Answer: C) (x + 5i)(x - 5i)
<u>Step-by-step explanation:</u>
x² + 25 can be rewritten as x² - (-25)
Now use the difference of squares to factor: a² - b² = (a + b)(a - b)
√x² = x √-25 = 5i
--> x² + 25 = (x + 5i)(x - 5i)
Answer:
435.73 revolutions per minute
Step-by-step explanation:
Find the circumferance of the wheel.
27 times π which is 84.823 inches
divide that by 12 to get it into feet, 7.061 feet
Divide by 5280 to get that to miles, 0.001 miles
Divide 35 by 60 to get how many miles per minute the car travels, 0.583
Divide your miles per minute by the diameter of wheel
Your answer will be 435.73 Revolutions per Minute
Set variables for the quantities we want to find. Let x = number of applesLet y = number of oranges Next, we use these variables to write equations that describes the whole story. Since the total price is $7.75 and each type of fruit has their own price, we can say 0.40x + 0.35y = 7.55 The other equation will represent the total number of fruits bought all together, as Mark mentioned. Once you have those equations, you solve the system using substitution and elimination methods to solve for the variables x and y.
Answer: H (131.125 ft^2)
Step-by-step explanation:
first, you need to find the area of the wall
wall:
A=Lw (length times width)
A= 9.75 x 15.5 (I changed them into decimals)
A = 151.125
now you need to find the area of the window
window:
A = Lw
A = 4 x 5
A = 20
now you need to subtract the area of the window from the area of the wall to find the amount of space you need to cover with wallpaper
151.125 - 20 = 131.125
You make $8.40 per hour $117.60 divided by 14 = $8.40 per hour
Ty makes $8.25 per hour $148.50 divided by 18 = $8.25 per hour
Kim makes $8.60 per hour $137.60 divided by 16 = $8.60 per hour
Kim has the highest pay rate in dollars per hour