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 .
Given:
The inequalities are:
a) 
b) 
To find:
The solution of inequalities by substituting the given values.
Solution:
a) We have,
After substituting the given values one by one, we get
False statement.
False statement.
True statement.
True statement.
Therefore the solutions of 
are 
.
b)
We have,
After substituting the given values one by one, we get
True statement.
False statement.
False statement.
False statement.
Therefore, the solution of 
is 
.
4(2x-5)
8x-20
it is equal to 8x-20 because you simplify it and it turns into that.
HOPE I HELPED!!!
Answer:
+15
-721
0
+462
-1200
The positives are because it said 'above sea level', the negatives because it said 'below sea level' and zero because it said 'sea level'.
Answer:
<em>The length of the actual ship is 125 meters.</em>
Step-by-step explanation:
<u>Scaling</u>
Objects can be represented in a reduced or augmented size by using scaling which is basically multiplying or dividing by a constant factor. We use scaling for example, when representing geographic locations on a map.
A model ship is built to a scale of 1 cm: 5 m. This means that each centimeter of the model represents an actual length of 5 m.
The length of the model is 25 cm, thus the real ship has a length of 25*5 = 125 m.
The length of the actual ship is 125 meters.
