The equation of hyperbola is
where a is the distance from the center of hyperbola to the vertex of hyperbola.
From the diagram it is seen that the center of hyperbola is at the origin O(0,0) and the vertex of hyperbola is at the point (150,0). Then the distance a=150.
Hyperbola passes through the point (180,100), so its coordinates satisfy the hyperbola equation:
Therefore, the hyperbola equation is
![\dfrac{x^2}{150^2}-\dfrac{y^2}{\dfrac{1500^2}{99}}=1.](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5E2%7D%7B150%5E2%7D-%5Cdfrac%7By%5E2%7D%7B%5Cdfrac%7B1500%5E2%7D%7B99%7D%7D%3D1.)
If you mean where m=17 then the answer is 3 because 17-5 is 12 and 12/4 is 3.
Answer:
are congruent by ASA property
Step-by-step explanation:
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Sample Space for coin=H,T
n(S)=2
n(head)=1
P(of getting a head)=1/2
Sample Space for die=1,2,3,4,5,6
n(S)=6
n(odd numbers)=3
P(of getting an odd number)=3/6=1/2
P(of getting a head on the coin and an odd number on the die)=1/2 + 1/2 =1
Probability expressed as a percentage=1*100%=100