Simplify the expression fully <br> (3x2 + 7y) (2x2

Three trigonometric functions for a given angle are shown below. cosecant theta = thirteen-twelfths; secant theta = Negative thi

Kay [80]

Answer:

(–5, 12) is the correct answer.

Step-by-step explanation:

We are given the following values:

$cosec\theta = \dfrac{13}{12}\\sec\theta=-\dfrac{13}{5}\\cot\theta =-\dfrac{5}{12}$

Now, we know the following identities:

$sin \theta = \dfrac{1}{cosec\theta}\\cos \theta = \dfrac{1}{sec\theta}\\tan \theta = \dfrac{1}{cot\theta}$

Now, the values are:

$sin\theta = \dfrac{12}{13}\\cos\theta=-\dfrac{5}{13}\\tan\theta =-\dfrac{12}{5}$

Sine value is positive and cos, tan values are negative.

It can be clearly observed that $\theta$ is in 2nd quadrant.

2nd quadrant means, the value of $x$ will be negative and $y$ will be positive.

Let us have a look at the value of $tan\theta$ :

$tan\theta = \dfrac{Perpendicular}{Base}\\OR\\tan\theta = \dfrac{y-coordinate}{x-coordinate} = -\dfrac{12}{5}\\\therefore y = 12,\\x = -5$

Please refer to the attached image for clear understanding and detailed explanation.

Hence, the correct answer is coordinate (x,y) is (–5, 12)

8 0

3 years ago

A direct variation function contains the points (2, 14) and (4, 28). Which equation represents the function?

lara [203]

Answer:

$y=7x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

we have the points (2,14) and (4,28)

Find out the constant of proportionality k

$k=y/x$

For (2,14) ----> $k=14/2=7$

For (4,28) ----> $k=28/4=7$

so

the value of $k=7$

therefore

The equation is

$y=7x$

3 0

3 years ago

Read 2 more answers

What is the solution to this equation?

gtnhenbr [62]

Answer:

D

Step-by-step explanation:

if u said 5x=30 then its D

7 0

3 years ago

Read 2 more answers

Is the relationship between gross box office sales and home video units significant? how can you tell? do you think the linear m

aalyn [17]

The linear model is the best fit for the relationship.

According to the statement

we have given that the relationship between gross box office sales and home video units significant and the linear model is the best fit for the relationship.

And we explain all the given statements.

So, For this purpose, we know that the

Since the p-value of the independent variable, 0.0000, is less than 0.05, we can be 95% confident that there is a significant linear relationship between gross box office and home video units.

And the

linear model is used in different ways according to the context. The most common occurrence is in connection with regression models.

So, the linear model is appropriate for the comparisons.

So, The linear model is the best fit for the relationship.

Learn more about linear model here

brainly.com/question/4025726

#SPJ4

8 0

2 years ago

what are some tv shows a 12 year old watch on Netflix (im a mature 12 yr old and can watch almost anything)

Dmitriy789 [7]

Answer:

Umbrella Academy. Netflix. ...

The Baby-Sitters Club. Netflix. ...

Malibu Rescue. Netflix. ...

Alexa and Katie. Netflix. ...

Fuller House. Netflix. ...

Ashley Garcia, Genius in Love. Netflix. ...

The Letter for the King. Netflix. ...

Moesha. Netflix.

Booksmart (2019) Film. ...

The Half of It (2020) Director Alice Wu. ...

Mean Girls (2004) Film. ...

To All the Boys I've Loved Before (2018) Director Susan Johnson. ...

Handsome Devil (2017) Film. ...

Clueless (1995) Film. ...

The Edge Of Seventeen (2016) Film. ...

The Mitchells Vs The Machines (2021)

6 0

2 years ago

Simplify the expression fully (3x2 + 7y) (2x2 – 3x + 9)