Mathematics High School

Find the Cartesian equation of the curve with parametric equations x = 2 sec(t) and y = 3 tan(t) for t ∈ π/2 , 3π/2, and describe the curve.

Answers

Answer 1

Answer:

4y^2 - 9x^2 = -36

Step-by-step explanation:

x = 2 sec t

y = 3 tan t

x^2 = 4 sec^2 t

y^2 = 9 tan^2 t

Now sec^2t = 1 + tan^2 t so we have:

4(1 + tan^2 t) + 9 tan^2 t = x^2 + y^2

4 + 13 tan^2 t = x^2 + y^2

13 tan^2 t = x^2 + y^2/ - 4

tan^2 t = x^2/13 + y^2/13 - 4/13

But , from the second equation tan t =  y/3 so tan^2 t = y^2/9, so:

y^2/9 =  x^2/13 + y^2/13 - 4/13

LCM of 9 and 13 is 117 so multiply thru by 117:

13y^2 = 9y^2 + 9x^2- 36

4y^2 - 9x^2 = -36

Related Questions

First three terms of n^2+40
How many terms in the sequence are less than 100?​

Answers

Answer:

7.

Step-by-step explanation:

If N= 1, 2, 3, 4, 5, 6, or 7, the equation is still less than 100.

Solve: please, THANKS

Answers

Answer:

20/21

Step-by-step explanation:

have a nice day or evening

Ralph buys a computer for $675. The sales tax rate is 6%. How much did Ralph pay for
the computer?
Answers choices are
A.$40.50
B.$715.50
C. $6.00
D.634.50

Answers

Answer:

uhhhh D?

Step-by-step explanation:

What is the decimal equivalent of 13/4?

Answers

Answer:

3.25

hope this helped!!

Answer:

3.25

Step-by-step explanation:

13 / 4 is an improper fraction . when you divide 13 by 4 you get 3.25

i need the area, it is the area if composite fugures! ASAP!!

Answers

3+12+8=23
I broke it up to 2 squares and a triangle

Cameron has $200. He wants to buy a diploma frame for $44. He also wants to buy kente graduation stoles for himself and his friends. Each stole costs $24. How many kente stoles can Cameron buy?

Answers

Answer:

6

Step-by-step explanation:

200-44=156

156/2=6.5

Round 6.5 to 6.

Use the formula A = 6s2 to find the surface area of a cube
with sides of length s = 1.5 meters.

Answers

Answer:

[tex]\Large \boxed{\sf 13.5 \ m^2}[/tex]

Step-by-step explanation:

Use formula and substitute s = 1.5

[tex]A=6 \times 1.5^2[/tex]

[tex]A=13.5[/tex]

Find the degree measure of the angle expressed by 11x-6.

Answers

Answer:

Won't it just be 60, because it's an equilateral triangle.

Step-by-step explanation:

60 + 60 = 120

180 - 120 = 60

11x - 6 = 60

11x = 66

x = 66/11

x = 6

Let's substitute.

11(6) - 6 = 66 - 6 = 60

can i plz have some help

Answers

Answer:

18.84

Step-by-step explanation:

The formula for circumference is 2*pi*r

So,

2*3.14*3

which equals,

18.84

What is the best measure of center for this data?



{101, 2, 108, 104, 102, 107, 109, 102}
Question 5 options:

A. mean or median because there is no outlier


B. median because there is an outlier


C. mean because there is an outlier


D. mode because there is an outlier

Answers

Answer:

The answer is A

Becaise Mode is not a measure of centre, and Mean is dramatically changed with the outli

I think that would be correct, Hope it helps!!!

Dragonflies today have a wingspan of 6 inches. The ancestors of the dragonfly had a wingpan 5 times greater. How long was the wingspan of the dragonfly's ancestors?

Answers

I believe The answer is 30 inches because 6x5 is 30

What are the domain and range of the function defined by the set of ordered pairs below? {(3, -4), (-1, 4), (-2, 6), (1, 0)}

Answers

Answer:

C

Domain: {-2, -1, 1, 3}

Range: {-4, 0, 4, 6}

Step-by-step explanation:

The domain is the set containing all x-coordinates.

Domain: {-2, -1, 1, 3}

The range is the set containing all y-coordinates.

Range: {-4, 0, 4, 6}

Answer:

C

Domain: {-2, -1, 1, 3}

Range: {-4, 0, 4, 6}

The answer is C
---------------------------

Complete a function table from an equation
Complete the table.

Answers

The answers are 8,2,-4,-10

The area of a rhombus is 60 cm one diagonal is 10cm other dignonl is

Answers

Answer: 12 cm

Explanation: The other diagonal is 12 cm as I calculated.

What is the coefficient of the second term in this expression? 4k+ 3n+ 9​

Answers

the answer is 3 hahahahahah

what’s the domain and range of this graph?

Answers

Answer:domain: (−∞,∞)

range: [−9,∞)

Step-by-step explanation:

A cone has a height of 5 cm, and the radius is 2 cm. Calculate the volume.

Answers

Answer:

20.9 cm^3

Step-by-step explanation:

the answer is 20.9cm^3.

15 ejercicios de peróxidos tomando en cuenta su formulación y nomenclatura

Answers

Answer:

1) Av2O2 N.Stook: peróxido de oro (I) N.Sistemática: dióxido de dioro N.Tradicional: perioxido auroso

Find the length of the third side if necessary round to the nearest tenth 20 12

Answers

Answer:

58

Step-by-step explanation:

20+12= 32

it is a 90 degree angle so

90-32=58

58 is closest to 60

Answer:

16

Step-by-step explanation:

PLEASE HELP! SEE PICTURE!

Answers

Answer:

uhhhhhhhhh

Step-by-step explanation:

Each exterior angle in a regular polygon has a measure
of 18. How many sides does the polygon have?
O 18
0 20
0 36
O 10
1
2

Answers

Answer:

20

Step-by-step explanation:

20

Step-by-step explanation:

The total exterior angles of the polygon equals to 360°.

360÷18(the size of the angles each side has)

thus answer =20

Find the surface area of the prism.
3 cm
9 cm
6 cm
The surface area is
square centimeters.
7
need asap

Answers

Answer:

198

Step-by-step explanation:

rectangular side (9,3)

9x3=27

27x2= 54 (because there's rectangular sides)

Square end(6,3)

6x3=18

18x2=36(two square sides)

top&bottom sides

6x9=54

54xsquared2=108(two sides)

add all together

54+36+108=198cm(squared)

198


This is the answer

Anyone know the answers to any of these questions? Please if u do help me out I’m stuck lol it’s due tomorrow and I don’t wanna get detention for it someoneeee??... anyoneeee...

Answers

Question 3 is 12:2 because if you divided 108 by 9 you get 12 and 18 by 9 you get 2

PLEASE HELP

The graph of y = f(x) is shown below. What are all of the real solutions of
f(x) = o?

Answers

Answer:

The real solutions are : -6, -3 and 2

Step-by-step explanation:

The solutions of a functions are the input values at an output zero

Graphical wise, this can be represented by the order pairs (x, 0)

In other words, these are the points that lie on the x-axis

Examining the given graph, we can see that the points lying on the x-axis are:

(-6, 0), (-3, 0) and (2, 0)

This means that:

The real solutions of the function are:

-6, -3 and 2

Hope this helps :)

State of the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.

Answers

Answer:

SSS, UVD, the answer is D

Step-by-step explanation:

90/9 = 10

70/7 = 10

80/8 = 10

triangle LMN congruent triangle UVD

Pls solve this i need help quick​

Answers

Answer:

13 is the answer

Step-by-step explanation:

m = 13

(8+5)

HELP DUE IN 10 MINS!

The lighthouse is ?? feet above the water.

Answers

Answer:

Use tangent:

BL/BS = tan Sx / 144 = tan 25°x = 144 tan 25°x = 67 ft (rounded)

Anna put $500 into a savings account and made no more deposits or withdrawals. The account earns 2% simple interest per year. How much money will be in the account after 5 years?

Answers

Answer:

50

Step-by-step explanation:

What I did was 2 divided by 100 = 0.02 Then multiply 0.02 times 500 and you should get 10 then multiply by how many years of interest and you get 50  

hope this helped!

A string reaches from the top of a 17-foot pole to a point 13 feet from the base of the pole. To the nearest tenth of a foot, how long is the string?

Answers

Answer:

21.4 feets

Step-by-step explanation:

Using Pythagoras rule :

The length of the string:

Hypotenus = sqrt(opposite² + adjacent²)

Length of string = sqrt(17² + 13²)

Length = sqrt(289 + 169)

Length of string = sqrt(458)

Length of string = 21.400

Length = 21.4 feets

Mathhhhhhhhhhhhhhhhhh

Answers

I can’t help u on this site

Answer: Question 1 is 3/4

Question 2 is the line intersecting at -9 in the y axis and the slope is 4 so the other point would go at (1,-5)

Step-by-step explanation:

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