Answer:
4y^2 - 9x^2 = -36
Step-by-step explanation:
x = 2 sec t
y = 3 tan t
x^2 = 4 sec^2 t
y^2 = 9 tan^2 t
Now sec^2t = 1 + tan^2 t so we have:
4(1 + tan^2 t) + 9 tan^2 t = x^2 + y^2
4 + 13 tan^2 t = x^2 + y^2
13 tan^2 t = x^2 + y^2/ - 4
tan^2 t = x^2/13 + y^2/13 - 4/13
But , from the second equation tan t = y/3 so tan^2 t = y^2/9, so:
y^2/9 = x^2/13 + y^2/13 - 4/13
LCM of 9 and 13 is 117 so multiply thru by 117:
13y^2 = 9y^2 + 9x^2- 36
4y^2 - 9x^2 = -36
Answer:
Step-by-step explanation:
The formula to calculate continuously compounded interest is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
substitute in the formula above
Answer:
G =3
Step-by-step explanation:
if you multiply out x+7 and x-4 you get x^2+3x-28
The 3 in the above equation is like the G
5(5x-10)=15
5x-10=3
5x=10+3
5x=13
Divide both sides by 5-5 and 5 cancel out to leave you with x 13/5 =2.6
X=2.6
1) 2
2x2=4 4’s square root is 2
2) 3
3) 729
9^3
4) 16
(2^6)^2/3
2^6x3/3
2^12/3
2^4
16
5) 1/2
1/3 square root 8
1/2