All categories

2 years ago

Find the standard form equation of the Hyperbola -2y-82+9x^2=y^2

Mathematics

1 answer:

ehidna [41]2 years ago

3 0

Answer:

x²/9 − (y + 1)²/81 = 1

Step-by-step explanation:

-2y − 82 + 9x² = y²

9x² = y² + 2y + 82

9x² = y² + 2y + 1 + 81

9x² = (y + 1)² + 81

9x² − (y + 1)² = 81

x²/9 − (y + 1)²/81 = 1

You might be interested in

The slope of the line that passes through the point (2,4) and (3,8) is?

tatiyna

It’s 4 I think sorry if I’m wrong

7 0

2 years ago

gordon bought a bag that was a mix of apples and oranges in a ratio of 5:4 there were 27 fruits in all how many fruits were in t

V125BC [204]

Answer:

apples= 15

oranges = 12

Step-by-step explanation:

5+4=9

27/9=3

therefore

apples=3*5=15

oranges=4*3=12

6 0

1 year ago

Geometry Pythagorean theorem

lara31 [8.8K]

Answer:

Below!

Step-by-step explanation:

Using Pythagoras theorem, I will solve all of the problems.

<u>Question 9:</u>

10² = 6² + x²
=> 100 = 36 + x²
=> 100 - 36 = x²
=> 64 = x²
=> x = 8

<u>Question 10:</u>

26² = 24² + x²
=> 676 = 576 + x²
=> 676 - 576 = x²
=> 100 = x²
=> x = 10

<u>Question 11:</u>

15² = 12² + x²
=> 225 = 144 + x²
=> 225 - 144 = x²
=> 81 = x²
=> x = 9

<u>Question 12:</u>

x² = 8² + 12²
=> x² = 64 + 144
=> x² = 208
=> x = √208
=> x = 14.2 (Rounded)

<u>Question 13:</u>

7² = 2² + x²
=> 49 = 4 + x²
=> 49 - 4 = x²
=> 45 = x²
=> x = √45
=> x = 6.7 (Rounded)

<u>Question 14</u>

First, let's solve for the variable x using Pythagoras theorem.

=> 5² = 3² + x²
=> 25 = 9 + x²
=> 16 = x²
=> x = 4 units

Now, let's solve for the variable y using Pythagoras theorem.

(3 + 6)² = 5² + y²
=> (9)² = 25 + y²
=> 81 = 25 + y²
=> y² = 56
=> y = √56
=> y = 7.5 (Rounded) units

Answers (Nearest tenth):

x = 4 units
y = 7.5 units

<u>Question 15:</u>

First, let's find the value of the variable y using Pythagoras theorem.

8² = 6² + y²
=> 64 = 36 + y²
=> 28 = y²
=> y = √28
=> y = 5.3 (Rounded) units

Now, let's find the value of the variable x using multiplication.

x = 2y
=> x = 2(5.3)
=> x = 10.6 units

Answer (Nearest tenth)

x = 10.6 units
y = 5.3 units

5 0

1 year ago

A square tile has an area of 324 square inches. what is the perimeter of the square tile in inches?

kotykmax [81]

The formula of an area of a square: $A=a^2$

a - side

We have: $A=324\ in^2$

substitute:

$a^2=324\to a=\sqrt{324} \to a=18\ in$

The fromula of a perimeter of a square is: $P=4a$

substitute:

$P=4\cdot18=72\ in^2$

7 0

2 years ago

X + 34 = 40 what does "x" equal? explain

butalik [34]

Hey there!

6 + 34 = 40

so x = 6

Hope this helps
Have a great day (:

8 0

2 years ago

Read 2 more answers