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algol [13]
3 years ago
9

©

Mathematics
1 answer:
mafiozo [28]3 years ago
4 0

Answer:

She bought 2 videos and 8 CDs.

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The center of a hyperbola is located at the origin. One focus is located at (−50, 0) and its associated directrix is represented
leva [86]

The equation of the hyperbola is : \frac{x^{2}}{48^2}  - \frac{y^{2}}{14^2}  = 1

The center of a hyperbola is located at the origin that means at (0, 0) and one of the focus is at (-50, 0)

As both center and the focus are lying on the x-axis, so the hyperbola is a horizontal hyperbola and the standard equation of horizontal hyperbola when center is at origin: \frac{x^{2}}{a^{2}}  - \frac{y^{2}}{b^{2}}    = 1

The distance from center to focus is 'c' and here focus is at (-50,0)

So, c= 50

Now if the distance from center to the directrix line is 'd', then

d= \frac{a^{2}}{c}

Here the directrix line is given as : x= 2304/50

Thus, \frac{a^{2}}{c}  = \frac{2304}{50}

⇒ \frac{a^{2}}{50}  = \frac{2304}{50}

⇒ a² = 2304

⇒ a = √2304 = 48

For hyperbola, b² = c² - a²

⇒ b² = 50² - 48² (By plugging c=50 and a = 48)

⇒ b² = 2500 - 2304

⇒ b² = 196

⇒ b = √196 = 14

So, the equation of the hyperbola is : \frac{x^{2}}{48^2}  - \frac{y^{2}}{14^2}  = 1

5 0
3 years ago
Read 2 more answers
Help? please lol<br> school is so confuesing
Phoenix [80]

\frac{6x}{x^{4} + 5}

Let's plug in 2 anywhere that we see an x:

\frac{6(2)}{(2)^{4} + 5}

\frac{12}{16 + 5}

\frac{12}{21}

Both the numerator and denominator are divisible by 3, so we can divide 3 out of each to get the final answer:

\frac{3 * 4}{3 * 7}

\frac{4}{7}

6 0
3 years ago
Which is a valid prediction about the continuous function f(x)?
goblinko [34]
I believe the answer is C. third choice

<span>f(x) ≥ 0 over the interval [–1, 1].</span>
6 0
3 years ago
Read 2 more answers
the scale from a square park to a drawing of the park is 5 m to 1 cm the actual park has an area of 1,600 m² what is the area of
ludmilkaskok [199]

Answer:

<h2>64 cm²</h2>

Step-by-step explanation:

given:

the scale from a square park to a drawing of the park is 5 m to 1 cm

the actual park has an area of 1,600 m²

find:

what is the area of the drawing of the park​

solution:

drawing scale is 5m : 1cm

<u>1,600 m² </u> = <u>      5² m²  </u>    

   x                  1² cm²

cross multiply:

5² m² x = 1600 m² (1 cm²)

x =<u> 1600 m² </u>

      5² m²

x = 64 cm²

therefore, the area of a square park in the drawing is 64 cm²

5 0
3 years ago
If you divide 7/8 by 3/4, will the quotient be greater than<br> or less than 7/8
Verizon [17]
I believe that the quotient of 7/8 divided by 3/4 is 1.6 repeating and 1.6 repeating is 1 and 2/3 as a fraction so that means that the quotient of 7/8 by 3/4 is greater than 7/8. I hope this helped.
8 0
4 years ago
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