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2 years ago

Determine e, k, and identify the type of conic for r= 12/ 7- cos theta

Mathematics

1 answer:

nlexa [21]2 years ago

7 0

Answer:

The answer is (d) ⇒ e = 1/7 , k = 12 , conic ellipse

Step-by-step explanation:

∵ r = ek/(1 ± ecosФ)

∵ r = 12/(7 - cosФ) ⇒ ÷ 7 up and down

∴ r = 12/7 ÷ 1 - 1/7 (cosФ)

∴ e = 1/7

∵ 12/7 = ke ⇒ 12/7 = k(1/7)

∴ k = 12

∵ 0 < e < 1

∴ The conic is ellipse

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Write Algebraically: Thirty less than negative fifteen times a number is greater than 54 more than negative three times a number

Yuri [45]

Answer

-15x - 30 > -3x + 54

Explanation

Let's break this sentence down.

Thirty less than means [whatever goes before] minus 30.

Negative fifteen is -15.

Times a number means multiplying by a number. The number will be a variable. And in this case, the variable will be x.

Is greater than means more than.

Negative three is -3.

Times a number means multiplying by a number (in case you forgot or get confused, I wrote it again). That number will be a variable; x. This is the same number.

Now let's write down the equation.

Let's break both sides of the inequality, meaning the left side of 'greater than' and the right side.

The left side says this; "thirty less than negative fifteen times a number."

So let's write this.

So thirty less is minus 30. You are subtracting from "negative fifteen times a number."

Negative fifteen is -15... times a number is -15x.

So the left side of the inequality is -15x - 30.

The right side says this; "54 more than negative three times a number."

54 more than means adding 54 meaning + 54.

And you are adding 54 to "negative three times a number."

Negative three is -3, times a number is -3x.

So the right side of the inequality is -3x + 54.

So the full inequality is -15x - 30 > -3x + 54.

6 0

3 years ago

Please, giving all my points.

lutik1710 [3]

Answer: -4x-34y-32

(I think this is right but I am not completely sure... if its not I am sorry :/ )

Step-by-step explanation:

First Way:

48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3)

48[(6/24x-8/24x)-(8/24y+9/24y)-2/3]

48(-2/24x-17/24y-2/3)

48(-1/12x-17/24y-2/3)

-4x-34y-32

Second Way:

48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3)

12x-16y-16x-18y-32

-4x-34y-32

6 0

3 years ago

Twice x plus 5 is the same as -12

Anastasy [175]

Answer:

Step-by-step explanation:

2x+5=-12

2x=-17

x=-8.5

8 0

3 years ago

Read 2 more answers

Select the correct answer from each drop-down menu. Trapezoid PQRS be inscribed in a circle because the .

prisoha [69]

Trapezoid PQRS be inscribed in a circle because its opposite angles are supplementary.

According to the statement

we have given that the Trapezoid PQRS be inscribed in a circle and we have to find the correct answer from the given data.

So, For this purpose, we know that the

The inscribed quadrilateral conjecture states that the opposite angle of any inscribed quadrilateral are supplementary to each other. That is, they have a sum of 180 degrees.

From the diagram given,

the opposite angles in the trapezoid are 115 and 65 degree.

So, after adding it become

115 + 65 = 180 degrees.

Therefore, we can conclude that: trapezoid QPRS can be inscribed in a circle because its opposite angles are supplementary.

So, Trapezoid PQRS be inscribed in a circle because its opposite angles are supplementary.

Learn more about inscribed quadrilateral conjecture here

brainly.com/question/12238046

Disclaimer: This question was incomplete. Please find the full content below.

Question:

Select the correct answer from each drop-down menu.

Trapezoid PQRS

4650

be inscribed in a circle because the

Reset

115⁰

65°

For more understanding please see the image below.

#SPJ4

3 0

1 year ago

Someone please help me with this chart, I don’t understand it.

lidiya [134]

Answer:

The second one is (3 x 3 x 3 x 3) x (3 x 3)

Step-by-step explanation:

6 0

3 years ago