Answer:
Factoring the trinomial:
we get the factors 
Step-by-step explanation:
We need to factor the trinomial: 
We can factor the trinomial by breaking the middle term i.e 13x
Such that adding or subtracting gets the both terms we get 13x and multiplying both terms we get 12x^2
We can break 13x as: 12x and x
Adding them we get 13x and multiplying them we get 12x^2
So,

So, Factoring the trinomial:
we get the factors 
Answer:
1/12
Step-by-step explanation:
There are 4 clothing choices and 3 colors.
4x3=12
This means you have a 1 in 12 chance of getting an orange hat.
This presupposes that there are EQUAL numbers of pieces and colors. (111 of each).
Answer:
y = -1
Step-by-step explanation:
First, you find the slope by using the slope formula and get 0. Now, choose one coordinate and plug it into the equation y = mx + b along with the slope. If you chose the first coordinate, the equation would be -1 = (0)(5) + b. After solving for b (the y-intercept) you would get -1. Lastly, you rewrite the equation as y = -1.
This is known as Einstein's proof, not because he was the first to come up with it, but because he came up with it as a 15 year old boy.
Here the problem is justification step 2. The written equation
BC ÷ DC = BC ÷ AC
is incorrect, and wouldn't get us our statement 2, which is correct.
For similar triangles we have to carefully pair the corresponding parts to get our ratios right:
ABC ~ BDC means AB:BD = BC:DC = AC:BC so BC/DC=AC/BC.
Justification 2 has the final division upside down.
Answer:
9^3 times 7^2
Step-by-step explanation: