Explain how to write a function rule from the table below. Then write a function rule.

Solve for x.

inessss [21]

Answer:

3

Step-by-step explanation:

6 0

3 years ago

A landscaper wants to create a 12-foot-long diagonal path through a rectangular garden. The width of the garden is x feet and th

dolphi86 [110]

Answer:

Width of the rectangle = 6.7 ft

length of the rectangle = 10.7 ft

Step-by-step explanation:

ABCD is the rectangle.

AB = length of the rectangle = 4 + x ft

BC = width of the rectangle = x ft

AC = Diagonal of the rectangular field = 12 ft

Since ΔABC is the Right angle triangle. So

$AC^{2} = AB^{2} + BC^{2}$

$12^{2} = (4 + x)^{2} + x^{2}$

$144 = x^{2} + 16 + x^{2} + 8 x$

$144 = 2x^{2} + 8x + 16$

$x^{2} + 4x -72 = 0$

By solving above equation we get

x = 6.7 ft

Thus is the width of the rectangle.

And length of the rectangle = 4 + x

⇒ 4 + 6.7

⇒ 10.7 ft

5 0

3 years ago

Read 2 more answers

What are the coordinates of point F after a 90° clockwise rotation about the origin

Amanda [17]

Answer: -3,5

Step-by-step explanation:

5 0

3 years ago

What is the LCM of 12 46

STALIN [3.7K]

Answer:

To get the Least Common Multiple (LCM) of 12 and 46 we need to factor each value first and then we choose all the factors which appear in any column and multiply them:

12:

2

3

46:

2

23

LCM:

2

3

23

The Least Common Multiple (LCM) is: 2 x 2 x 3 x 23 = 276

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Alpha Corporation has 1,500 shares of $40 par, 7% cumulative preferred stock, and 2,200shares of 10$ par common stock.Alpha paid

Scilla [17]

Answer:

Common stockholders received $1,600.

Step-by-step explanation:

Cumulative preferred stock can be described as a type of preferred stock in which dividends not paid in any year accumulate and has to be paid first in future before common stockholders receive any dividends.

Since the dividends paid in cash by Alpha Corporation includes one- year dividends in arrears to preferred stockholders, this implies that the cumulative preferred stockholders have to paid 2-year dividends, i.e. the one-year arrears plus the current year dividend.

Amount received by common stockholders can be calculated as follows:

Amount of dividend paid by Alpha = $10,000

Annual cumulative preferred stock dividend = 1,500 * $40 * 7% = $4,200

Amount received by cumulative preferred stockholders = Annual cumulative preferred stock dividend * 2 years = $4,200 * 2 = $8,400

Amount received by common stockholders = Amount of dividend paid by Alpha - Amount received by cumulative preferred stockholders = $10,000 - $8,400 = $1,600

Therefore, common stockholders received $1,600.

8 0

3 years ago