Answer:
Options (1), (2), (4) and (5) are correct.
Step-by-step explanation:
Characteristics of the given hyperbola,
1). Vertex of the given hyperbola are at (-3, 6) and (-3, 4).
2). Since center of a hyperbola is the center of a line joining vertices of the hyperbola,
Center of the given parabola will be,
⇒ (-3, 5)
3). Vertical line joining the foci of the hyperbola is the transverse axis.
4). A line perpendicular to the transverse axis and passing through the center will be the conjugate axis.
5). Directrices of a horizontal hyperbola are the horizontal lines.
Therefore, Options (1), (2), (4) and (5) are correct.
50 minutes
given 30% we require to find 100%
divide 15 minutes by 30 to obtain 1% and multiply by 100 for 100%
time = 15 ×
= 50 minutes
If a triangle is inscribed in a circle such that one side of that triangle is a diameter of the circle, then the angle of the triangle that is opposite the diameter is a right angle.
Therefore we have the equation:
5x = 90 <em>divide both sides by 5</em>
x = 18
<h2>
Answer: A: 18</h2>
Option A
The new price is $ 
<h3><u>Solution:</u></h3>
Given that, a stock was priced at $
per share.
It rose in price by $
per share.
New price = old price + rise in price
Thus to find out the new price, we have to add old price and rise in price


On solving we get,


On converting to mixed fraction,

Hence, the new price is
, so option A is correct.
Answer:
y = -x + 3
Step-by-step explanation:
The equation of a line with slope equal to -1 and y-intercept equal to 3 has the form
y = mx + b. With m = -1 and b = 3, we get: y = -x + 3
Think about this problem, please. Is there any way in which you could be clearer about what you wanted to learn?