(x) and g(x) intersect.

The intersection point of f(x) = g(x) appears to be at point which lie in the second quadrant and the x-value lie between -2 and -4.

Also,  the second intersection point lie in the fourth quadrant where x value is in between 4 and 6.

So, the solutions to the equation f(x) = g(x) are x = -3.3 and x = 5.2

The correct answers are option (A) and option (E)

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need your help with math

Answers

Answer:

y=3/4x+2

Step-by-step explanation:

what is a slope-intercept form of a equation of a line that passes through (-1,6) and (2,-3)

Answers

Answer:

go to m a t h w a y trust me that app is a game changer

determine whether the given ordered pair is a solution of the equation y=-x-2; (1,-3)

Answers

Answer:

yes, the ordered pair is a solution for this equation

Step-by-step explanation:

y= -x-2

plug in 1 for x and -3 for y

-3= -1-2

-3= -3

ILL MARK BRAINLIEST PLS HELP
Select all of the descriptions
which describe a transformation of the graph of f(x)=x that could result in
the graph of g(x)=4x.
A
The graph is rotated about (0,0), becoming steeper.
B
The graph is vertically stretched.
The graph is translated 4 units up.
D
The graph is translated 4 units to the right.
E
The graph is vertically shrunk.
F
The graph is reflected across the x-axis.

Answers

Answer: A)

Step-by-step explanation:

Which algebraic expression means "four less than three times a number"

Answers

Answer:

3x-4

Step-by-step explanation:

"3 times a number" is 3x where x is the number

"Four less than" means we subtract four from 3x

Therefore, 3x-4 is the correct algebraic expression

Bob bought 5 books for x dollars each and a DVD for $12. Write an expression for how much money Bob spent.

Answers

Answer:

5x+12

Step-by-step explanation:

X symbolizes how many he is buying plus the extra 12 dollars

Answer:

5x+12=y

Step-by-step explanation:

Y represents the amount of money spent.

if x represents the amount of one book and Bob bought 5 books than you have to multiply the amount of one book by five to get the amount spent on all the books. Thus getting 5x

You need an equation to find how much money spent total. Thus adding $12 because Bob also bought a DVD for $12.

Therefore, the only logical equation is 5x+12=y

What can be concluded about triangles RST and VTU?
The triangles are congruent and similar with a
proportional relationship of 1.
The triangles are congruent but not similar.
The triangles are similar but not congruent.
There is not enough information to determine if the
triangles are congruent or similar​

Answers

Answer: It is A

Step-by-step explanation: Just did it on edg2020

Answer:

A

Step-by-step explanation:

Multiply out 3(2x-7)

Answers

Answer:

6x-21

Step-by-step explanation:

3*2x = 6x

3*-7 = -21

6x-21

The answer is 6x-21, multiply the equation with distributive property

Find the sum of the finite geometric series

6 - 4 + 8/3 - 16/9 + 32/17

Answers

Answer:

The sum of geometric series 6 - 4 + 8/3 - 16/9 + 32/17 is 4.0416

Step-by-step explanation:

We need to find the sum of geometric series 6 - 4 + 8/3 - 16/9 + 32/17

The formula used to find sum of geometric series is [tex]S_n=\frac{a(1-r^n)}{1-r}[/tex]

where a is 1st term, n is number of terms and r is common ratio

so, in the given geometric series 6 - 4 + 8/3 - 16/9 + 32/17 we have

First Term a=6

Common ratio r= -0.6

Number of terms n= 5

Putting values in formula to find sum of given geometric series

[tex]S_n=\frac{a(1-r^n)}{1-r}\\S_n=\frac{6(1-(-0.6)^5 )}{1-(-0.6)}\\S_n=\frac{6(1-(-0.07776))}{1+0.6}\\S_n=\frac{6(1+0.07776)}{1.6}\\S_n=\frac{6.46656}{1.6}\\S_n=4.0416[/tex]

So, the sum of geometric series 6 - 4 + 8/3 - 16/9 + 32/17 is 4.0416

Which goddess corrupted Heracles' mind?
pleas

Answers

Answer:

his daughter, Megara

Step-by-step explanation:

$46 shoes; 2.9% tax.

Answers

the correct answer is 47.33 because you have to multiple 46 times 0.029 and then add 1.33 to the 46 so you get 47.33 hope this helps :)

Answer:

47.33

Step-by-step explanation:

youe welcome

please solve this!
slope of dotted line:
slope of reflection line:
equation of reflection line:

Answers

Answer:

I-

Step-by-step explanation:

) 5)8%2=80)4)88=5=5=88=9=5)5=

Answer:

Slope of dotted/dashed line: -3

Slope of Reflection line: 0.25

Equation of Reflection line: y = 0.25x - 2

Step-by-step explanation:

Slope of dotted line: rise/run. So 3/1 = 3. It is a negative slop because of the way it is facing ( \ ).

Slope of reflection line: rise/run. So 1/4 = 0.25. It is a positive slope ( / ).

Equation of reflection line: y = mx + b

m = slope

b = y-intercept

y = 0.25x - 2

There 18 rows of seats in the auditorium there are 24 seats in each row how many seats are in the auditorium

Answers

The answer is they’re 432 seats in the auditorium

Answer:

432 seats

Step-by-step explanation:

Since 24 seats = 1 row, all we have to do is multiply 24 by 18, since there are 18 rows of seats. This would give us 432, which is the total number of seats in the auditorium.

Factorise: (a) 3x2 + 27y2 + z2 - 18xy + 6 √3yz -2 √3zx (b) 27 x3 + 125y3 (c) (2a – 3b + c )2

(d) 1 a3 + b3 + 125 c3 - 15 a b c (e) [x – 1/x y]3 (f) x4 y4 – x y

64^4

(g) 8x3 – (2x – y)3 (h) a6 _ b6

Answer please

Answers

Answer:

(a)  [tex]3x^2 + 27y^2 + z^2 - 18xy + 6 \sqrt{3} yz -2 \sqrt{3} zx[/tex]

    this can be written as

     [tex](-x\sqrt{3})^2 + (y3\sqrt{3})^2 + (z)^2 +2 ( -x\sqrt{3} )( y3\sqrt{3}) + 2( y3\sqrt{3})(z) + 2(z)( -x\sqrt{3})[/tex]

    which is equivalent to

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

     [tex](-x\sqrt{3} + y3\sqrt{3} + z)^2 = (-x\sqrt{3} + y3\sqrt{3} + z)(-x\sqrt{3} + y3\sqrt{3} + z)[/tex]

(b)[tex]27 x^3 + 125y^3[/tex] = [tex](3x)^3 + (5y)^3[/tex]

which is same as [tex]a^3 + b^3 = (a+b)(a^2 +b^2 -ab)[/tex]

                    = [tex](3x + 5y)(9x^2 + 25y^2 -15xy)[/tex]

(c) [tex](2a - 3b + c )^2[/tex] = (2a -3b +c)(2a -3b+c)

(d) [tex]a^3 + b^3 + 125 c^3 - 15 a b c[/tex]

this is same as

[tex]a^3 + b^3 +c^3 - 3abc[/tex] = [tex](a+b+c)( a^2+b^2+c^2 -ab-bc-ac)[/tex]

     = [tex](a + b + 5c)(a^2+b^2 +25c^2 -ab -5bc -5ac)[/tex]

(e) [tex](x - 1/x y)^3[/tex] = [tex](x - 1/xy)(x - 1/xy)(x - 1/xy)[/tex]

(f) [tex]x^4 y^4 - x y64^4 = xy( x^3y^3 - 64^4) = xy( x^3y^3 - (256)^3) \\ = xy( xy - 256 )(x^2y^2 + 65536 + 256xy)[/tex]

(using the property of  [tex]a^3 -b^3 = (a-b)(a^2+b^2 +ab)[/tex] )

(g) [tex]8x^3 - (2x - y)^3 = (2x)^3 - (2x-y)^3 \\ = (2x - 2x + y)(4x^2 + (2x-y)^2 + 2x(2x-y))\\ = y(8x^2 + y^2 -6xy +4x)[/tex] using the same property above

(h)

[tex]a^6 -b^6 = (a^2)^3 - (b^2)^3 = (a^2-b^2)( a^4+b^4 +a^2b^2)\\ = (a-b)(a+b)( a^4+b^4 +a^2b^2)[/tex]

Which of the following expressions are equivalent to x+2-x

Answers

A. 2(x + 3) + 2x and 4x + 3

B. -2 + 4 (x + 3 ) and 4x + 10

C. 3x + 5 ( x - 1) and 8x - 5

D. 5x - 2 (x + 4) and 3x + 8

E. 4 - 5 (x + 2) and 5x - 6

Answer: The anwer is A. x+2-x. It is correct!

Step-by-step explanation:

Khanacademy

Does anyone know how to like graph it for me like just tell me where they go please and thank you!

Answers

Answer:(0,4), (-1,0), (-4,-2)

Step-by-step explanation:

A flea is jumping around on the number line. He starts at 3 and jumps 5 units to the left. Write the integer of where the flea is now on the number line. number line

Answers

Answer:

This is How to solve a integer: Write your number on a piece of paper. You can write your integer in a variety of ways. For instance, write your integer in standard form (such as 63), expanded form (such as 100+50+2, which in standard form would be 152) or in written form (such as one thousand two hundred thirteen).

Step-by-step explanation:

The bakers at healthy bakery can make 330 bagels in 5 hours. How many bagels can they bake in 13 hours? what was that rate per hour

Answers

In 13 hours the bakers can make 858 bagels

The rate per hour is 66 bagels made in one hour

HELP! Which number is a rational number?
A. Square Root of 9/2
B. Square Root of 13/16
C. Square Root of 49
D. Square Root of 34

Answers

Answer:

its c or the square root of 49

Answer:

The answer is C. (square root of 49)

The graphs below show the test scores for students in different subject area and the time the students spent studying for the tests. Math Scores vs. Hours Spent Studying A graph titled math scores versus hours spent studying has hours spend studying on the x-axis and test score on the y-axis. A line goes through points (2.5, 60) and (3.5, 70). Science Scores vs. Hours Spent StudyingA graph titled science scores versus hours spent studying has hours spend studying on the x-axis and test score on the y-axis. A line goes through points (0.5, 40) and (3.5, 50). Spelling Scores vs. Hours Spent Studying A graph titled spelling scores versus hours spent studying has hours spend studying on the x-axis and test score on the y-axis. A line goes through points (0.5, 80) and (4.5, 90). History Scores vs. Hours Spent Studying A graph titled history scores versus hours spent studying has hours spend studying on the x-axis and test score on the y-axis. A line goes through points (0.5, 50) and (2, 70). Which graph has a trend line with the least slope? Math Scores vs. Hours Spent Studying Science Scores vs. Hours Spent Studying Spelling Scores vs. Hours Spent Studying History Scores vs. Hours Spent Studying

Answers

Answer:

The answer is C)Spelling Scores vs. Hours Spent Studying

Step-by-step explanation:

This is the answer because if you look at all of the other options, then you will see that they have a steeper slope, you could also calculate and find for slope if u are still unsure :) hope this helps

The graph that has a trend line with the least slope is the History Scores vs. Hours Spent Studying graph

What is the slope of a line?

The slope of a line is the quotient of the change in the vertical values to the corresponding horizontal values

Check below on how the trend line with the least slope can be determined

From the question, we have:

Line 1: (2.5, 60) and (3.5, 70)Line 2: (0.5, 40) and (3.5, 50)Line 3: (0.5, 80) and (4.5, 90).Line 4: (0.5, 50) and (2, 70).

The slope (m) is calculated using:

m = (y₂ - y₁)/(x₂ - x₁)

So, we have:

m₁ = (70 - 60)/(3.5 - 2.5) = 10m₂ = (50 - 40)/(3.5 - 0.5) = 3.3m₃ = (90 - 80)/(4.5 - 0.5) = 2.5m₄ = (70 - 50)/(2 - 0.5) = 13.3

The line 3 has the least slope

i.e. m₃ = 2.5

Hence, the graph that has a trend line with the least slope is the History Scores vs. Hours Spent Studying graph

Read more about slope at:

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The table shows the results of a survey on students'
favorite kind of movie. Select the appropriate values to
complete the model to find the fraction of students that
prefer comedy or action movies.


What fraction of the students who were surveyed prefers
comedy or action movies?

Answers

Answer:

71/100

Step-by-step explanation:

Action 29 plus comedy 42 equals 71 and if you add action, comedy, drama, and horror you get your denominator of 100

Fraction of the students is 71/100 who were surveyed prefers comedy or action movies.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

We have to given that;

Number of students who prefer action = 29

Number of students who prefer comedy = 42

Here, Total students = 100

Hence, Fraction of the students who were surveyed prefers comedy or action movies is,

⇒ 29/100 + 42/100 = 71/100

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what is the consent term in the expression 6x^3y+8x^2+5x+7 PLZ HELP ME. NO THERE IS NO ANSWER CHOICES. giving brainliest to right answer​

Answers

Answer:

+ 7

Step-by-step explanation:

The constant term in the polynomial is the only term with no variable attached to it.

In this case that is + 7 ← constant term

please help me, solve for n

Answers

Answer:

The value of n will be:

[tex]n=\frac{89}{4}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{n}{2}-8^{-1}=11[/tex]

Apply the exponent rule:

[tex]a^{-1}=\frac{1}{n}[/tex]

so the expression  becomes

[tex]\frac{n}{2}-\frac{1}{8}=11[/tex]

Add 1/8 to both the sides

[tex]\frac{n}{2}-\frac{1}{8}+\frac{1}{8}=11+\frac{1}{8}[/tex]

[tex]\frac{n}{2}=\frac{89}{8}[/tex]

[tex]n=\frac{89}{4}[/tex]

Therefore, the value of n will be:

[tex]n=\frac{89}{4}[/tex]


Find the exact value of sec 3pi/2
If not defined, write undefined.

Answers

Answer: Undefined

Step-by-step explanation:

Sec 3[tex]\pi[/tex]/2 = 1/Cos(3[tex]\pi[/tex]/2) = 1/0 = Undefined

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