The numerical representation and final elevation of the fish relative to sea level are :
- Final position = -13.52 + 7.8
- Final position = - 5.72
<u>Given the Parameters</u> :
Initial depth of fish = - 13.52
Change in elevation of fish = 7.8 feets
Positions below sea level are represented as negative values (-) ;
Hence, initial position of fish = - 13.52
Change in position = Rise in depth of 7.8 feets
<u>The numerical representation of the final position of the </u><u>fish</u><u> </u><u>can</u><u> </u><u>be</u><u> written thus</u> :
- Final position = Initial position + change in position
- Final position = - 13.52 + 7.8
Hence, the final position of the fish will be :
- Final position of fish = -13.52 + 7.8 = - 5.72
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It is already in simplest form, since 17 is a prime number.
Answer:
Step-by-step explanation:
A hyperbola is a curve for which the difference of the distances |d₂ - d₁| of any point P from the foci is constant.
The definition leads to the equation
1. Calculate the value of a²
Assume the neighbours are at the foci A and B.
The explosion is farther from B than from A, so it occurred on the right branch of the hyperbola.
Then AB = 1 mi = 5280 ft
and the distance from the focus to the y-axis is
c = 2640
The vertices are (±a,0).
The speed of sound is 1100 ft/s, so B is 2200 ft further from the explosion.
The distance from A to the vertex V₁ is c - a. Then
AB = 2200 + 2(c - a) = 2200 -2(2640 - 2a) = 2200 +5280- 2a = 5280
2a = 2200
a = 1100
a² = 1 210 000
2. Calculate the value of b²
3. Write the equation for the hyperbola
Answer:
3/14
Step-by-step explanation:
5/7 = 10/14
1 - 10/14 - 1/14 = 1 - 11/14 = 3/14
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