please help solve....

The equation of the hyperbola is:

[tex]\frac{x^2}{8} - \frac{y^2}{8} = 1[/tex]

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They are both in the x-axis, and the center is (0,0), which means that the equation is:

[tex]\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1[/tex]

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Directrices at [tex]x = \pm 2[/tex] means that:

[tex]\frac{a^2}{c} = 2[/tex]

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Foci at [tex]x = \pm 4[/tex] means that:

[tex]c^2 = 4^2 = 16 \rightarrow c = 4[/tex]

Thus:

[tex]a^2 = 2c = 2(4) = 8[/tex]

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For b, we have that:

[tex]a^2 + b^2 = c^2[/tex]

[tex]8 + b^2 = 16[/tex]

[tex]b^2 = 8[/tex]

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Thus, since a and b have been found, the equation of the hyperbola is:

[tex]\frac{x^2}{8} - \frac{y^2}{8} = 1[/tex]

A similar problem is given at https://brainly.com/question/20409089

Answer:

481.5

Step-by-step explanation:

The music art museum is divided into 6 sections

Each section contains the same timert of tiles

There are 2889 tails total

Therefore the number of tiles in each section can be calculated as follows

= 2889/6

= 481.5

Hence there are 481.5 tiles in each section

Step-by-step explanation:

Since all 3 sides of the triangle is equal, it is not only an isosceles, but an equilateral triangle.

x = 8sin60° = 6.928 or sqrt48.

That is a question about triangles.

In my answer I will show 2 ways to solve that question, ok? Let's go.

The line segment x divide the biggest triangle in 2 equals right triangles.

Let's choose one of them and note that is a triangule with hypotenuse equals to 8 and one cathetus equals to half of 8.

The Pythagoras's theorem says that:

[tex]\boxed{a^2 = b^2 + c^2}[/tex]

a is the hypotenuse and b and c are cathetus.

So, in our case, we know the hypotenuse and one cathetus, let's substitute that in the expression:

[tex]a^2 = b^2 + c^2\\8^2 = 4^4 + c^2\\64 = 16 + c^2\\c^2 = 64 - 16\\c^2 = 64 -16\\c^2 = 48\\c = \sqrt{48}\\c= 4\sqrt{3}[/tex]

Therefore, the value of x is [tex]4\sqrt{3}[/tex].

That way to solve the question is a consequence of the previous way.

That triangle has all the sides equals, so it is a equilateral triangle.The line segment x is the height of that triangle. And we can find the equilateral triangle height using that expression:

[tex]\boxed{h = \frac{S\cdot \sqrt{3} }{2} }[/tex]

h is the height and S is the triangle's side.

So, we know that the side of our triangle is 8. Let's change S value in the expression:

[tex]h = \frac{S\cdot \sqrt{3} }{2} \\h = \frac{8\cdot \sqrt{3} }{3} \\h = 4\sqrt{3}[/tex]

Thus, the value of x is [tex]4\sqrt{3}[/tex].

Note that in the 2 ways we find the same result, so that answer is correct.

I hope I've helped. :D

Enjoy your studies! \o/

Answer:

877.40

Step-by-step explanation:

Answer:

1. 100pi cm

2. 200.96 yd

3. 7

Step-by-step explanation:

1.) diameter = radius multiple by two (D = r × 2)

&

radius = diameter divided by two (r = D ÷ 2)

So

20 ÷ 2 = 10 => A = pi (10)power 2 => A = 100pi

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2.) 3.14 × (8)power2 =200.96

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3.) A = 49pi => 49pi = pi(r)power2

[ cross out the pi from both sides]

And your left with

49 = (r)power2

[square root both sides to get rid of the power]

And your left with

7 = r

Answer:

7. [tex]r^{19}[/tex]

Step-by-step explanation:

r^11 x r^8 =

r^11 + 8=

2^19

Answer:

put the equations in tiger math

Step-by-step explanation:

Answer:

Step-by-step explanation:

Prime number is

Answer: Prime numbers are numbers that have only 2 factors: 1 and themselves. For example, the first 5 prime numbers are 2, 3, 5, 7, and 11. By contrast, numbers with more than 2 factors are call composite numbers.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:D

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

A solution is (-1,4) means that point of intercept is (-1,4)

<=> when x=-1 so y = 4 for both equations

From the 4 possible answers, only graph D meets the requirement.

Hope it will find you well

Answer:

Post a picture?

Answer:

Step-by-step explanation:

B

B. 9

Step-by-step explanation:

35-25=10

65+10=75 (8x+3=75)

8x+3=75

8x=72

x=72/8

x=9

9514 1404 393

Answer:

  9π ≈ 28.3 square meters

Step-by-step explanation:

Using the given formula for the area of the circle, we find its area to be ...

  A = πr^2

  A = π(3 m)^2 = 9π m^2 ≈ 28.3 m^2

The dog has about 28.3 square meters to run around in.

Answer:

Do you mean solve for t?

If you do, the answer is 9.

Step-by-step explanation:

If we expand the equation out, we get:

-t = 9t - 90

If we move the -90 over to the left side and the -t to the right side, we get:

90 = 10t

Dividing both sides by 9, we get:

t = 9

No it won't. it's false

cuz proofs here.

(5²)+(12²)= (169)

√(169) = 13

.. so if 13 was the number at 14

it would have been true.

currently the answer is false

Answer:

A) 7 is the greatest common factor of the expression.

B) factoring the expression [tex]14x + 28y + 21[/tex] we get [tex]\mathbf{7(2x+4y+3)}[/tex]

Step-by-step explanation:

We are given the expression: [tex]14x + 28y + 21[/tex]

Part A: What is the greatest common factor of the expression?

We need to find the greatest common factor of the expression.

The expression is divisible by 7

So, 7 is the greatest common factor of the expression.

Part B: Factor the expression

We need to factor the expression: [tex]14x + 28y + 21[/tex]

Taking 7 common:

[tex]14x + 28y + 21\\=7(2x+4y+3)[/tex]

So, factoring the expression [tex]14x + 28y + 21[/tex] we get [tex]\mathbf{7(2x+4y+3)}[/tex]

Answer:

A shape with four sides with two being longer than the other two?

Step-by-step explanation:

Answer:

A geometric shape with two sets of paralel lines joined by 4 vertexes.

Answer:

B

Step-by-step explanation:

Answer:

Second table (B)

Input: 0, 1, 2

Output: -3, 1, 5

Explanation:

Given the 2D linear equation y = 4x - 3,

y must represent the output because it is the dependent variable, so x must represent the input because it is a independent variable.

Answer:

The answer to the question provided is 60.

Answer:

11

Step-by-step explanation:

Since angle 11 is next to angle 12, and they should add up to 180 degrees, which makes them supplementary angles.

Answer:

The person above me is right

Answer:

B. SAS

Step-by-step explanation:

In the given diagram, it would be observed that each side of the bigger triangle are multiplied by a factor of [tex]\frac{1}{3}[/tex] to give the values of each corresponding sides of the smaller triangle. But the included angle of the two triangles are the same.

Therefore, the reason why the triangles are similar is because of side-angle-side (SAS) relations. The correct option is B.

Answer:

SAS

Step-by-step explanation:

Just Because.

Answer:

y=x-5 is parallel to y=x

Step-by-step explanation:

Answer:

its multipled by 12

Step-by-step explanation:

Answer:

1 ft = 12

Step-by-step explanation:

The length in inches is equal to the feet multiplied by twelve

Answer:

It is all 4

Step-by-step explanation:

Answer:

all 4 , the next one is A

Step-by-step explanation:

Answer:

B. [tex]-(3x+1) (x+5)[/tex]

Step-by-step explanation

factored the equation to solve. Hope this helps!

Answer:

I would say zero or undefined

Step-by-step explanation:

Answer:

c, zero slope