Step-by-step explanation:
let's simply do the multiplications and then compare with the original.
(x-m)² + n
right ?
or is it
let's go for the first.
x² - 2mx + m² + n = x² - 3x
-2mx + m² + n = -3x
fun there we see two things :
-2m = -3
m = 3/2
and
m² + n = 0
(3/2)² = -n
9/4 = -n
n = -9/4
so our transformed expression looks like
(x - 3/2)² - 9/4
5.7 x 10^8 is known as the scientific notation.Scientific notation is one way of showing a long number to a shorter one given with the followin choices, let's find out which one of those are correct:
=> 5.7 x 10^ 8
=> 5.7 x (10 x 10 x 10 x 10 x 10 x 10 x 10 x 10)
=> 5.7 * 100 000 000
=> 570 0000 000 or 5 hundred seventy milionThe correct answer is letter C. 570 000 000
Answer:
24.8 degrees
Step-by-step explanation:
input the side lengths into the law of cosines, and subtract from 180 to get your final answer. hope this helped, and good luck :)
If each years cumulate an increase of 1100 dollars, then the cost after 22 years will be the base cost (27000) plus 22 increases (22*1100), for a total of
This relates to arithmetic series as follows: a series is arithmetic if, given a starting element 
, every next element is given by adding a fixed number, called common difference, 
. So, the first terms are
So, you can see that the element 
is obtained by adding n times the common ratio to the starting element.
Since the element 
represents the cost after n years, we are interested in the element
As we had already calculated.
For Ramona to know how much she expects to pay for the carpet she is ordering, she first needs to know how many square foot the the room has.
In getting the area of the room, you multiply one side with the other,
in equation,
19.5 ft x 41.6 ft = 811.2 sq ft.
Then if the carpet costs $9.50 per sq ft, you simply multiply it the area of the room
in equation,
$9.50/ sq ft. x 811.2 sq ft, cancelling out the unit of sq ft
the answer would be $7,706.4
