PLEASE HELP ASAP!!!!
What is the rectangular equivalence to the parametric equations?

x(θ)=3cosθ+2,y(θ)=2sinθ−1 , where 0≤θ<2π .

Drag a term into each box to correctly complete the rectangular equation.
____ + ________ = 1, where the x is on the interval _______

options:
(x-2)^2/9
(x+2)^2/9
(x-1)^2/4
(x+1)^2/4
(y-2)^2/9
(y+2)^2/9
(y-1)^2/4
(y+1)^2/4
[-3,3]
[-3,1]
[-2,2]
[-1,5]

Answers

Answer 1

The correct answer is option A [tex](\dfrac{x-2}{3})^2+(\dfrac{y+1}{2})^2=1[/tex] it will be an ellipse.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Let's consider the following trigonometric identity:

Sin²[tex]\theta[/tex] + Cos²[tex]\theta[/tex] = 1

Each trigonometric function is cleared respectively in given parametric equations:

[tex]Cos \theta = \dfrac{x-2}{3}[/tex] and  [tex]Sin\theta =\dfrac{y+1}{2}[/tex]

The equivalent expression in rectangular form is:

[tex](\dfrac{x-2}{3})^2+(\dfrac{y+1}{2}^)^2 = 1[/tex]

Therefore the correct answer is option A [tex](\dfrac{x-2}{3})^2+(\dfrac{y+1}{2})^2=1[/tex] it will be an ellipse.

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Related Questions

The point (-6, 4) is reflected over the x-axis. Find the point of reflection.

Answers

Answer:

-6, -4

Step-by-step explanation:

does someone mind helping me with this problem? Thank you!

Answers

Answer:

-20

2(xy-7)=-20 with x=-1 y=3

Step-by-step explanation:

2(xy-7)=?

When variables are connected such as xy, this means to multiply.

x=-1

y=3

Multiply the x and the y together.

-1*3=-3. Plug that into the equation.

2(-3-7)=?

Subtract the inside the parenthesis.

2(-10)=?

Multiply. Remember when multiplying a positive and a negative the answer will always be a negative.

2(-10)=-20

This means that 2(xy-7)=-20 with the x=-1 and y=3.

Hope this helps!

If not, I am sorry.

2.) The quotient of 3 and y

Answers

Answer:

3 ÷ y

Step-by-step explanation:

Quotient refers to the division of two values, in this case 3 and y.

Answer:

3/y

Step-by-step explanation:

The area of a square is given by and the perimeter is given by , where s is the side length of the square.
If the side length of a square is 4 inches, its area is
square inches and its perimeter is
inches.

Answers

The area of the square is 16 square inches and its perimeter is 16 inches.

What is Area of square ?

A square is a two-dimensional geometric shape with four equal sides and four right angles. The area of a square is the measure of the region enclosed by the square. The area is expressed in square units, such as square inches, square meters, or square feet.

The area of a square is given by the formula:

A = s²

where A is the area and s is the length of a side.

If the side length of the square is 4 inches, the area can be calculated as:

A = 4² = 16 square inches.

The perimeter of a square is given by the formula:

P = 4s

where P is the perimeter and s is the length of a side.

If the side length of the square is 4 inches, the perimeter can be calculated as:

P = 4 x 4 = 16 inches.

Therefore, the area of the square is 16 square inches and its perimeter is 16 inches.

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At which value(s) of x does the graph of the function F(x) have a vertical
asymptote? Check all that apply.
F(x) =X/(x-4)(x+2)

Answers

Answer:

x = 4  &  x = -2

Step-by-step explanation:

For rational functions (functions which themselves are a fraction, with polynomial pieces in the numerator and polynomial pieces in the denominator), these functions have "discontinuities" anywhere the denominator is equal to zero.  Usually, those discontinuities are "vertical asymptotes".  Occasionally, those discontinuities are "holes".

A discontinuity is a "hole," only if both the numerator AND the denominator are zero for that same value of x.  If that value of x doesn't make the numerator zero (it only makes the denominator zero), the discontinuity is just a vertical asymptote.

Finding the discontinuities:

To find the discontinuities, we'll be making an entirely separate equation.  It's not the function, it's not using algebra to change both sides of the equation/function we started with ... it's pretty much just like scratch work to figure out something that you can use later (although, your teacher may want to see your work on how you found them).

The equation we need for this is the denominator of our rational function set equal to zero:

[tex](x-4)(x+2)=0[/tex]

Note, this equation doesn't have a denominator.  It's not the original function.  It's like scratch work.  This equation is designed as if we want the denominator of our function to be zero, and to find the values of x that will make us divide by zero in the original function.

There are many ways to solve this equation.  The easiest is remembering the zero product property.  The Zero Product property states that if the product of two things is equal to zero, then at least one of the original things had to be zero:  [tex]\text{If }a*b=0,\text{ then }a=0\text{ or }b=0 \text{ (or both)}[/tex]

Noting that our equation is a product of two things, and is equal to zero, the zero product property allows us to separate our equation into two equations:

[tex]x-4=0, \text{ or } x+2=0[/tex]

Solving each equation by isolating x, by adding or subtracting the relevant number from both sides of the equations:

[tex]x=4, \text{ or } x=-2[/tex]

So these values of x will make the denominator of the original function zero.  These are both discontinuities of the function, so while when we were solving for values of x that would make the denominator zero, it was appropriate to say "or", we know that both of these values are discontinuities and now we list them both saying "and":

Discontinuities: [tex]x=4 \text{ and } x=-2[/tex]

But wait!  Are they holes, or are they just vertical asymptotes?  Do we have one of each?

Testing to see if the discontinuities are asymptotes:

To test and see if the discontinuities we've found are holes, we need to substitute them into the numerator of the original function, and see the result.... but just the numerator (we already know they will make the denominator zero, and we can't divide by zero)

Since the numerator is just x, we're checking to see if 4=0, or if -2=0.  They don't.  So, for this function, both of the discontinuities are vertical asymptotes.

Listing the asymptotes

Vertical asymptotes at [tex]x=4 \text{ and } x=-2[/tex]

angle A and angle B are a linear pair. If measure of angle A = 4x-10 and measure of angle B = 3x+43, find the measure of angle A and measure of angle B

Answers

Answer:

See below ~

Step-by-step explanation:

Linear pairs add up to 180 degrees.

⇒ 4x - 10 + 3x + 43 = 180

⇒ 7x + 33 = 180

⇒ 7x = 147

⇒ x = 21

∠A = 4(21) - 10

∠A = 84 - 10

∠A = 74°

∠B = 3(21) + 43

∠B = 63 + 43

∠B = 106°

What is the square root of 48 simplified?

Answers

The square root of 48 simplified is 4 sqrt 3.
4 and then a square root 3

The way you get this is to factor 48 into 16 x 3 . You can take the sq root of 16 = 4 and bring the 4 to the outside of the sq root sign. The 3 remains under the sq root sign.

Have a nice day’

55 mi / h = ____ ft / s

Answers

Answer:

80.6ft/s

Step-by-step explanation:

[tex]\frac{55mi}{h} * \frac{5280ft}{1 mi}* \frac{1h}{3600s} = 80.6ft/s[/tex]

Use the periodic compound interest formula to solve.
Suppose that $11,000 is invested at 5.8% compounded quarterly. Find the total amount of this investment after 6 years.

Answers

Answer:

$15,539.67

Step-by-step explanation:

Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]

where:

A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsed

Given:

P = $11,000r = 5.8% = 0.058n = 4 (quarterly)t = 6 years

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=11000\left(1+\frac{0.058}{4}\right)^{(4 \times 6)}[/tex]

[tex]\implies \sf A=11000(1.0145)^{24}[/tex]

[tex]\implies \sf A=15539.67451...[/tex]

Therefore, the value of the investment after 6 years will be $15,539.67 to the nearest cent.

The drama teacher wants to know whether more families of students at the school would attend a musical or a comedy.
Which of the following survey methods will allow the drama teacher to make a valid conclusion about which genre of performance more families would attend?
Choose 1 answer:
Choose 1 answer:

Answers

To determine whether more families of students at the school would attend a musical or a comedy , she should Assign a number to each family, use a computer program to select 20 random numbers , Option A is the right answer.

What are different survey methods ?

Some of the survey methods are Online Survey , Telephonic survey , Kiosk Survey , Face to Face Survey etc.

It is given that there are n number of families ,

To determine whether more families of students at the school would attend a musical or a comedy.

To do so she has to do random sampling from the group of families.

So , she should Assign a number to each family, use a computer program to select 20 random numbers.

Therefore Option A is the right answer.

The complete question is

The drama teacher wants to know whether more families of students at the school would attend a musical

or a comedy.

Which of the following survey methods will allow the drama teacher to make a valid conclusion about

which genre of performance more families would attend?

Choose 1 answer:

Assign a number to each family, use a computer program to select 20 random numbers

between 1 and the total number of families, and ask the families selected.

For each letter of the alphabet, assign a number to each family whose last name begins with

that letter, use a computer program to select a random number between 1 and the total

number of families whose last name begins with that letter, and ask the family selected.

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Which expressions are equivalent to the one below? Check all that apply.
In (e^2)
Possible Answers Below:
A.)2•In e
B.) 2
C.) 2e
D.) 1

Answers

Answer:

a and b

Step-by-step explanation: you can move the exponent to the front and lne is also equal to one times 2 = 2

whats 10 + 4? i need to know if you answer you get 25 points

Answers

the answer is 14, 0+4 is 4 and then you put the 1 infront of the 4 making 14
The answer would be 14.

Mark's Digital Place has a compact digital camera at a price of $425, a 8 inch tablet for $540 and a
game console for $610. If you want to get an additional three years warranty, then you need to pay
15% extra on the original price and $50.
Daphne wants to buy a digital camera and a tablet to start a photography course. When she went into
the store, she found that the store id offering a discount of 5% on the camera and 80 on the tablet.
Daphne also want the additional three years warranty. How müch money does Daphne need to pay to
buy both the items with a three years additional warranty on each item?

Answers

Answer:

jjxfzhfxjgjhzjjjtxjxjxktxjtxjtxtxh

Which Expression is Equivalent to (f+g)(4)?

A) F(4) + G(4)
B) F(X) + G(4)
C) F(4 + G(4))
D) 4(F(X) + G(X))

Answers

Step-by-step explanation:

[tex] = (f + g)(4)[/tex]

[tex] = f(4) + g(4)[/tex]

The answer is A.

can anybody help me find what 11x-21=

Answers

Piggly wiggly farting piggly wiggly pooping

Are survival rates independent of gender within similar passenger classes ?

Answers

Answer:

yes

Step-by-step explanation:

Women had a much higher chance of survival — regardless of what class they were in — then men did. Of the 466 women on board, 339 survived. Of the 843 men on board, only 161 survived — a measly 19% compared to the 73% of women who made it safely back to shore.

in january of 2013, mr edwards turned 64 years old. in what year was mr edwards born.

Answers

Answer:

xhdvuvzxvzvkkzv jzh jhj,

Step-by-step explanation:

we can subtract his age from the year 2013.
we get 2013-64 which equals 1949.
Therefore, Edward was born in 1949

Select the correct answer.

A petri dish contains cells of a certain strain of bacteria. Each bacterial cell in the dish divides in half approximately every 6 minutes. The curve of best fit that models the number of bacterial cells in the dish is given by the equation f(x) = 4.2 • 1.1x, where x represents the number of minutes and y represents the number of cells. Which value most likely represents the initial number of bacterial cells in the petri dish?

A.
10 cells
B.
5 cells
C.
2 cells
D.
1 cell

Answers

Answer:

the answer to that is B. 5 cells

PLEASE I NEED THE ANSWER QUICKLY
1. A local newspaper charges $42 per half-page advertisement and $86 per full-page advertisement. Kathryn has a budget of $1192 to purchase 20 advertisements.
(a) Define a variable for each unknown.
Write a system of equations to represent the situation.
(b) How many full-page advertisements does Kathryn purchase?
Show your work.
(c) How many half-page advertisements does Kathryn purchase?
Show your work.

Answers

Answer:

x = 12 half page advertisements

y = 8 full page advertisements

Step-by-step explanation:

42x + 86y = 1192

x + y = 20

y = 20 - x

Input (20-x) as y into the first equation

42x + 86(20-x)=1192

42x + 1720 - 86x = 1192

(42x - 86x) 1720 -1720= 1192-1720

-44x = -528

x = 12

12 + y = 20

y=8

a. 'x' represents half page advertisement and 'y' represents full page advertisement.

System of equation is given by 42x + 86y = 1192 , x + y =20.

b. Number of full page advertisement  Kathryn purchase is equals to 8.

c.  Number of half page advertisement  Kathryn purchase is equals to 12.

What is system of equation?

" System of equation is defined as the finite set of equations for which we find a common solution."

According to the question,

Cost of half page advertisement = $42

Cost of full page advertisement = $86

Number of advertisement Kathryn could purchase = 20

Total budget of Kathryn to purchase advertisement = $1192

'x' represents half page advertisement

'y' represents full page advertisement

As per the situation given system of equation we have,

42x + 86y = 1192                                 ______(1)

x + y = 20                        

x = 20 - y                                             _____(2)

Substitute the value of 'x' from  system of equation (2) in (1) we get,

[tex]42( 20 -y) +86y =1192\\\\\implies 840 - 42y +86y =1192\\\\\implies 44y = 1192-840\\\\\implies y = \frac{352}{44}\\ \\\implies y =8[/tex]

Substitute the value of y in (2) to get 'x' ,

[tex]x=20-8[/tex]

  = 12

Hence,

a. 'x' represents half page advertisement and 'y' represents full page advertisement.

System of equation is given by 42x + 86y = 1192 , x + y =20.

b. Number of full page advertisement  Kathryn purchase is equals to 8.

c.  Number of half page advertisement  Kathryn purchase is equals to 12.

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Find the value of y in the equation attached to this question

Answers

Answer:

y = 4

Step-by-step explanation:

1) Simplify [tex]3^5[/tex] to 243.

[tex]{9}^{y}=\frac{243\times {9}^{6}}{{27}^{3}}[/tex]

2) Simplify [tex]{9}^{6}[/tex] to 531441.

[tex]{9}^{y}=\frac{243\times 531441}{{27}^{3}}[/tex]

3)  Simplify  [tex]243\times 531441[/tex] to  129140163.

[tex]{9}^{y}=\frac{129140163}{{27}^{3}}[/tex]

4) Simplify  [tex]{27}^{3}[/tex]  to  19683.

[tex]{9}^{y}=\frac{129140163}{19683}[/tex]

5) Simplify  [tex]\frac{129140163}{19683}[/tex] to 6561.

[tex]{9}^{y}=6561[/tex]

6) Convert both sides to the same base.

[tex]9^y=9^4[/tex]

7)  Cancel the base of 9 on both sides.

[tex]y=4[/tex]

Cheers,

ROR

Answer:

y = 4

Step-by-step explanation:

Decompose  in base 3

[tex]9^{y} =\frac{3^{5} (3^{2})^{6} }{(3^{3})^{3} } =\frac{3^{5}3^{12} }{3^{9} } =\frac{3^{17} }{3^{9} } =3^{17-9} =3^{8}[/tex]

if

[tex]3^{8} =(3^{2} )^{4} =9^{4}[/tex]

then

[tex]9^{y} =9^{4}[/tex]

[tex]y=4[/tex]

Hope this helps

The equation -x = y + 7 written in slope-intercept form is

Answers

Answer:

y= -x-7

Step-by-step explanation:

Slope intercept form: y = mx + b

m = slope

b = y intercept

The first thing you must do is isolate y so that it is by itself on the left side of the equation:

-x = y + 7

Subtract 7 to both sides:

-x - 7 = y + 7 - 7

-x - 7 = y

Flip:

y = -x - 7

-x = y + 7 in slope intercept form is y = -x - 7

This means the slope is -1 and the y-intercept of the equation is (0, -7)

The absolute value of -183 is _______.

Answers

Answer:

183

Step-by-step explanation:

The absolute value of a number is the number's distance from zero, which will always be a positive value. To find the absolute value of a number, drop the negative sign if there is one to make the number positive.

Answer: 183 ✅

Step-by-step explanation:

Hii, do you need to know the absolute value of "-183"? No problem! (:

What is Absolute Value? | Definition

The absolute value of a number is that number's distance from zero.

That's why absolute value is always positive, because negative distances don't exist.

That's why the absolute value of a number is always positive.

|x|=x

| | denotes absolute value

|-x|=-x

[tex]\large\boldsymbol{\therefore,\;the\;absolute\;value\;of\;-183\;is\;183}}[/tex]

Voila! There's our answer, cheers! (:

____________________

Hope that this helped! Best wishes.      

[tex]\it Reach \ far. \ Aim \ high. \ Dream \ big.[/tex]           ____________________

[tex]\bigstar\underbrace[/tex]

The vertices of an isosceles triangle are A(-4, 0), B(-10, -2) and C(-6, -6).

What is the equation of the triangle's line of symmetry?

y = - x - 4
y = x - 4
y = x + 4
y = - x + 4

Answers

y = - x + 4 that’s the answer hope it helps

PLS HELP IM BEGGING ITS DUE IN 10 MINUTES WHOEVER ANSWERS FIRST AND CORRECTLY I WILL GIVE BRAINIEST!!!

Write a similarity statement comparing the two triangles:

Answers

The triangle ABE and triangle DEC are similar by AAA option third is correct.

What is the similarity law for triangles?

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

We have given two triangles in the picture.

As we can see in the triangle ABE

Angle ABE = 90 degree or right angle

Similarly, in a triangle DEC

Angle DEC = 90 degree or right angle

Angle ABE = Angle DEC

Angle EAB = Angle CDE

If the corresponding two angles are the same as two triangles then the third the angle will be the same.

Angle AEB = Angle DCE

The triangle ABE and triangle DEC are similar to AAA

Thus, the triangle ABE and triangle DEC are similar by AAA option third is correct.

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Chloe bought an equal number of forks and spoons for a party. The forks were sold at 3 for 2$ and the spoons were sold at 4 for 3$. She spent 5$ more on spoons than on forks. How much did she spend altogether?

Answers

60 forks 60÷3=$20

60 spoons 60÷4=$15

$20+$15=$35 total spent for forks and spoons

Total spent is 35 dollars

Could someone help me on this?

Answers

The snswer is B lol get smarter
Jshshshshshshjajsjsjsjsjsjsjsjsjsjshsjdj

What is 108+259+301+405

Answers

Answer:

1073

Step-by-step explanation:

it's simple addition

108 plus 259 plus 301 plus 405 is 1073

factoring 8x^2-12x-8

Answers

Answer:

( 8x - 4 ) ( x - 2 )

Step-by-step explanation:

8x² - 12x - 8

8x² - 16x + 4x - 8

8x ( x - 2 ) - 4 ( x - 2 )

( 8x - 4 ) ( x - 2 )

Answer:

⇒ [tex]4(x-2)(2x+1)[/tex]

Step-by-step explanation:

1) Common factor

⇒ [tex]8x^2-12x-8\\[/tex]

⇒ [tex]4(2x^2-3x-2)[/tex]

2) Use the sum-product pattern

⇒ [tex]4(2x^2-3x-2)[/tex]

⇒ [tex]4(2x^2+x-4x-2)[/tex]

3) Common factor from the two pairs

⇒ [tex]4(2x^2+x-4x-2)[/tex]

⇒ [tex]4(x(2x+1)-2(2x+1))[/tex]

4) Rewrite in factored form

⇒ [tex]4(x(2x+1)-2(2x+1))[/tex]

⇒ [tex]4(x-2)(2x+1)[/tex]

what is b when the slope is 7/6 and the points are (10, -9)

Answers

Answer:

y = 7/6x - 62/3

Step-by-step explanation:

The equation for slope:

y = mx + b

m is the slope and b is the y-intercept

y = 7/6x + b

-9 = 7/6(10) + b

-9 = 35/3 + b

-62/3 = b

Here is a list of ages (years) of children in a room:

8
,


8
,


9
,


5
,


10
,


4
,


9


State the median.

Answers

Answer:

5

Step-by-step explanation:

median basically means the number which is in the middle so 8,8,9, 5 ,10,4,9

the median is 5 because left and right middle is 5 that's why it is median

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