First consider (x+c)^2 where c is just a random constant. if we expand this by foil (which is distributive property twice), we get x^2 + 2cx+ c^2. we want to find c^2 and to do that, we can first find c. we can find c by looking at the 2cx term. this term should match with 12x, so therefore 2c = 12 so c = 6. this also implies that c^2 = 36.
note that for this problem i was working backwards which is a very powerful problem solving tool: start with what you want to attain, and then see how you can go from where you are now to get to your destination.
let me know if you have any questions!!!
Answer:
a) line segment
b) point
c) line
Step-by-step explanation:
A line segment is made up of 2 points.
No matter where the lines intersect (doesn't have to be perpendicular), it forms a point.
A line is straight, hence the 3 collinear points.
Answer:
100
Step-by-step explanation:
Because it would be the most common it would make no sense if any of the other options would represent the value of 2 and 3 if it had it would go over the amount of 200. But if they were represented by numbers 3 would be 60 and 2 would be 40 multiplying by two and ofc 5 would be 100.
Answer:
7.2
Step-by-step explanation:
To reach point D from point C, you need to add 4 to the x-value of point C and take away 6 from the y-value. These numbers are the sides of the hypothetical triangle.
The Pythagorean Theorem states that 
. If we plug the side lengths in for a and b, we get 
. This can be simplified to 
, or 
. If we root both sides, we find that c is equal to 
, which is slightly more than 7, at around 7.2.
Answer:
D) 3/15
Step-by-step explanation:
(-2/5) - (-9/15) = (-6/15) - (-9/15) = (-6/15) + (9/15) = 3/15
