Which of the following is the equation for the graph shown?

9514 1404 393

  D  y²/5 -x²/4 = 1

Step-by-step explanation:

The y-intercept is about 2.2, or √5. This point (0, √5) only satisfies the equation of the last choice:

  y²/5 -x²/4 = 1

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Additional comment

The second attachment tells you the foci are located at (0, ±(a²+b²)), where a² and b² are the denominators in the above equation. That is the foci are ...

  (0, ±√(4+5)) = (0, ±3) . . . . as shown in the graph

This confirms the equation denominators are rightly 5 and 4, with 5 being the denominator of y².

The second attachment has the equation for a hyperbola that opens along the x-axis. Interchange the variables x and y to get the hyperbola shown in this problem statement.

4 & 3

step-by-step explanation:

factor of 108=2×2×3×3×3=2×2×3^3=the number is 4 because 2 only occurs 2 times and 2×2=4 and factor of 2187=3^3×3^3×3=the number is 3 because 3 onlyvoccur 1 time.