Mathematics High School

NEED HELP ASAP, WILL GIVE BRAINLIEST

Which rectangular equation represents the parametric equations x = 2sec(t) + 1 and y = 6tan(t)?

Answers

Answer 1

Answer:

A.)

Step-by-step explanation:

literally guessed but was right lol

Answer 2

Option first is correct.

What is rectangular equation?

A rectangular equation, or an equation in rectangular form is an equation composed of variables like x and y which can be graphed on regular cartesian plane.

According to the given question

We have

x = 2sec(t) + 1 and y = 6tan(t)

Now the above expressions can be written as :

x -1 = 2sec(t)

⇒ [tex]sec(t)\frac{x-1}{2}[/tex]

similarly,

[tex]\frac{y}{6} = tan(t)[/tex]

From trigonometric identities we know that

[tex]1 + tan^{2} \ t = sec^{2} \ t[/tex]

Substitute the value of tant and sect in the above identity

[tex]1 + (\frac{y}{6} )^{2} =(\frac{x-1}{2}) ^{2}[/tex]

⇒[tex]\frac{(x-1)^{2} }{4} -\frac{y^{2} }{36} =1[/tex], this is the required rectangular equation.

Hence, option first is correct.

Learn more about rectangular equation here:

https://brainly.com/question/12718642

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Related Questions

PLEASE HELP ASAP
A realtor found a home for a couple that will require a monthly loan payment of $1460. If the lender insists that the buyer's monthly payment not exceed 28% of the buyer's monthly income
find the minimum monthly income required by the londer. Simplify your answer.

Answers

Answer:

$5214.29 or $5214

Step-by-step explanation:

Set up a ratio table:

[tex]\frac{1460}{x}[/tex]=[tex]\frac{28}{100}[/tex]

You need you multiply the monthly loan by 100, then divide by 28.

(1460 · 100) ÷ 28

146000 ÷ 28

5214.28571

Round to the nearest cent:

$5214.29

Unless by simplify it means to the nearest dollar:

$5214

An art teacher mixes 20 ounces of yellow paint with 8 ounces of red paint. How many ounces of yellow paint would she need to mix with 18 ounces of red paint to maintain the same proportion

Answers

30. Answer if u place the equation into a fraction: example 20/8 yellow over red. Next let’s put the other amount into a fraction, we don’t know yellow so for the fraction we will put x: x/18. For our next step we will then cross multiply 20 by 18 and 8 by x getting 8x=360 from there you divide for x getting 45 yellow.

The total amount of yellow paint she needs to mix with 18 ounces of red paint to maintain the same proportion is 45 ounces and this can be determined by using the unitary method.

Given :

An art teacher mixes 20 ounces of yellow paint with 8 ounces of red paint.

The following steps can be used in order to determine the total amount of yellow paint:

Step 1 - The unitary method can be used in order to determine the total amount of yellow paint she needs to mix with 18 ounces of red paint to maintain the same proportion.

Step 2 - Let the total amount of yellow paint she needs be 'x'.

Step 3 - So, the value of 'x' can be calculated as:

[tex]x = \dfrac{18}{8}\times 20[/tex]

Step 4 - Simplify the above expression.

[tex]x = 45\;{\rm ounces}[/tex]

The total amount of yellow paint she needs to mix with 18 ounces of red paint to maintain the same proportion is 45 ounces.

For more information, refer to the link given below:

https://brainly.com/question/25834626

B
1
N
4
5
5
(4x+6)
(5x -5)
7
00
0
A
С
(3x + 8)
The value of x is
and the length of the base is

Answers

Answer:

(4x+6)

(5x -5)

(3x + 8)

The value of x is