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anyanavicka [17]
3 years ago
7

Find an equation in standard form for the hyperbola with vertices at (0, ±9) and foci at (0, ±11)

Mathematics
1 answer:
Katen [24]3 years ago
3 0

Answer:

\frac{y^{2} }{81} -\frac{x^{2} }{40} }=1 is standard equation of hyperbola with vertices at (0, ±9) and foci at (0, ±11).

Step-by-step explanation:

We have given the vertices at (0, ±9) and foci at (0, ±11).

Let (0,±a)  = (0,±9) and (0,±c)  = (0,±11)

The standard equation of parabola is:

\frac{y^{2} }{a^{2} } -\frac{x^{2} }{b^{2} }=1

From statement, a  = 9

c² = a²+b²

(11)²  = (9)²+b²

121-81  = b²

40  = b²

Putting the value of a² and b² in standard equation of parabola, we have

\frac{y^{2} }{81} -\frac{x^{2} }{40} }=1 which is the answer.

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Answer:

See explanation.

Step-by-step explanation:

The 'base' of a rectangular prism refers to only one side of the rectangular prism, which is a rectangle.

The formula for the area of a rectangle is as follows:

A=lw

Where A = area, l = length, and w = width.

The 'base' of a cylinder refers to only one side of the cylinder, which is a circle.

The formula for the area of a circle is as follows:

A=\pi r^2

Where A = area and r = radius.

Just in case you typed your question incorrectly and were asking for surface area, here is the formula for surface area for both as well:

Rectangular prism: A=2(wl+hl+hw)\\

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3 years ago
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Step-by-step explanation:

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2 years ago
You order two servings of pancakes and a fruit cup. The cost of the fruit cup is $1.50 you leave a 15% tip. Your total bill is $
soldier1979 [14.2K]
<span>1.       </span><span>Your total cost if 11.50 dollars.
It says that you ordered pancakes and a fruit cup
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The equation would be:
=> (1.50 + x) .15 = 11.50 dollars
=> x = 11.50 – 1.50 x .15
=>  Now, let’s find the cost of the pancake
=> 11.50 - 1.50 fruit cake = 10
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Read 2 more answers
What is slope of line f?​
padilas [110]
<h3>Answer:   The fraction  2/5</h3>

=========================================================

Explanation:

We have three points marked on this diagonal line. Each point has integer or whole number coordinates. I find it is easiest to start with the y intercept, which in this case, is the point (0,0). This is the origin.

From the origin, move 2 units up and 5 units to the right to arrive at the next neighboring point (5,2).

This shows that,

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The rise indicates how much we have gone up or down. The run is the amount you move to the right. If the rise is negative, then you have gone downhill. By "downhill", I mean when the graph is read from left to right.

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Optionally you can use the slope formula

m = (y2-y1)/(x2-x1)

with any two points you want from the graph.

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