A hyperbola with a center at (0, 0) can be defined as x²/a² − y²/b² = ±1.<span>
</span>The statement "<span>The symmetry of a hyperbola with a center at (h, k) only occurs at y = k" </span>is false, because a hyperbola have many different orientations.
It doesn't have to be symmetric about the lines y = k or x = h.
Answer:
it have no answer in real number(but it have in complex number if you know)
Step-by-step explanation:
4x^2+36=0
4x^2=-36
(if you know complex numbers see this: x^2=-9 then
)
Answer: D ( 17/20)
Step-by-step explanation:
The two choices are:
The ‘standard’ tariff charges = $0.10 per unit
The ‘day/night tariff’ = $0.12 per unit for each unit consumed between 06:00 and 22:00 but only $0.05 for each unit consumed between 22:00 and 06:00
The day time is between 22:00 and 06:00
Time = 22 - 6 = 16 hours
Let assume that the charges are unit per hour.
For standard tariff = (16 × 0.10) + 0.2
Standard tariff = 1.6 + 0.2 = 1.8
For day/night = (16 × 0.12) + 0.2
= 1.92 + 0.2
= 2.12
The proportion will be
1.8/2.12 = 17/20 ( approximately)
Answer:
a) 
b) 
Step-by-step explanation:
From the question we are told that:
3 coin are tossed
Therefore
Sample space
Generally the sets that correspond with the result of at most one tail is therefore given as follows
Therefore
The result is at most one tail when
Answer:
choice A; 128.52 square feet
Step-by-step explanation:
This shape is made up of a semi-circle and a rectangle. The area of the rectangle will be 12*6 = 72 sq ft.
The formula for area of a circle is 
*
. also r=radius. We are given the diameter, 12 feet. The radius is diameter/2, so the radius of the circle will be 6 feet.
Since pi is infinite we round it to 3.14.
Plug in the values and our expression will be (3.14*
)/2 because it is a semi-circle. Simplify that to (3.14*36)/2 = 113.04/2 = 56.52 sq ft.
Remember to add the area of the rectangle and semi-circle. 72 + 56.52 = 128.52 sq ft.
