Answer:
The equation of the parabola is 
.
Step-by-step explanation:
Since the directrix is of the form 
, the parabola is vertical. The vertex of the parabola (
) is the midpoint between the focus (
) and a point of the directrix (
), that is to say:
(1)
If we know that 
and 
, then the coordinates of the vertex of the parabola:
The vertex factor (
) is the distance of the focus with respect to the vertex:
![p = \sqrt{[F(x,y)-V(x,y)]\,\bullet \,[F(x,y)-V(x,y)]}](https://tex.z-dn.net/?f=p%20%3D%20%5Csqrt%7B%5BF%28x%2Cy%29-V%28x%2Cy%29%5D%5C%2C%5Cbullet%20%5C%2C%5BF%28x%2Cy%29-V%28x%2Cy%29%5D%7D)
(2)
If we know that and , then the vertex factor is:
The equation of the parabola in the vertex form is described below:
(3)
Where:
- Independent variable.
- Dependent variable.
- Coordinates of the vertex.
If we know that 
and , then the equation of the parabola is .
Answer:
Step-by-step explanation:
3 coins make for 8 possible outcomes {HHH,HHT,HTH,THH,HTT,THT,TTH,TTT}
4 Possible outcomes conatin 2 or more heads.
Probability (At least 2 Heads) = Favourable outcomes/Total possible outcomes
= 4/8 = 1/2 = 0.5 (50%)
Area of sector is 17.584 meters
<em><u>Solution:</u></em>
Given that we have to find the approximate area of a sector given O= 56 degrees with a diameter of 12m
Diameter = 12 m
Radius = Diameter / 2 = 6 m
An angle of 56 degrees is the fraction 
of the whole rotation
A sector of a circle with a sector angle of 56 degrees is therefore also the fraction of the circle
The area of the sector will therefore also be of the area
Thus area of sector is 17.584 meters
X1 = -12 , x2 = 8 ... is the answer
Answer:
<h2>5 cm</h2>
Step-by-step explanation:
step one:
Given that the scale of the map is
2cm to represent 30 miles
That is every 1 cm is 15 miles in reality
step one:
what we are solving for is the distance in cm on the map so,
1cm rep 15miles
xcm rep 75miles
cross multiply
Xcm= 75/15
X= 5 cm
hence on the map 75miles distance between the two towns is seen as 5 cm
