Answer: The y-value of the vertex is
Step-by-step explanation: we know that
The equation of a vertical parabola into vertex form is equal to
where
(h,k) is the vertex of the parabola
In this problem we have
-----> this a vertical parabola open upward
Convert to vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
The vertex is the point
The y-value of the vertex is
Answer:
5
Step-by-step explanation:
We start by seeing how many families we have in total, which is 20. We then must subtract the number of families with girls only, the number of families with both boys and girls, and the number of families with no children. 20 - 7 is 13, then 13 - 8 is 5, and 5 - 0 is 5.
<span>So the question is what does the point (-3, -5) correspond to on the graph of the function. If we have a point on a graph in the Cartesian coordinate system then that point consists of coordinates (x, y). In other words, y=f(x) and x so (x, f(x)) where x is a x-coordinate and y=f(x) is y-coordinate. So if we have a point (-3, -5) the corresponding coordinates are x=-3 and y=f(x)=-5. So it must be true that y=f(-3)=-5. So the correct answer is a. f(-3)=-5.</span>
Answer:
Step-by-step explanation:
because the both times by 6
Answer:
53 mm
Step-by-step explanation:
Perimeter is the sum of the lengths of all its sides.
Let the length of the unknown side be x mm.
123= 25 +45 +x
x= 123 -25 -45
x= 53
Thus, the unknown side is 53 mm.
