A dome tent’s arch is modeled by y= -0.18(x-6)(x+6)where x and y are measured in feet.

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 a < 0 .

As a = -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 y as follows:

Thus, the height of the highest point of the arch is 3 feet.

none of the option is correct.

step-by-step explanation:

it says to find which expression equals 9^3 sqrt 10 = ?

9^3 sqrt 10 = 729 sqrt 10.

checking option a. 5 sqrt 10 + 4 sqrt 10

5 sqrt 10 + 4 sqrt 10

= 9 sqrt 10.

checking option b. 5^3 sqrt 10 + 4^3 sqrt 10

5^3 sqrt 10 + 4^3 sqrt 10

= 125 sqrt 10 + 64 sqrt 10

= 189 sqrt 10.

checking option c. 5 sqrt 10 + 4^3 sqrt 10

5 sqrt 10 + 4^3 sqrt 10

= 5 sqrt 10 + 64 sqrt 10

= 69 sqrt 10.

checking option d. 5^3 sqrt 10 + 4 sqrt 10

5^3 sqrt 10 + 4 sqrt 10

= 125 sqrt 10 + 4 sqrt 10

= 129 sqrt 10.

hence, none of the option is correct.

10cm

step-by-step explanation:

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