If hyperbola e e and hyperbola (x ^ 2) / 4 - (y ^ 2) / 9 = 1 have the same asymptote and pass through point a (4, - 3), then the standard equation of hyperbola e is? emergency

If hyperbola e e and hyperbola (x ^ 2) / 4 - (y ^ 2) / 9 = 1 have the same asymptote and pass through point a (4, - 3), then the standard equation of hyperbola e is? emergency


Let the equation be:
(X^2)/4-(Y^2)/9=a;
Bring a in to get:
a=3;
Let a = 3 be taken into account
(X^2)/12-(Y^2)/27=1;
This is the easiest way



X = 3A is inequality 1 / 5 (x-3)


Multiply both sides by 5 to get x-3 < 5x-3
Subtract 4x from both sides and add 3 to get - 4x < 0
Divide both sides by - 4 to get x > 0
So 3A > 0, a > 0



Simple calculation of 9998 + 3 + 99 + 998 + 3 + 9


9998+3+99+998+3+9
=10000-2+3+100-1+1000-2+3+10-1
=10000+100+1000+10
=11110



If LIM (a1 + A2 + '+ an) = 2, and A3, A5 and A6 are equal difference sequences, then A1


Let A1 = a
Then LIM (a1 + A2 + '+ an) = A / (1-Q) = 2 and the absolute value of Q must be less than 1
a=2-2q
A3, A5 and A6 are equal difference, then A3 + A6 = 2a5
Is A3 + a3 * Q & # 179; = 2A3 * Q & # 178;
1+q³=2q²
q³-q²=q²-1
q²(q-1)=(q+1)(q-1)
(q²-q-1)(q-1)=0
The absolute value of Q is less than 1, so q = 1
q²-q-1=0
If the absolute value of q = (1 - √ 5) / 2 or (1 + √ 5) / 2 is less than 1, then only q = (1 - √ 5) / 2 can be taken
Then a = 2-2q = 1 + √ 5



In the known polynomials about a, what are the polynomials with constant term of - 1, coefficient of first term of 2, coefficient of second term of 0 and coefficient of third term of 5?
This is our thinking expansion question in the first lesson of the second volume of the first grade of junior high school!


5a3+2a-1
Among them, 3 is the index of A



The weight of a barrel of edible oil is 5 kg. After half of the oil is used up, the weight of the whole barrel is 2.6 kg. How many kg of oil is there in the barrel? Suppose there is x kg of oil in the barrel


5-x/2=2.6;
x/2=2.4;
x=4.8;
There is 4.8kg of oil in the barrel



If the image of the function f (x) = A & # sin2x + (A-2) cos2x is symmetric with respect to the line x = - π / 8, then the value of a is?


Will you wait for me



How to solve the equation of 1.6 divided by (x-0.45) = 3.2, and how to solve the equation of (x + 4) divided by 5 = 6, and explain it to me, so that I can do it next time


1.6÷(x-0.45)=3.2
x-0.45=16÷3.2
x-0.45=5
x=5.45
(x+4)÷5=6
x+4=6×5
x+4=30
x=26



The diameter of the outlet pipe of a water pump is 1 decimeter, and the water flow velocity at the pipe orifice is 2 meters per second. How many cubic meters can be pumped per minute?


Radius = 1 △ 2 = 0.5 decimeter = 0.05 meter
Water = 0.05 × 0.05 × 3.14 × 2 × 60 = 0.942 M3



When x → 0, f (x) is infinitesimal of the same order as those quantities
When x → 0, f (x) = (1-cosx) ln (1 + 2x ^ 2) is an infinitesimal of the same order as the following
A.x^3 B.x^4 C.x^5 D.x^2


f(x)=(1-cosx)ln(1+2x^2)~x^2/2*2x^2=x^4
So choose B