We have that

we know that
Is the equation of a vertical parabola open down
so
the vertex is a maximum
step 1
convert the equation of the parabola in the vertex form

the vertex (h,k) is the point (0,36)
Part a) The point on the graph where the height of the tunnel is a maximum is (0,36)
Part b) The points on the graph where the height of the tunnel is zero feet is when y=0
so
for y=0

the points are (-6,0) and (6,0)
see the attached figure
The standard form of the equation of a circle is
.
Solution:
Center of the circle = (6, 4)
Radius of the circle = 
<u>To find the equation of the circle:</u>
General formula for the equation of a circle

where (h, k) is the center of the circle and r is the radius of the circle.
Here, h = 6, k = 4 and r = 


Hence the standard form of the equation of a circle is
.
Answer:
Step-by-step explanation:
speed=distance /time=0.9/2.5=90/25=3.6 m/s
Answer:
C Might be the best answer
Step-by-step explanation:
Sorry If I am wrong but I am sure it's right.
Answer:
To solve a system of of linear inequalities, you could do the elimination method or substitution method.
Step-by-step explanation:
- For elimination method, you can add the same value to each side of an equation. So if you have a system: x – 6 = −6 and x + y = 8, you can add x + y to the left side of the first equation and add 8 to the right side of the equation.
For substitution method, you have to:
Step 1 : First, solve one linear equation for y in terms of x.
Step 2 : Then substitute that expression for y in the other linear equation.
Step 3 : Solve this, and you have the x -coordinate of the intersection.
Step 4 : Then plug in x to either equation to find the corresponding y -coordinate.