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2 years ago

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

Read more about prime polynomial at:

brainly.com/question/2944912

#SPJ5

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

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

$x=-243$

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:

6-(2x-4)+x = 6-2x+4+x = 10-x
3(x-4) = 3x-12
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