It’s either C or B
Explanation:
Since the whole figure including all the points is enlarged at the same time, the dilated figure will still have the same slope and that includes the fact that point T is still in line Y'Z'. The slope or shape does not change, only the size alters.The center of dilation is still at Point T in this case.
Answer:
See below.
Step-by-step explanation:
I will assume that 3n is the last term.
First let n = k, then:
Sum ( k terms) = 7k^2 + 3k
Now, the sum of k+1 terms = 7k^2 + 3k + (k+1) th term
= 7k^2 + 3k + 14(k + 1) - 4
= 7k^2 + 17k + 10
Now 7(k + 1)^2 = 7k^2 +14 k + 7 so
7k^2 + 17k + 10
= 7(k + 1)^2 + 3k + 3
= 7(k + 1)^2 + 3(k + 1)
Which is the formula for the Sum of k terms with the k replaced by k + 1.
Therefore we can say if the sum formula is true for k terms then it is also true for (k + 1) terms.
But the formula is true for 1 term because 7(1)^2 + 3(1) = 10 .
So it must also be true for all subsequent( 2,3 etc) terms.
This completes the proof.
There are couple ways to go about this. If the polynomial is odd the graph with be symmetric to the origin, and if the polynomial even the graph with be symmetric to the y-axis. An odd degree polynomial end points with go in opposite directions, even degree polynomial end points will go in the same direction. A positive even degree poly will open up(smile), a negative even degree poly will open down (frowny face). I can go on if needed, I hope this helps :)
