Answer:
The height of the highest point of the arch is 3 feet.
Step-by-step explanation:
The complete question is:
A dome tent’s arch is modeled by y= -0.18(x-6)(x+6) where x and y are measured in feet. To the nearest foot, what is the height of the highest point of the arch.
Solution:
The expression provided is:
The equation is of a parabolic arch.
The general equation of a parabolic arch is:
So,
a = -0.18
b = 6.48
c = 0
Highest point of the parabolic arch is the vertex of the parabolic equation if <em>a</em> < 0
.
As <em>a</em> = -0.18 < 0, the ordinate of vertex of equation will give the height of highest point of arch.
For a parabola the abscissa of vertex is given as follows:
⇒
Compute the value of <em>y</em> as follows:
Thus, the height of the highest point of the arch is 3 feet.
Mee ;) Expressing in simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find. It also means removing any radicals in the denominator of a fraction
Answer: 603
<u>Step-by-step explanation:</u>
Average rate of change is the slope over the given interval.
Interval [7, 9] is between x = 7 and x = 9. Use the table to see that the coordinates are (7, 1852) and (9, 3878). Then use the slope formula:
Interval [4, 6] is between x = 4 and x = 6. Use the table to see that the coordinates are (4, 358) and (6, 1178). Then use the slope formula:
Next, find the difference between the slopes above:
[7, 9] - [4, 6]
= 1013 - 410
= 603
Answer:
D) 25π/2 in²
Step-by-step explanation:
The area of a sector of central angle θ and radius r is ...
... A = (1/2)r²θ
Your sector has central angle π/4 and radius 10 in, so has area ...
... A = (1/2)(10 in)²(π/4)
... A = 25π/2 in² . . . . matches selection D