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WINSTONCH [101]
2 years ago
6

Determine if

Mathematics
1 answer:
Gnesinka [82]2 years ago
7 0

The values of a and b are 1/4 and 1/5 respectively

<h3>How to determine the true statement?</h3>

The function is given as:

16x^2 - 25y^2 = 1

The above function is a horizontal hyperbola.

A horizontal hyperbola that passes through the origin is represented as:

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

Rewrite 16x^2 - 25y^2 = 1 as

\frac{x^2}{1/16} - \frac{y^2}{1/25} = 1

By comparison, we have:

a^2 = \frac{1}{16}

b^2 = \frac{1}{25}

Solve for  a and b

a = \frac{1}{4}

b = \frac{1}{5}

Hence, the values of a and b are 1/4 and 1/5 respectively

Read more about hyperbola at:

brainly.com/question/27799190

#SPJ1

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Answer:

(x+4)(6x^2 - 7)

Step-by-step explanation:

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Factoring out x+4, we get (6x^2 - 7), and so 6x³ + 24x² -7x -28 in factored form is (x+4)(6x^2 - 7).

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3 years ago
Give three real-world examples of rectangular prisms. Then give two real-world examples of triangular prisms. Explain how you kn
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Three real world examples of rectangular prisms include juice boxes, cereal boxes, and even cargo containers. Two real world examples of triangular prisms include camping tents and triangular roofs. I chose these objects to represent triangular and rectangular prisms because triangular prisms have two triangular faces and three rectangular faces and rectangular prisms have six rectangular faces.

Sample Response: Boxes, ice cubes, and brick are examples of rectangular prisms. Ramps and tents are examples of triangular prisms. A rectangular prism has six rectangular faces. A triangular prism has two triangular faces and three rectangular faces.

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Mr. Nice's backyard has an area of 225 square feet. What is the length of one side of his backyard?
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<em>C. 15 feet</em>

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Integration of (cosec^2 x-2005)÷cos^2005 x dx is
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