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babunello [35]
4 years ago
13

Someone please help??

Mathematics
1 answer:
Sidana [21]4 years ago
8 0

4 is the correct answer as 4th root of 1296 is 6

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LORAN is a long range hyperbolic navigation system. Suppose two LORAN transmitters are located at the coordinates (−60,0) and (6
USPshnik [31]

LORAN follows an hyperbolic path.

The equation of the hyperbola is: \mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}

The coordinates are given as:

\mathbf{(x,y) = (-60,0)\ (60,0)}

The center of the hyperbola  is  

\mathbf{(h,k) = (0,0)}

The distance from the center to the focal points is given as:

\mathbf{c = 60}

Square both sides

\mathbf{c^2 = 3600}

The distance from the receiver to the transmitters  is given as:

\mathbf{2a = 100}

Divide both sides by 2

\mathbf{a = 50}

Square both sides

\mathbf{a^2 = 2500}

We have:

\mathbf{b^2 = c^2 - a^2}

This gives

\mathbf{b^2 = 3600 - 2500}

\mathbf{b^2 = 1100}  

The equation of an hyperbola is:

\mathbf{\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1}

So, we have:

\mathbf{\frac{(x - 0)^2}{2500} + \frac{(y - 0)^2}{1100} = 1}

\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}

Hence, the equation of the hyperbola is: \mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}

Read more about hyperbolas at:

brainly.com/question/15697124

7 0
3 years ago
Read 2 more answers
What is the scale factor?<br><br> Answer Choices<br> 4<br> 21<br> .25<br> 1.4
Anestetic [448]

Answer:

The answer would be 4

Step-by-step explanation:

4 0
2 years ago
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Factor completely.
lidiya [134]

9 \times {x}^{2}  - 25 \\  = 9 {x}^{2}  - 25 \\  = (3x - 5)(3x + 5)

Answer is D.

Hope this helps. - M
4 0
4 years ago
Read 2 more answers
In a school of 200 students, 90 students are in the marching band, 145 students are on sports teams and 75 students participate
mars1129 [50]

Answer:

c

Step-by-step explanation:

3 0
3 years ago
Use the segment addition postulate to write three equations using the diagram below
creativ13 [48]

Answer:

PQ + QR = PR => equation 1

RS + ST = RT => equation 2

PR + RT = PT => equation 3

Step-by-step explanation:

Points P, Q, R, S, and T are collinear therefore, the following equations can be written based on the segment addition postulate:

PQ + QR = PR => equation 1

RS + ST = RT => equation 2

PR + RT = PT => equation 3

More equations can actually be written from the diagram given using the segment addition postulate. Such as:

PQ + QR + RS + ST = PT

8 0
3 years ago
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