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Marat540 [252]
2 years ago
12

Which lines are the directrices of the ellipse?

Mathematics
1 answer:
algol [13]2 years ago
4 0

The lines that are the directrices of the ellipse is B. x = −3.25 and x = 9.25.

<h3>How to calculate the ellipse? </h3>

From the information given, the equation of parabola will be:

= (x - 3)²/5² + (y - 2)²/3² = 1

Hence, h = 3, k = 2, a = 5, b = 3

e = ✓1 - ✓3²/5²

E = 4/5 = 0.8

The directix will be:

x = 3 + 5/0.8

x = 9.25

x = 3 - 5/0.8

x = -3.25

Therefore, lines that are the directrices of the ellipse is x = −3.25 and x = 9.25.

Learn more about ellipse on:

brainly.com/question/16904744

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Which polynomial is prime?<br> Ox+3x²-x²-3<br> Ox4-3x²-x² + 3<br> O 3x²+x-6x-2<br> O 3x²+x-6x + 3
GarryVolchara [31]

Answer:

The polynomial 3x² + x - 6x + 3  is a prime polynomial

How to determine the prime polynomial?

For a polynomial to be prime, it means that the polynomial cannot be divided into factors

From the list of options, the polynomial (D) is prime, and the proof is as follows:

We have:

3x² + x - 6x + 3

From the graph of the polynomial (see attachment), we can see that the function does not cross the x-axis.

Hence, the polynomial 3x² + x - 6x + 3  is a prime polynomial

Read more about prime polynomial at:

brainly.com/question/2944912

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8 0
2 years ago
Can someone please answer. There is a picture. It is only one question. Thank you so much!
muminat
So you need getting the coordinates of center of the circle x and y 
- than you check this graph so you get x= -3 and y=-1
8 0
3 years ago
Solve 3 -x = 243 -5 1/5 5
Paraphin [41]

Answer:

x=-243

Step-by-step explanation:

The equation is

-3^{-5}=\frac{1}{x}

Solve for x

we know that

-3^{-5}=-\frac{1}{3^{5}}=-\frac{1}{243}

substitute

-\frac{1}{243}=\frac{1}{x}

so

x=-243

3 0
3 years ago
Read 2 more answers
A l-meter steel rod is bent into a rectangle so that its length exceeds quadruple its width
Dmitry_Shevchenko [17]

Answer:

The dimensions of the newly formed rectangle is length is 41 cm and width is 9 cm.

Step-by-step explanation:

Given,

A 1 meter steel rod is bent into a rectangle.

That means the perimeter of the rectangle is 1 meter.

So, Perimeter = 1\ m=100\ cm

Let the width of the rectangle be 'x'.

Now According to question, length exceeds quadruple its width by 5 cm.

Hence framing the above sentence in equation form, we get;

Length=4x+5

Now we use the formula of  perimeter of rectangle,

Perimeter=2(Length+width)

On substituting the values, we get;

2(4x+5+x)=100\\\\(5x+5)=\frac{100}{2}\\\\5x+5=50\\\\5x=50-5\\\\5x=45\\\\x=\frac{45}{5}=9

Now, we substitute the value of x to get the value of length;

Length=4x+5=4\times9+5=36+5=41\ cm

Thus, Width=9 cm    Length=41 cm

Hence the dimensions of the newly formed rectangle is length is 41 cm and width is 9 cm.

6 0
3 years ago
Determine the value of that makes the equati
arsen [322]

Answer:

x = 5.5

Step-by-step explanation:

  1. 6-(2x-4)+x = 6-2x+4+x = 10-x
  2. 3(x-4) = 3x-12
  3. Based on the 1st and the 2nd steps, 10-x=3x-12 --> 10+12=3x+x --> 22 = 4x --> x =22/4 = 5.5
3 0
3 years ago
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