The size of a computer monitor is the length of its diagonal. You want to buy a 19-in. monitor that has a height of 11 in. What is the width of the monitor? Round to the nearest tenth of an inch.

15.5 inches

Step-by-step explanation:

Using the Pythagorean theorem; The square of the hypotenuse is equal to the sum of the squares of the two adjacent sides

The diagonal is the longest side of a rectangle so it becomes the hypotenuse

Let w represent the width

19^2 = 11^2 + w^2

19^2 - 11^2 = w^2

361 - 121 =  w^2

240 = w^2

w =

w = 15.5 inches

10 glasses of juice could be made with 5 carrots, 1,500 orange juice, 2,000 papaya juice.

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10