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avanturin [10]
3 years ago
11

Which equations represent the asymptotes of the hyperbola?

Mathematics
1 answer:
makvit [3.9K]3 years ago
4 0

Answer:

  see below

Step-by-step explanation:

The equation of the hyperbola can be written as ...

  ((x -h)/a)² -((y -k)/b)² = 1

This has asymptotes ...

  (x -h)/a ± (y -k)/b = 0

Solving for y, we have ...

  y = ±(b/a)(x -h) +k

Filling in the given values a=6, b=8, h=1, k=2, we have ...

  y = ±8/6(x -1) +2

  y=\dfrac{\pm4x\mp4+6}{3}\\\\\boxed{y=\dfrac{4x+2}{3}\ \text{and }y=\dfrac{10-4x}{3}}

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The diameter of a circle is 6 in. Find its area to the nearest tenth.
Marrrta [24]

Answer and Step-by-step explanation:

The area formula for a Circle is:

A = \pi r^2

Diameter is equal to the radius times 2.

<u>So, divide the diameter to get the radius.</u>

6 divided by 2 equals 3.

<u>Now, plug it into the formula.</u>

A = \pi (3)^{2}

A = 9\pi

Plug this into your calculator by multiplying 9 by pi.

<u>We get the answer to be 28.3 when rounded to the nearest tenth.</u>

<u></u>

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<em><u>#teamtrees #PAW (Plant And Water)</u></em>

8 0
2 years ago
Values of x in the equation 10x^2-64=36+6x^2
NISA [10]
10x^2-6x^2 = 4x^2
-64-36 = 100
4x^2 -100 = 0
(2x -10)(2x+10)
X = 2/10 and x = - 2/10
5 0
3 years ago
Solve for unknown: 45/15=R/9
lora16 [44]

~~~~~~~\dfrac{45}{15} = \dfrac{R}9\\\\\\\implies \dfrac{R}9 = 3\\\\\\\implies R = 9 \times 3\\\\\\\implies R =27

8 0
2 years ago
Can you help me please everyone is ignoring my questions
galben [10]

Answer:

A= 37 degrees

C= 43 degrees

Step-by-step explanation:

Hey there!

So this question looks a lot more complicated than it really is.

Complementary angles are the same.

Supplementary angles add up to 180 degrees or in other words a straight line.

If A and B are complementary and B equals 37 degrees, than A is also 37 degrees.

To find C, all we would do is subtract 37 from 180 to find the leftover amount.

180-37=43

So, in conclusion:

A= 37 degrees

C= 43 degrees

Hoped this helped! :D

Comment if you have any further questions!

3 0
3 years ago
Read 2 more answers
A newborn giraffe weighs about 65 kilograms how much does it weigh in grams
Katena32 [7]
HI 
LET ME HELP YOU WITH YOUR QUESTION

1 kg = 1000 grams

Since 1kg = 1000 grams then 65 kg will = 65000 grams 
hope it helps  
8 0
3 years ago
Read 2 more answers
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