How do you represent parts of a hyperbola algebraically?

Answers

Answer 1

The center is at the point (h, v).

The graph on both sides gets closer and closer to two diagonal lines known as asymptotes. The equation of the hyperbola, regardless of whether it’s horizontal or vertical, gives you two values: a and b. These help you draw a box, and when you draw the diagonals of this box, you find the asymptotes.

There are two axes of symmetry:

The one passing through the vertices is called the transverse axis. The distance from the center along the transverse axis to the vertex is represented by a.

The one perpendicular to the transverse axis through the center is called the conjugate axis. The distance along the conjugate axis from the center to the edge of the box that determines the asymptotes is represented by b.

a and b have no relationship; a can be less than, greater than, or equal to b.

You can find the foci by using the equation f 2 = a2 + b2.

hope this helps! may i pls have brainliest?


Related Questions

$22.95 shirt. 6% tax

Answers

Answer:

6%=0.06

y=22.95(0.06)

y=1.377

y=1.377+22.95

$24.327 = $24.33 is the total for the shirt after tax.

Step-by-step explanation:

ANSWER QUICK PLEASE I WILL GIVE BRAINLIEST

Answers

Answer:

10

Step-by-step explanation:

please hallllllllp!!!!!

Answers

Answer:

A, $20

Step-by-step explanation:

Copy the proof on paper, mark the givens in the diagram, and fill in the blanks to complete the proof.

Answers

Answer:

Step-by-step explanation:

Too hard for me to answer, sorry

im really sorry this is so late oof

HURRRY DUE IN 1 HR HEEELLLLPPP

Answers

Answer:

63m - 42

Step-by-step explanation:

9m x 7+ 6 x 7
answer is 105m

Helps me with this pls

Answers

Answer:

x=95 degrees

Step-by-step explanation:

Explanation is: Opposite interior angles are congruent. So X= 95

How to solve -7(1-4n)=-7

Answers

Answer:

n=0

Step-by-step explanation:

1-4n=1 (cancel equal terms on both sides)

-4n=0 (divide both sides of the equation by -4)

n=0

what is 39% as a fraction in its lowest form

Answers

Thirty-nine percent expressed as a fraction is 39/100. This can also be written in decimal form as 0.39.

39% as a fraction in its lowest form is 39/100.

To express 39% as a fraction in its lowest form, we need to divide the percentage by 100 and simplify the resulting fraction.

The percentage symbol "%" means "per hundred," so 39% can be written as 39/100.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD).

Here, the GCD of 39 and 100 is 1, so we divide both numbers by 1:

= 39 ÷ 1 / 100 ÷ 1

= 39/100

Therefore, 39% as a fraction in its lowest form is 39/100.

Learn more about Fraction here:

https://brainly.com/question/23118426

#SPJ6

Please help, legitimate answers only or reported

Answers

question 9

a) 2 x 3 = 6m^2

b) diameter = 2m and radius = 1m

c) πr^2 is the equation, so 3.14 x 1^2 = 3.14m^2

and the semi circle is half of that, 1.57m^2

d) 6 + 1.57 = 7.57m^7

question 10

30 x 70 = 2,100m^2

πr^2 so 3.14 x 15^2 = 706.5m^2

2,100 + 706.5 = 2,806.5m^2

i hope this is correct :D


Evaluate the expression.

log,7(1/49)

Answers

Answer:

0.01724

Step-by-step explanation:

calculator

Answer:

-2

Step-by-step explanation:

[tex] \frac{1}{49} = {7}^{ - 2} [/tex]

[tex] = log_{7}( {7}^{- 2} ) [/tex]

[tex] log_{a}( {a}^{x} ) = x[/tex]

[tex] = - 2[/tex]


5. When y = 7, which of the expressions below will be less than 150?
Select all that apply. *
A) y2.3 B) 3(2y + 5) + 6(3y – 14) C) 2y2 + 6y + 15 D) 8(y + 5) x 2

Answers

answer: A, B, and C

A) 7•2.3
16.1<150

B) 3(2•7+5)
3(14+5)
3(19)
57<150

C) 2•7•2+6•7+15
14•2+6•7+15
28+6•7+15
28+42+15
70+15
85<150

D) 8(7+5)•2
8(12)•2
96•2
192>150

The width of a rectanle is 8n - 8.5 feet and the lenght is 8.5n + 10 feet. Find the perimeter of the rectangle

Answers

Answer:

The perimeter of a rectangle is:

P = 33n+3

Step-by-step explanation:

Given

The width of a rectangle w =  8n - 8.5 feet

The length of a rectangle l = 8.5n + 10 feet

To determine

The perimeter of a rectangle = P = ?

The perimeter of a rectangle can be determined using the formula

[tex]P = 2(l+w)[/tex]

substitute l = 8.5n + 10 and w = 8n - 8.5

[tex]P=2\left(8.5n+10+8n-8.5\right)[/tex]

   [tex]=2\left(16.5n+10-8.5\right)[/tex]

   [tex]=2\left(16.5n+1.5\right)[/tex]

   [tex]=33n+3[/tex]

Therefore, the perimeter of a rectangle is:

P = 33n+3

Which equation represents the vertical line passing through (14,-16)? OA. x= -16 OB. y=-16 X= 14 O c. OD.y= 14​

Answers

Answer:

x=14

Step-by-step explanation:

if x equals 14, y can be any number and it will form a vertical line passing through (14,-16)

The sum of three numbers is 41
The second number is 5 times the first
The third number is 14 less than the second
What is the third number?​

Answers

Answer:

11

Step-by-step explanation:

let the first number be n , then the second number is 5n and

the third number is 5n - 14

Sum the numbers and equate to 41

n + 5n + 5n - 14 = 41

11n - 14 = 41 ( add 14 to both sides )

11n = 55 ( divide both sides by 11 )

n = 5

Thus

first number = 5

second number = 5n = 5 × 5 = 25

third number = 5n - 14 = 5(5) - 14 = 25 - 14 = 11

13. If the measure of one of the interior angle of a regular polygon is 135º, how many
sides does the polygon have?
1) 6
2) 8
3) 9
4) 10

Answers

Answer:

8

Step-by-step explanation:

PLEASE HELP!!!! ASAP

Answers

Answer:

x = 1/3 and x= -2

Step-by-step explanation:

-5+ and - square root 5^2 -4 times 3 times -2 which is all over 2 times 3

so square rooted 5^2-4 times 3 times -2 is 7 - -5 + and - 7 both over 2 times 3 is -5-7 divided by 2 times 3 and -5 plus 7 divided by 2 times 3 is 1/3 and -5-7 divided by 2 times 3 is -2 therefore leaving x as 1/3 and -2

Answer these questions please

Answers

Answer:

UwU

Step-by-step explanation:

SOLO QUIERO PUNTOS

20 - 12 divided by 9

Answers

Answer:

.8 repeating

Step-by-step explanation:

18,6666 is the answer that what I got hopefully this helps

It rained 1.01 inches, but 0.018 of the rain evaporated, how much rain would be left?

Answers

The answer would be 0.992
(If you want me to explain I can)

Hope this helps

Have a great day/night
Answer: 0.992
Reasoning: 1.01 – 0.018 = 0.992

please answer correctly

Answers

Answer:

for the question all the way on the bottom, for the pizza everyone paid 2.59$ each

Answer:

1. (389.205)

2. (3)

3. (35)

4. (-13)

5. (1296)

6. (25)

7. (4.305)

8. (120)

9. (529)

10. ($2.59)

Step-by-step explanation: For 1 I just used a calculator, for 2 it is just going to be 12-9 which is 3, for 3 it is 5/2 x 7/3, make the denominators the same getting 15/6 x 14/6 and getting 210, now divide by 6 getting 35, for 4, it is -3-10 which is -13, for 5 do 6x6x6x6 which equals 1296,  for 6 do 48-23 = 25, for 7 just divide, I used a calculator, for 8, multiply 20 by 12 and get 240, now divide by 2 which is 120. for 9 do 23x23 which is 529, for 10, divide 12.59 by 5 and get an answer of 2.59.    HOPE THIS HELPED!

solve the x 3x-8=6x-2​

Answers

Answer:

x = -2

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

can someone answer these, please? I need them soon

Answers

I’m not completely sure but I think
Question 1-A
Question 2-A
Question 3-J
Question 4-B
I’m not completely sure that I’m correct but this is what I would have done

The figure below is a net for the box to the right. What is the surface area of the box?

Answers

Answer:

Im not really sure, but I would put 24 square feet. You can check if my answer is right.

Step-by-step explanation:

Slope = 3; y-intercept = -5
write an equation in slope-intercept form

Answers

The answer is y=3x-5

8. Write the equation of the line that is perpendicular to the line y= -1/5X +
9 and passes through the point (-2,-2). *

Answers

Answer:

[tex]y+2=5(x+2)[/tex]

Step-by-step explanation:

Slope is negative reciprocal when lines are perpendicular to each other

therefore m=5

Equation of line in point slope form is given as

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y+2=5(x+2)[/tex]

the minimum cost for parking p is $7

Answers

is there any choices

can someone please help me with this question it's due soon

Answers

Answer:

The slope of the graph of machine 1 is: 1/2

The slope of the graph of machine 2 is: 4/5

Step-by-step explanation:

Machine 1

Machine 1 Table is given by

Time (sec)             1         2         3         4

Amount (gal)         0.5      1        1.5       2

Taking two points

(1, 0.5)(2, 1)

Determining the slope between any two points (1, 0.5) and (2, 1)

[tex]\left(x_1,\:y_1\right)=\left(1,\:0.5\right),\:\left(x_2,\:y_2\right)=\left(2,\:1\right)[/tex]

[tex]m=\frac{1-0.5}{2-1}[/tex]

[tex]m=0.5[/tex]

[tex]m = 1/2[/tex]

Therefore, the slope of the graph of machine 1 is: 1/2

Machine 2

Taking two points from the graph of Machine 2

(0, 0)(10, 8)

Determining the between any two points (0, 0) and (10, 8)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(10,\:8\right)[/tex]

[tex]m=\frac{8-0}{10-0}[/tex]

[tex]m=\frac{4}{5}[/tex]

Therefore, the slope of the graph of machine 2 is: 4/5

Emily has 75 buttons. She gave 15 buttons to Jake. What percent of buttons do that we give to Jake?

Answers

Answer:

She gave 20% away

Step-by-step explanation:

Simplify: (4x2y3)2 8x4y5 8x4y6 16x4y5 16x4y6

Answers

Answer:

(4x²y³)² 8 x⁴y⁵ 8 x⁴ y⁶ 16  x⁴ y ⁵ 16 x⁴ y⁶  = 262,144 x²⁰ y²⁸

Step-by-step explanation:

Given

          (4x²y³)² 8 x⁴y⁵ 8 x⁴ y⁶ 16  x⁴ y ⁵ 16 x⁴ y⁶  

we know that

     [tex]a^{m} X a^{n} = a^{m+n}[/tex]

     [tex](a^{m} )^{n} = a^{mn}[/tex]

   =  (16x⁴y⁶ 8 x⁴y⁵ 8 x⁴ y⁶ 16  x⁴ y ⁵ 16 x⁴ y⁶  

   = 16 ×8×8×16×16 x⁴⁺⁴⁺⁴⁺⁴⁺⁴ y⁵⁺⁶⁺⁵⁺⁶⁺⁶

 = 262,144 x²⁰ y²⁸

Damian invests $250 in a savings account with a 4% simple interest rate. Which expressions can be used to find the total amount of interest Damian will earn after 1 year?

Answers

Answer:

$260

Step-by-step explanation:

GIven

P=$250

R=4%

T=1 year

The total amount of simple interest is

A=P(1+rt)

substitute

A=250(1+0.04*1)

A=250(1.04)

A=250*1.04

A=$260

Hence the total amount is $260

Answer:

260

Step-by-step explanation:

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