One way you could solve this is to just multiply the top and bottom out so that you get 9/81, reducing it by 9/9 to get 1/9 or option C.
Another way would be to do
since dividing numbers with exponents would be subtracting the bottom exponent from the top exponent, provided that the base number (in this case 3) is the same for both. For this method, you would get
, which is equal to 1/9 or .1 repeating, the same answer that you'd get with the first method.
Answer:
5x² - 20x
Step-by-step explanation:
multiply each term in the parenthesis by the 5x outside
5x(x - 4)
= (5x × x ) + (5x × - 4 )
= 5x² + (- 20x) = 5x² - 20x
Answer:
B
Step-by-step explanation:
Drop an altitude. Either of the two resulting right triangles with legs of length 5 and x and a hypotenuse of 10.
By the Pythagorean theorem, it follows that the answer is B.
<u>Answer:</u>
$593.26
<u>Step-by-step explanation:</u>
We know that the price of the laptop is $2500 and each year its resale value decreases by 25%. It means that 100 - 25 = 75% of the value is retained every year for the resale.
So, the resale value for 1st year = 
$1875
for 2nd year = 
$1406.25
for 3rd year = 
$1054.7
for 4th year = 
$791.01
for 5th year = 
$593.25
Or we can use the following formula to find its resale value after 5 years:
$593.26
Answer:
4sqrt(2) cm
Step-by-step explanation:
a^2 + b^2 = c^2
4^2 + 4^2 = c^2
32 = c^2
sqrt(32) = c
c = 4sqrt(2)
