12x - 6y + 9z - (-x - 3z + 6y) = 12x - 6y + 9z + x + 3z - 6y = 13x - 12y + 12z
Let’s start by considering any 2 points falling on the line, the intercepts are the ones which come to my mind. Thus, the line 2x+3 will originally intersect the x- axis at (−32,0) and the y- axis at (0,3).
So, the basic insight is that on rotating the origin, the axes rotate. But the intercepts (their lengths) don’t change. The axis that is being intercepted will change, not the distance of intercepting points from the origin until our line is itself rotated. (Keep scribbling)
For the first case, we rotate the axes clockwise by a right angle. Now notice that the negative x-axis replaces the positive y-axis. So, our line now intercepts the negative x- axis at a distance 3 from the origin. Similarly, the negative y- axis replaces the negative x- axis. So, our line intersects the negative y- axis at distance 1.5 .
Therefore, the new intercepts are X(−3,0) and Y(0,−1.5). We can hence produce the new equation for our line in the slope- intercept form as
y=−x2−1.5 .
Similarly, you can imagine the other cases as axes rotation/replacement.
For 180∘, the equation would be y=2x−3 .
For 270∘, the equation would be y=−x2+1.5 .
To arrange in descending order or greatest to least, we will first convert all the values in same unit.
Lets convert all the values in kg
1 lb = 0.45 kg
2 lb = 
kg
1 g = 0.001 kg
891 g = 
kg
1 T = 907.185 kg
0.02 T = 
kg
Hence all values in kg becomes = 0.90 kg , 0.891 kg , 1 kg , 18.14 kg
So in descending order the values become
0.02T, 1 kg, 2 lb, 891 g
1. In algebra, like terms are terms that have the same variables and powers.
2. What is combining like terms? We call terms "like terms" if they have the same variable part.
3. Polynomials form a system similar to the system of integers, in that polynomials are closed under the operations of addition, subtraction, and multiplication. CLOSURE: Polynomials will be closed under an operation if the operation produces another polynomial. ... Polynomials are closed under subtraction.
Hope this helps
