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2 years ago

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Alexa owns a total of 45 fiction and nonfiction books. If the number of fiction books is 15 more than 4 times the number of nonf

iction books, how many fiction books does she own?

1 answer:

Vikentia [17]2 years ago

4 0

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The center of a hyperbola is (−2,4) , and one vertex is (−2,7) . The slope of one of the asymptotes is 1/2 .

maxonik [38]

Answer:

<h2>The equation is $\frac{(y - 4)^{2} }{9 } - \frac{(x + 2)^{2} }{36 } = 1$ .</h2>

Step-by-step explanation:

The equation of a hyperbola is represented by $\frac{(y - k)^{2} }{b^{2} } - \frac{(x - h)^{2} }{a^{2} } = 1$ , where (h, k) is the center of the hyperbola.

As per the given condition, h = -2 and k = 4.

Thus, the equation becomes $\frac{(y - 4)^{2} }{b^{2} } - \frac{(x + 2)^{2} }{a^{2} } = 1$ .

One vertex is (-2, 7).

Hence, putting x = -2 and y = 7, we get $b^{2} = 9$ .

The slope of the asymptote is $\frac{b}{a}$ .

Hence, $\frac{b^{2} }{a^{2} } = \frac{1}{4} \\a^{2} = 36$ .

Thus, the equation is $\frac{(y - 4)^{2} }{9 } - \frac{(x + 2)^{2} }{36 } = 1$ .

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2 years ago

Do the numbers show a pattern 11.23,10.75,10.3,9.82,9.37,8.89

sattari [20]

Answer:

is this a yes or no question

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2 years ago

to make dough Reba needs 2 and 1/2 cups of flour how much flour does she need to make 5 batches of dough

Levart [38]

12 1/2 cups (2 1/2 x 5= 12 1/2)

Please mark me brainliest!

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2 years ago

In the graph, the amount of sales tax (t) is proportional to the price (p) of an item.

shusha [124]

Answer:

i would guese c

Step-by-step explanation:

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2 years ago

What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form? Quadratic formula: x = x = x = x = x =

irinina [24]

X²+5x+5 has zeroes given by x=(-5±√25-20)/2=(-5±√5)/2=-1.3820 and -3.6180.
In simplest radical form the zeroes are -5/2+√5/2 and -5/2-√5/2.

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2 years ago

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