I’ll give the first person to answer brainiest

Answer:

2x2−3y2=6or2x26−3y26=1 or. x23−y22=1or(x−0)2(√3)2−(y−0)2(√2)2=1. This is standard form of the equation of a hyperbola with center.

Step-by-step explanation:

c2 = a2 + b2. Every hyperbola has two asymptotes. A hyperbola with a horizontal transverse axis and center at (h, k) has one asymptote with equation y = k + (x - h) and the other with equation y = k - (x - h).

The slopes of the asymptotes of the hyperbola are +3 and -3.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

The standard equation for a hyperbola with a horizontal transverse axis is:

[tex](x-h)^2/a^2 - (y-k)^2/b^2 = 1[/tex]

where (h,k) is the center of the hyperbola, "a" is the distance from the center to the vertices along the x-axis, and "b" is the distance from the center to the vertices along the y-axis.

Comparing this to the given equation:

[tex]x^2/2^2 - y^2/6^2 = 1[/tex]

We can see that h = k = 0, a = 2, and b = 6.

The slopes of the asymptotes are given by:

±(b/a)

So, the slopes of the asymptotes are:

±(6/2) = ±3

Therefore,

The slopes of the asymptotes of the hyperbola are +3 and -3.

Learn more about equations here:

https://brainly.com/question/17194269

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Answer:

3/4

Step-by-step explanation:

any thing in the form of y=mx+x,

mx is the slope

Answer:

4

Step-by-step explanation:

11.2/2.75=4.07272(repeating number)

Answer:

11 1/5 divided by 2 3/4:

11 1/5 is a bit less than 12, and 2 3/4 is a bit less than 3

The answer, therefore, should be fairly close to 12 ÷ 3

12 ÷ 3 is 4

Answer is 4

Step-by-step explanation:

here ya go bub! (pls mark me brainlest)

Answer:

x = 0.1875

Step-by-step explanation:

first, you group up all of the same numbers or letters. (2x +2x)

then you solve the problem:

2x ^2 = 2x - 3

4x^2 = -3

16x = 3

16       16

x = 0.1875

Answer:

down below:)

Step-by-step explanation:

200 times 80 times 60 is:

200 times 80 is 16000

16000 times 60 is 960000

Answer:

~1.5

Step-by-step explanation:

3/2.009 = 1.493280238924838 = ~1.5

Answer:

(x-3)(x^2+3x+9)

Step-by-step explanation:

Answer:

4.16667

Step-by-step explanation:

Solution,

1ft= 12 inch

So,

50 inches= 50÷12

=4.16667

Answer:

6

Step-by-step explanation:

22 = 3x+4

subtract 4 from both sides

18 = 3x

divide both sides by 3

6 = x

Answer:

27

Step-by-step explanation:

3x + 9 = 90

3x = 90 - 9

3x = 81

x =27

Answer:

190 square inches

Step-by-step explanation:

Answer:

190

Step-by-step explanation:

Answer:

9:15 a.m

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-2n-5=17  Equation/Question

Step 2

-2n-5=17  Simplify

-2n-5=17

Step 3

-2n-5=17  subtract 5

-2n=-22

Step 4

-2n=-22  Divide

answer

n=-11

Hope this helps

Answer:

-1/30

Step-by-step explanation:

just subtract then divide.

(this is simplest form)

        nvm

my bad, i forgot some steps you can delete this answer if wanted.

Answer:

$1813.28

Step-by-step explanation:

Answer:

$124.27

Step-by-step explanation:

A = Principal(1 + r/n)^nt

r = interest rate

n = # times compounded

t = # years

A = 120 (1 + .035/12)^12(1)

A = 120(1 + .0029)^12

A = 120(1.0029)^12

A = 120 x 1.0353

A = 124.27

Answer:

≈ 4.12 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (- 1, 9)

d = [tex]\sqrt{(-1-3)^2+(9-8)^2}[/tex]

   = [tex]\sqrt{(-4)^2+1^2}[/tex]

   = [tex]\sqrt{16+1}[/tex]

   = [tex]\sqrt{17}[/tex]

    ≈ 4.12 ( to the nearest hundredth )

Answer:

The distance between given points is: 4.12 units

Step-by-step explanation:

Given points are:

(3, 8) and (-1, 9)

Here

[tex](x_1,y_1) = (3,8)\\(x_2,y_2) = (-1,9)[/tex]

The distance is calculated using the following formula:

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Putting the values, we get

[tex]d = \sqrt{(-1-3)^2+(9-8)^2}\\d = \sqrt{(-4)^2+(1)^2}\\d = \sqrt{16+1}\\d = \sqrt{17}\\d = 4.123105...[/tex]

Rounding off to nearest hundredth

d = 4.12 units

Hence,

The distance between given points is: 4.12 units

Answer:

4.16x+6y=1

Step-by-step explanation:

The given equation of the line is:

      8x + 3y  = 1

From this line, we need to re-arrange and write in the form of the equation of  a straight line.

        The equation of a straight line is given as:

         y  = mx + c

  8x + 3y  = 1

         3y = -8x + 1

          y  = [tex]\frac{-8x}{3}[/tex]  + [tex]\frac{1}{3}[/tex]  

 The slope of the line is [tex]\frac{-8}{3}[/tex]

  Any line from the given choices that will be parallel to the is must have the same slope as it is.

That line is 16x + 6y  = 1

                         6y  = -16x + 1

                            y = [tex]\frac{-16x}{6}[/tex]  + [tex]\frac{1}{6}[/tex]  

                           y = [tex]\frac{-8x}{3}[/tex]  +  [tex]\frac{1}{6}[/tex]  

Answer:

`sis that ship looks so flawking hard

Step-by-step explanation:

Answer:

Step-by-step explanation:

You think about it or go search it up my guy.

Answer:

the answer is 0.75c

Step-by-step explanation:

Hope this helps

Answer: There’s alot of answers but one of the is 18 table with the cost of 11,700$ and 1 chair with 200$ so in totally it 11,900, less then 12,000

Step-by-step explanation:

Answer:

12.1 meters. Hope this helped, would love brainliest!

Step-by-step explanation:

For this question we will have to try each option.

12.675+2.3=14.975 14.975+14.975+12.675+12.675=55.3 This ones not it.

25.35+2.3=28.65 28.65+28.65+25.35+25.35=108 This ones not it either.

12.1+2.3=14.4 14.4+14.4+12.1+12.1=53 THIS ONES IT!

we do not have to do the last one

Answer:

%18 tip

Step-by-step explanation:

The dinner cost was $29 before tip

after tip it was $32.22

34.22-29= $5.22  she tipped

$29 * %x = $5.22

After solving this equation, the x is %18

Answer:

Anil runs more by 180m.

Step-by-step explanation:

Given that:

Length of side of square park = 90 m

We will find the perimeter.

Perimeter = 4s

Perimeter = 4(90) = 360 m

Measurements of rectangular parks = length 50 m and width 40 m

Perimeter = 2(Length + Width)

Perimeter = 2(50+40) = 2(90) = 180 m

360 m > 180m

Difference = 360 - 180 = 180 m

Hence,

Anil runs more by 180m.

Answer:

ST = 8 m

Step-by-step explanation:

Since both triangles are congruent to each other, therefore their corresponding angles and corresponding side lengths would be equal to each other accordingly.

Side ST in ∆STU corresponds to side PQ in ∆PQR. ST = PQ.

Side PQ = 8 m

Therefore, side ST = PQ = 8 m