Given the square of hyperbola 16x - the square of 9y = 144, find the focus coordinates, vertex coordinates, real axis length, imaginary axis length, and eccentricity

Given the square of hyperbola 16x - the square of 9y = 144, find the focus coordinates, vertex coordinates, real axis length, imaginary axis length, and eccentricity


From the reduction of 16x ^ 2-9y ^ 2 = 144, we can get x ^ 2 / 9-y ^ 2 / 16 = 1, we know that if the real semi axis a = 3, the imaginary semi axis B = 4, and C = 5, then the focus is (5,0), (- 5,0), the four vertices are (3,0) (- 3,0) (0,4) (0, - 4), the real axis length is 6, the imaginary axis length is 8, and the eccentricity e = C / a = 5 / 3



( )1、Don't jump ___ the wall.It 's dangerous.
A-off b-into c-on
Choose and write reasons
The teacher said a-off,


Don't jump under the wall. It's dangerous. Only option a means down, so choose a



M (3,0) is a point in the circle x2 + y2-8x-2y + 10 = 0. The linear equation of the longest chord passing through M is ()
A. x+y-3=0B. 2x-y-6=0C. x-y-3=0D. 2x+y-6=0


From the circle x2 + y2-8x-2y + 10 = 0, the standard equation is: (x-4) 2 + (Y-1) 2 = 7. Given that the center coordinate of the circle is (4,1), and m (3,0) is a point in the circle x2 + y2-8x-2y + 10 = 0, the straight line where the longest chord passes through M is the straight line passing through M and the center of the circle, and the linear equation is y − 01 − 0 = x − 34 − 3



Question 16 × 0.86 is to find ()


13.76



The area of a sector is 100 square centimeters. How much is the area if its central angle is doubled and its radius is reduced to 1 / 2 of the original?
good


100 * 2 * 1 / 2 * 1 / 2 = 50 (square centimeter)



How to determine the direction of acceleration in simple harmonic motion?


The direction of the force is the direction of the acceleration pointing to the equilibrium position



How many pieces can be made by cutting 120 cm long and 80 cm wide iron plates into the largest square with equal area and no surplus?


The greatest common factor of 120 and 80 is 40
120 / 40 * 80 / 40 = 6 pieces



The speed of a and B cars is equal. After braking, they all make uniform deceleration and linear motion. A stops 18m in 3S and B stops in 1.5s. What is the forward distance of B?
Fourth, I really can't understand it. Isn't it VO = VT at? Why VO = at?
First, how can we get v = 12m / S ^ 2?
Second and third, why 18 = 3 × V / 2? Isn't it x = TV?


A system of linear equations with two variables is established
The known time is 3 seconds
According to s = v0t + 1 / 2at ^ 2 and VO = VT + at
We can get: 18 = 3VO = vo-1 / 2 * 3 ^ 2 * a
And 0 = vo-3a
A = 4, VO = 12m / s are obtained by solving the binary linear equations
The two cars have the same speed, so the initial speed of car B is 12 m / s
The second car time is 3 + 1.5 = 4.5s
According to the formula VO = VT + at, a of car B is substituted to 0 = 12m / s-at, and a = 8 / 3 is obtained
According to the formula s = v0t + 1 / 2at ^ 2, the displacement of car B is calculated



If a sector with radius of 10cm and center angle of 216 ° is used to make the side of a cone, the height of the cone is______ cm.


As shown in the figure: the circumference of a circle is the arc length of a sector. The formula n π R180 = 2 π x, and ∵ n = 216, r = 10, ∵ (216 × π × 10) △ 180 = 2 π x is given. The solution is x = 6, H = 102 − 62 = 8. So the answer is: 8cm



There are three points on the number axis. A is - 3, B is 0, C is 2
(1) After moving point a to the right by 3 units of length and point B to the left by 2 units of length, which of the three points represents the smallest number and what is it?
(2) Can you move the two points of a, B and C so that they represent the same number?
(3) (2) there are several ways to move in. Can you list them one by one?


1. Who is the smallest number represented by three points? B, what is it?
-2.
2. A moves 3 to the right, C moves 2 to the left
3、
(1) A moves 3 to the right and C moves 2 to the left
(2) B moved 3 to the left, C moved 5 to the left
(3) A moves 5 to the right, B moves 2 to the right