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Mariana [72]
3 years ago
10

What is the equation of a hyperbola with a = 9 and c = 12? Assume that the transverse axis is horizontal

Mathematics
1 answer:
Lorico [155]3 years ago
4 0
The general equation of a hyperbola with a horizontal transverse axis is defined as:
x²/a² - y²/b² = 1

Solving for b², we use the formula: a² + b² = c²
b² = 12² - 9² = 63

Equation of our hyperbola will be:
x²/81 - y²/63 = 1
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determine if the quadratic equation has 2 solutions, one, or 2 imaginary solutions by using the descriminant
Maurinko [17]

Hello from MrBillDoesMath!

Answer:

31a.  2 real roots

31b   2 complex roots

Discussion:

31a.

2x^2 + 3x - 6 = 0

Using standard quadratic notation, the above equation has a  = 2, b = 3 and c = -6. The discriminant is given by b^2 - 4ac, which is

3^2 - 4*2*(-6) = 9 + 48 = 57 > 0, so the quadratic has 2 real roots


31b.

The equation is equivalent to  16x^2 + 10x  +3 = 0. Its discriminant is

10^2 - 4 * (16) * (3) = 100 - 192 = -92 so this equation has two complex roots



Regards,  

MrB


7 0
3 years ago
I need help with this geometry question
UNO [17]

Answer:

radius ≈ 15.5

Step-by-step explanation:

the radius is RS

the angle between a tangent and the radius at the point of contact is 90°

then Δ RST is a right triangle

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , then

RS² + ST² = RT² ( substitute values )

RS² + 7² = 17²

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6 0
2 years ago
The volume of a cube is 3375 cubic inches. what is the measure of each side of the cube
OlgaM077 [116]

Answer:

The measure of each side of the cube is

<h2>15 inches</h2>

Step-by-step explanation:

Since it's a cube all it's sides are equal

To find the length of each side we use the formula

Volume of a cube = l³

where l is the measure of one side

From the question

Volume = 3375 cubic inches

Substitute this value into the formula and solve for l

That's

<h3>{l}^{3}  = 3375</h3>

Find the cube root of both sides

That's

<h3>\sqrt[3]{ {l}^{3} }  =  \sqrt[3]{3375}</h3>

We have the final answer as

<h3>l = 15 inches</h3>

Hope this helps you

6 0
4 years ago
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Ratling [72]
Your answer will be 60%

Have a nice day
4 0
3 years ago
Read 2 more answers
Can someone please help me with #3?
kap26 [50]

Answer:


Step-by-step explanation:

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7 0
3 years ago
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