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3 years ago

Find the equation for the line passing through the point (3,−4) ( 3 , − 4 ) and parallel to the line whose equation is y=5

1 answer:

3 0

Y=5 is a horizontal line parallel the the x axis. the equation of the line passing through the point (3,-4) AND parallel to y=5 is y=-4

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What does A equal?<br><br>•1<br>•4<br>•58

IRINA_888 [86]

Answer:

a=4

Step-by-step explanation:

if a+5=2a+1

then 5-1 = 2a-a

so 4 = a

4 0

3 years ago

For what values of θ on the polar curve r=θ, with 0≤θ≤2π , are the tangent lines horizontal? Vertical?

Bond [772]

Given that $r=\theta$ , then $r'=1$

The slope of a tangent line in the polar coordinate is given by:

$m= \frac{r'\sin\theta+r\cos\theta}{r'\cos\theta-r\sin\theta}$

Thus, we have:

$m= \frac{\sin\theta+\theta\cos\theta}{\cos\theta-\theta\sin\theta}$

Part A:

For horizontal tangent lines, m = 0.

Thus, we have:

$\sin\theta+\theta\cos\theta=0 \\ \\ \theta\cos\theta=-\sin\theta \\ \\ \theta=- \frac{\sin\theta}{\cos\theta} =-\tan\theta$

Therefore, the <span>values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are horizontal are:

</span><span>θ = 0

</span>θ = <span>2.02875783811043
</span>
θ = <span>4.91318043943488

Part B:

For vertical tangent lines, $\frac{1}{m} =0$

Thus, we have:

$\cos\theta-\theta\sin\theta=0 \\ \\ \Rightarrow\theta\sin\theta=\cos\theta \\ \\ \Rightarrow\theta= \frac{\cos\theta}{\sin\theta} =\sec\theta$

</span>Therefore, the <span>values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are vertical are:

</span>θ = <span>4.91718592528713</span>

3 0

3 years ago

olganol [36]

Correct Option is D. Lines 72-75 ("Consider . . . happiness")

In lines 72-75, Wollstonecraft provides evidence that society’s leaders grant freedoms that privilege men. She argues that while society’s leaders believe they “are acting in the manner best calculated to promote [women’s] happiness,” their decisions don’t allow women to “contend for their freedom.”

Choices A, B, and C do not provide the best evidence that society’s leaders grant freedoms that privilege men over women.

<h3>The lines from passage are - </h3>

Consider—I address you as a legislator—

whether, when men contend for their freedom, and

to be allowed to judge for themselves respecting their

own happiness

Previous Question is :

"In Passage 2, the author claims that freedoms granted by society's leaders have:"

<h3>This question is based on paragraph from Mary Wollstonecraft, A Vindication of the Rights of Woman. Originally published in 1792, which is given below -</h3>

Passage 2 -

"Contending for the rights of woman, my main argument is built on this simple principle, that if she be not prepared by education to become the companion of man, she will stop the progress of 45 knowledge and virtue; for truth must be common to all, or it will be inefficacious with respect to its influence on general practice.

...............................................

open before you when you observed, "that to see one half of the human race excluded by the other from all participation of government, was a political phenomenon that, according to abstract principles, it 65 was impossible to explain." If so, on what does your."

To learn more about passages from given link

brainly.com/question/25950911

#SPJ4

3 0

2 years ago

Carrie collected shells from the seashore in a box he takes out a handful of shells from the box is this a random sample of shel

Leya [2.2K]

This would be random. This is because Carrie has no clue or has a limited knowledge of what type of shells he would grab.

4 0

3 years ago

{5x+15}{8x-42} solve for angle CDE

Natalka [10]