Answer:
Step-by-step explanation:
The standard equation of a parabola is
y² = 4ax
where, a is the focus,
The coordinates of the centre of parabola is (0,0)
coordinates of focus is (a, 0)
It is symmteric about the x axis
the equation of directrix is x = -a.
For this case we have by definition, that the equation of a line in the slope-intersection form is given by:

Where:
m: It's the slope
b: It is the cutoff point with the y axis
We need two points through which the line passes to find the slope:

We found the slope:

So, the equation is of the form:

We substitute a point to find "b":

Finally, the equation is:

Answer:
Option D
Answer:

Step-by-step explanation:
At least 6 hours means that the people took at least 6 hours and at most any number that is greater than 6. Here the greatest no. is 10.
<em><u>So, the range for this will be 6-10</u></em>
No. of People who sleep for 6-8 hours = 9
No. of People who sleep for 8-10 hours = 3
No. of People who sleep for 6-10 hours = 9+3
=> 12 people
Answer:
96
Step-by-step explanation:
To determine how much additional wax was needed to make the taller candle, we determine the volume of each of the candles and find the difference in their volumes
<u>First Candle</u>
- Height=12cm
- Length=4 cm
- Width= 6 cm
Volume=Height X Length X Width
=12 X 4 X 6
=288
<u>Second Candle</u>
The second candle is 4cm higher
- Height=12+4=16cm
- Length=4 cm
- Width= 6 cm
Volume=Height X Length X Width
=16 X 4 X 6
=384
Difference in Volume = 384-288 =96
Therefore, 96
of additional wax was used to make the second candle.