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:
Domain: (-∞, ∞)
Range: (-∞, ∞)
Step-by-step explanation:
The domain are the x-values included in the function (the horizontal axis).
The range are the y-values included in the function (the vertical axis).
The two arrows on the ends of the line (pointing upwards and downwards respectively) indicate that the function goes in those direction for infinity. Therefore, if there are an infinite amount of y-values, the range is (-∞, ∞).
While the slope is quite steep, there is still a slope and slowly "expands" the line on the horizontal axis. Because there is no limit to the y-values, the domain will also expand infinitely. Therefore, the domain is also (-∞, ∞).
Answer:
28 cm
Step-by-step explanation:
Given that :
Area = 791 cm
Base, b1 = 26.5 cm
Base, b2 = 30 cm
Area, A of trapezoid :
A = 1/2 (a + b) h
Where a and b are the bases ;
791 = 1/2(26.5 + 30)h
791 = 0.5(56.5)h
791 = 28.25h
h = 791 / 28.25
h = 28 cm
Answer:
two hours and thirteen minutes.
Step-by-step explanation:
count up from 3pm to 5pm to start with. That gives you two hours
we already have 38 minutes, now just subtract the 25 minutes he spent resting.
That leaves you with 2 hours and 13 minutes.
Correct me if I'm wrong I'm currently responding to this at a major lack of sleep lol
