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
Value of 500 increased by 12% is 560
Answer:
C=100.5 inches
Step-by-step explanation:
Circumference=2πr where r=16 inches
C=2(3.14)(16)
C=100.5 inches
If there are 150 total instruments in said Orchestra, we'll need to divide that number in half.
75, simple enough. Now we know that half of 150 is 75.
Start by writing your problem like this: 150= 75w+37.5b
That equation is all I can think of, because 37.5 is half of 75, which means that's roughly the number you're looking for. Sorry if this doesn't help much<span />
Answer:
x = 8
Step-by-step explanation:
Step 1: Subtract 5x from both sides.
Step 2: Add 2 to both sides.
Step 3: Divide both sides by 2.
Step 4: Check if solution is correct.
Therefore, x = 8.
