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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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Dale deposits $4000 into an account that pays simple interest at a rate of 6% per year. How much interest will he be paid in the
BartSMP [9]

Answer:

$1200

Step-by-step explanation:

$4000 x .06 = $240 x 5 years = $1200

7 0
3 years ago
The legs of the right triangle are 2 and 4. Find the length of the hypotenuse.
RoseWind [281]

Correct answer:

19.7ft

Explanation:

This problem is solved using the Pythagorean theorem  (a2+b2=c2).  In this formula a and b are the legs of the right triangle while c is the hypotenuse.

Using the labels of our triangle we have:

o2+a2=h2

\dpi{100} h^{2}=(10ft)^{2} +(17ft)^{2}

h2=100ft2+289ft2

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3 years ago
Please help! BRAINLIEST!!!
poizon [28]

Answer:

50. in this graph it is talking about the rate it changed from 1 to 4

Step-by-step explanation:

f(b)-f(a)/b-a

270-120/4-1

50

6 0
3 years ago
Can somebody help me with this math problem?
skad [1K]

Answer:

B) Rational, not an integer.

Step-by-step explanation:

The number is a decimal continuing forever; it is predictable. This means that it is Rational. If the number was not repeating then it would be irrational.

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7 0
3 years ago
How many times greater is<br> 3.8 x 105<br> than<br> 1.9 X 1022<br> 2<br> 20<br> 200<br> 2000
PilotLPTM [1.2K]

Step-by-step explanation:

there must be something wrong with your text.

what we can see is

3.8 × 105

and

1.9 × 1022

the true answer for these values has nothing to do with the 4 answer options.

maybe you meant

1.9 × 10.5 ?

because that answer would be 20.

but first working with the presented numbers :

3.8 × 105 = 399

1.9 × 1022 = 1941.8

so, the second number is actually much bigger than the first number.

but if it is

1.9 × 10.5 = 19.95

that works.

and we can either use the calculator to calculate

399 / 19.95 = 20

or we can simply look at the factor changes of the multiplication terms.

3.8 = 1.9 × 2

105 = 10.5 × 10

so, the multiplication product of the two larger numbers is then 2×10=20 times larger than the product of the 2 smaller numbers.

7 0
3 years ago
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