To put an equation into (x+c)^2, we need to see if the trinomial is a perfect square.
General form of a trinomial: ax^2+bx+c
If c is a perfect square, for example (1)^2=1, 2^2=4, that's a good indicator that it's a perfect square trinomial.
Here, it is, because 1 is a perfect square.
To ensure that it's a perfect square trinomial, let's look at b, which in this case is 2.
It has to be double what c is.
2 is the double of 1, therefore this is a perfect square trinomial.
Knowing this, we can easily put it into the form (x+c)^2.
And the answer is: (x+1)^2.
To do it the long way:
x^2+2x+1
Find 2 numbers that add to 2 and multiply to 1.
They are both 1.
x^2+x+x+1
x(x+1)+1(x+1)
Gather like terms
(x+1)(x+1)
or (x+1)^2.
Answer:
The slope is 1/3
Step-by-step explanation:
Take 2 points on the line, lets use (0,50) and (30,60)
x1 y1 x2 y2
Use slope formula:
y2 - y1 / x2 - x1
60 - 50 / 30 - 0
10 / 30
which can be simplified to:
1/3
Answer:
x = 1/3
Step-by-step explanation:
Perform the indicated multiplication:
Clear out the fractions. The LCD here is 12, so multiply both sides by 12, obtaining:
3(3x - 1) = 24x - 8, or
9x - 3 = 24x - 8
Combining like terms, we get 5 = 15x, so that x = 1/3.
Answer:
15 people are able to be at the charity gala because 77:55 divided by 5:17.
Answer:
MMVI=2006 M MEANS 1000 AND ONE MORE M MEANS 1000 TOTAL 2000 THEN VI IS THE NUMBER SIX 6