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Firlakuza [10]
2 years ago
7

A hyperbola has vertices (±5, 0) and one focus (6, 0). What is the standard-form equation of the hyperbola?show steps

Mathematics
1 answer:
valentina_108 [34]2 years ago
7 0

The standard form of a hyperbola with center (h,k) is

We know the vertices are at (5,0) and (-5,0)

The vertices are at (h+a,k) and ( h-a,k)

The center must be at (0,0) and the a value is 5

The coordinates of the foci are at ( h+c,k) and ( h-c, k) and we know one of the foci is at (6,0)

c is equal to 6

We know that c^2 = a^2+b^2

6^2 = 5^2 + b^2

36 = 25+b^2

11 = b^2

We can write the equation

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mr_godi [17]

Answer:

Ambos cometas coincidirán en 2016.

Step-by-step explanation:

(The following exercise is presented in Spanish and for such reason explanation will be held in that language).

Sean t_{1} y t_{2} los años en los que se hacen visibles los cometas, respectivamente. Se sabe que los cometas coinciden cuando se pueden ver el mismo año, ese año estaría asociado al mínimo común múltiplo de ambos intervalos de tiempo, el cual sería igual a 72 años. Entonces, ambos cometas volverán a coincidir en 2016.

4 0
4 years ago
(-2,-5) on a graph. I really need to know.
DedPeter [7]

Answer:

Step-by-step explanation:

The blue dot is where (-2,-5) is on a graph.  Hope this helps!

7 0
3 years ago
Easy question please help
omeli [17]

Answer:

y = 3x - 2

Step-by-step explanation:

Required

The equation of the above linear function

From the table, we have:

(x_1,y_1) = (1,1)

(x_2,y_2) = (2,4)

Calculate slope (m)

m = \frac{y_2 -y_1}{x_2 -x_1}

m = \frac{4 -1}{2 -1}

m = \frac{3}{1}

m =3

The equation is:

y = m(x - x_1) + y_1

So, we have:

y = 3(x - 1) + 1

y = 3x - 3 + 1

y = 3x - 2

3 0
3 years ago
Help please helppppppp
Rudiy27
1. subtraction expression 8-3
the difference multiplied by 4
expression 2 is 4 times as large as expression 1
7 0
3 years ago
3. Eric filled 3/4 buckets with sand. Then he filled
Sedbober [7]

Answer:

  472 3/4

Step-by-step explanation:

Consider the meaning of "one, and one more". That does not mean zero (1-1). Rather, it means two (1+1).

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Then 3/4 and 472 more is ...

  \dfrac{3}{4}+472=472\frac{3}{4}

Eric has 472 3/4 buckets filled with sand.

_____

The problem statement here seems to be focused on the filled buckets, rather than the sand stockpile that Eric is working from. The amount in that stockpile is being reduced by the amount that is being used to fill buckets. In short, whether you add or subtract depends on what you're trying to figure.

5 0
3 years ago
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