Answer:
C = 1.
Step-by-step explanation:
x^2 - 2x = (x - 1)^2 - 1 so:
x^2 - 2x + C = (x - 1)^2 - 1 + C
So to get a perfect square C must be 1 ( as -1 + 1 = 0):-
(x - 1)^2 - 1 + 1 = (x - 1)^2
Checking this:
x^2 - 2x + 1
= (x - 1)(x - 1) which is a perfect square./
Answer:
2 * 2 * 3 * 3
Step-by-step explanation:
We are to write the value of 36 as a product of of prime factor
Factorizing 36;
2| 36
2| 18
3| 9
3| 3
| 1
Multiplying out all the factors;
36 = 2 * 2 * 3 * 3
Hence the prime factors of 36 are 2 * 2 * 3 * 3
5x - 3y = 15
5x - <u>5x</u> -3y = <u>- 5x</u> + 15
<u>-3y</u> = <u>-5x</u> + 15
3y = 5x - 15
divide all of them by 3...
y = 5/3 - 5
Answer:
Step-by-step explanation:
To answer this question you need to get the same denominator (bottom number of a fraction ) on both values
Because 7 is a factor of 35, you can multiply the whole fraction by 5, (so that the first fraction has a denominator of 35 which is the same as the other value)
×5
then you add them up but remember if the denominator is the same you do <u>not </u> add them.
Hope the answer is right, Ask if unsure :)
Answer:
87 total hours.
Step-by-step explanation:
The equation 456/12 Gives you how many hours Sienna worked. (38)
642-480 will give you how much money Serena made off of Just OT (162)
162/18 = 9 (9 is how many overtime hours Serena worked.)
Serena worked her normal 40 hours, then worked over time, so you have to add 40 to the equation.
9+40+38 = 87
Serena and Sienna worked 87 total hours.
