**Answer:**

**Step-by-step explanation:**

Given

initial Velocity(u)=44 ft/s

ball initial height =4 ft

as launch angle is not given so considering ball is hit vertically upward

where u =initial velocity

v=final velocity

a=acceleration

s=distance traveled

time taken to reach 30.06 ft

total distance to reach ground=4+30.06 ft=34.06 ft

t=1.45 s

**Answer:**

3(2 + 9)

**Step-by-step explanation:**

The numbers 6 and 27 can be written as factored as

6 = 2 * 3

27 = 3 * 3 * 3

The both have one factor of 3 in common.

The greatest common factor (the GCF) of 6 and 27 is 3.

Now we factor out 3. To do that, we divide both 6 and 27 by 3.

6/3 = 2

27/3 = 9

We see that

6 + 27 = 3 * 2 + 3 * 9,

and the common factor of 3 is in both multiplications.

Finally, we factor out the 3, leaving the results of the divisions inside the parentheses.

6 + 27 = 3 * 2 + 3 * 9 = 3(2 + 9)

Answer: 3(2 + 9)

**Answer:**

x = ± 3, x = ± 2i

**Step-by-step explanation:**

Given

f(x) = (x² + 4)(x² - 9)

To find the zeros let f(x) = 0, that is

(x² + 4)(x² - 9) = 0

Equate each factor to zero and solve for x

x² - 9 = 0 ( add 9 to both sides )

x² = 9 ( take the square root of both sides )

x = ± = ± 3

x² + 4 = 0 ( subtract 4 from both sides )

x² = - 4 ( take the square root of both sides )

x = ± = ± = ± × = ± 2i

Thus zeros are

x = - 3, x = 3 ← real

x = - 2i, x = 2i ← complex

Solve for x over the real numbers by completing the square.

(x - 8)² = 48

Take the square root of both sides:

x - 8 = 4 √(3) or x - 8 = -4 √(3)

Add 8 to both sides:

x = 8 + 4 √(3) or x - 8 = -4 √(3)

Add 8 to both sides:

**Answer: x = 8 + 4 √(3) or x = 8 - 4 √(3)**

**Answer:**

x = -1/2

**Step-by-step explanation:**

multiply the -4 to all in parentheses

-4(3-2x) +2x =2x -8

-12+8x +2x =2x-8

isolate x by moving whole numbers to other side of equal sign and x to the other side

8x +2x -2x = -8+12

8x = -4

/8

divide by 8 to isolate x

x= -4/8

simplify

x= -1/2