Answer:
The vertex of this parabola is 
Step-by-step explanation:
One way of finding the x-coordinate of the vertex of a parabola is by using the equation 
From the function 
, we can see that
This means that
So, the x-value of the vertex is -2. Now, we can plug this x-value into the function to find the y-coordinate of the point.
Thus, the vertex of this parabola is
I would use the pythagorean theorem to find the lengths of each side. a² + b² = c².
Side AB is one we're looking for. If you make other right triangle with that same side you can see that one length is 4 and the other is 3. So, 4² + 3² = c² → 25 = c² → 5 = c. Side AB is length 5.
Side AC is another. Do the same with that side and you get that one length is 4 and the other is 3. (This is the same one as above) so side AC is length 5.
Side BC is the last one. One of the lengths is 1 and the other is 1 → 1² + 1² = c² → 2 = c² → 1.414213562 = c so side BC is approximately length 1.41.
Add each length up and you get a perimeter of roughly 11.4
a) You are given the rate as 7.4m/min,
The equation would become d = 7.4t where d is the total distance and t would be the total number of minutes.
b) d would be a positive number because the diver is ascending, which means he is moving up towards the surface.
c) To find how long it took the diver, replace d with 41.36 ( how deep the diver was) and solve for t:
41.36 = 7.4t
To solve for t, divide both sides by 7.4:
t = 41.36 / 7.4
t = 5.59 minutes ( 5 minutes and 35 seconds)
Answer:
7
Step-by-step explanation:
Subtracting the equations yields that m=2, and thus c=3.
