The answer would be D I and II only
My work:
The only answer that has both statement I and statement II as true is D<span>, but if you have time and want to be absolutely thorough, you can also check to see if statement III is true </span>
Given that the hyperbola has a center at (0,0), and its vertices and foci are on y-axis. This, the equation of the hyperbola is of the form
x²/a²-y²/b²=-1 (a>0, b>0)
In the equation, vertices are (0, +/-b) .
Thus,
b=60
Foci (0,+/-√(a²+b²))
thus
√(a²+60²)=65
hence solving for a²
a²=65²-60²
a²=625
a²=25²
hence the equation is:
x²/25²-y²/60²=-1
answer:
p = 0
step-by-step explanation:
6 (7-2p) = 12p + 42
42 - 12p = 12p + 42
+12p +12p
_______________
42 = 24p + 42
-42 -42
_____________
0 = 24p
_ ___
24 24
0 = p
<em>hope this helps! ❤ from peachimin (aka kayla)</em>