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bagirrra123 [75]
3 years ago
8

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

Mathematics
1 answer:
ehidna [41]3 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

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What are the solutions to m^2 – 9 = 0? a. m = –9 and m = 0 b. m = –3 and m = 3 c. m = –3 d. m = 9
marysya [2.9K]
2 ways
zero product property
easy way

zero product
factor perfect square
m^2-3^2=0
(m-3)(m+3)=0
set each to zero
m-3=0
x=3

m+3=0
m=-3

m=-3 or 3

easy way
add 9 to both sides
m^2=9
sqrt both sides remember to take postive and negative roots
m=+/-3
m=-3 or 3


B is answer

5 0
3 years ago
Just some questions I need answered!
Anni [7]

4z>-60

divideby 4

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x+19 <=-5

subtract 19 from each side

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7 0
2 years ago
A. Write 64√2 in the form 2^n
xxMikexx [17]

We get the expression 64√2 in the form 2ⁿ as 2⁶°⁵.

An expression is a way in which numbers are written.

It can be variables, constants or a combination of both.

We are given an expression:

64 √2

We know that:

64 = 2 × 2 × 2 × 2 × 2 × 2

64 = 2⁶

Also, we can write √2 as

√2 = 2⁰°⁵

We get that:

2⁶ × 2⁰°⁵

simplifying the expression, we get that:

= 2⁶⁺⁰°⁵

= 2⁶°⁵

Therefore, we get the expression 64√2 in the form 2ⁿ as 2⁶°⁵.

Learn more about expression here:

brainly.com/question/723406

#SPJ9

7 0
11 months ago
Solve the equation n2 − 29 = 260 by using square roots.
umka2103 [35]

Answer:

Option A, n = ± 17

Step-by-step explanation:

<u>Step 1:  Add 29 to both sides</u>

n^2 - 29 = 260

n^2 - 29 + 29 = 260 + 29

n^2 = 289

<u>Step 2:  Square root both sides</u>

\sqrt{n^2} = \sqrt{289}

n = ± 17

Answer:  Option A, n = ± 17

4 0
2 years ago
Distribute to create an equivalent expression with the fewest symbols possible. 4(x - 2 y) =
Mkey [24]

Answer:

Step-by-step explanation:

4x-8y

8 0
1 year ago
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