Step-by-step explanation:
If the parabola has the form
(vertex form)
then its vertex is located at the point (h, k). Therefore, the vertex of the parabola
is located at the point (8, 6).
To find the length of the parabola's latus rectum, we need to find its focal length <em>f</em>. Luckily, since our equation is in vertex form, we can easily find from the focus (or focal point) coordinate, which is
where 
is called the focal length or distance of the focus from the vertex. So from our equation, we can see that the focal length <em>f</em> is
By definition, the length of the latus rectum is four times the focal length so therefore, its value is
Answer:
<h2>45 in²</h2>
Step-by-step explanation:
Formula:
area of a parallelogram = base × height
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By reading the figure :
base = 15
height = 3
Therefore,
The area of the parallelogram = 15 × 3
= 45
Answer:
C. 4m + 3 > 75
Step-by-step explanation:
There is only one private chef's table so this remains constant at 3. There are m number of tables that will seat 4 people so 4 is multiplied by m.
Given:
The volume of water in a tank is modeled by the function
where, x is the number of minutes after the faucet filling the tank is turned on.
To find:
The y-intercept and what does it represent in this context?
Solution:
We have,
Substituting x=0, we get
Therefore, the y-intercept is 2 and it represents the volume of water in a tank before the faucet filling the tank is turned on.
