<h3>
Answer: x = -1</h3>
Explanation:
The given quadratic is in the form y = ax^2 + bx + c
We have a = 1, b = 2, c = 2
This then leads to
h = -b/(2a)
h = -2/(2*1)
h = -1
This is the x coordinate of the vertex (h,k)
The axis of symmetry is the vertical line passing through the vertex. So it must share the x value in question.
Meaning the axis of symmetry is x = -1. Every point on this vertical line has an x coordinate of -1. This line of symmetry splits the parabola into two equal mirrored halves.
I recommend using a graphing tool like Desmos to visually confirm the answer.
The answer is the number 4
The fireworks display occur at 550.331 ft
The generic equation for a hyperbola provided by: is the best method for solving the problem in this instance.
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We presume that the y-axis is where the hyperbola's longer axis lies.
In this instance, the sound traveled a total of 1100 meters, and the value of a can be calculated as follows:
2a = 1100
a = 550ft
Given that the two people are 3 miles apart, we can calculate the value of c in feet as follows:
1 mile = 5280 feet
∴ 3 miles = 15840 ft = c
And this is how we may determine what b is worth:



Our equation is thus given by:

And for this case we want to find the value of x when y = 3ft=15840ft and solving for x we get,





x = 550.331 ft.
The fireworks display occur at 550.331 ft.
Learn more about hyperbola here :
brainly.com/question/14307125
#SPJ1
We can l<span>abel the length (l), width (w), and height (h) of the prism and use the </span>formula<span>, SA=2lw+2lh+2hw, because it has '6' faces and to find the </span>surface area put the values in the formula:
SA=2(6)(3)+2(6)(2)+2(2)(3)
SA=36+24+12
SA=72
Answer:
Step-by-step explanation:
#6
a n
---- = ---- Solve for a. Note that if we multiply both sides of this equation by
m p n
m, we get a = m * ----
p
m*n
and this simplifies to a = mn/p or a = ---------
#7 Solve mx = np for x. We want to isolate x on the left side. Dividing
both sides by m isolates x on the left and adds the divisor m on the right:
np
mx = np => x = ------
m
#8 Solve c - x = d + r for x We want -x alone on the left side. Accomplish this by subtracting c from both sides, obtaining:
-x = d + r - c. Now multiply both sides by -1, obtaining x = -d - r + c