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Lesechka [4]
3 years ago
15

Which equation represents a hyperbola with a center at (0,0), a vertex at (0,60), and a focus at (0,-65)

Mathematics
2 answers:
Leona [35]3 years ago
7 0
Given that the hyperbola has a center at (0,0), and its vertices and foci are on y-axis. This, the equation of the hyperbola is of the form
x²/a²-y²/b²=-1 (a>0, b>0)
In the equation, vertices are (0, +/-b) .
Thus, 
b=60
Foci (0,+/-√(a²+b²))
thus
√(a²+60²)=65
hence solving for a²
a²=65²-60²
a²=625
a²=25²
hence the equation is:
x²/25²-y²/60²=-1
Scrat [10]3 years ago
4 0

Answer:

So for everybody in the future, a clarification is d)y^2/60^2 -x^2/25^2=1

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dusya [7]

\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {\large{\textsf{\textbf{\underline{\underline{Answer : \:}}}}}}

False, because the number 40 is a composite number, those that cannot be broken down are called Prime Numbers.

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~\sf{Atte: Murdock:)}

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tangare [24]
I'm going to assume that the room is a rectangle.

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Now you know that x could be -29 or 20. For dimensions, the value of x must give you a positive value for length and width. That means x can only be 20. Plugging x=20 into your equations for the length and width, you get:
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8 0
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4 0
2 years ago
Here is a rectangle which has a width of x cm. x cm
miskamm [114]

Answer:

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Step-by-step explanation:

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In the attached image, we can see the length of each side. Total length of the sides are 90 cm.

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As the 8-sided shape is made from 4 rectangles, so that:

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aalyn [17]

Answer:

Step-by-step explanation:

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

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what percent did he not use...

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6 0
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