Answer: A
Step-by-step explanation:
just took it
Answer:
-4
Step-by-step explanation:
The common difference is found by subtracting the second term from a previous term
So...
3-7 would give the common difference = -4
-1-3 would give the common difference= -4
-5-1 would give the common difference= -4
Answer:
B'(16,14)
Step-by-step explanation:
First find the coordinates of the vertex B. The center of the square M is the midpoint of the diagonal AC. Since A(2,7) and C(8,1), the center has coordinates
![M\left(\dfrac{2+8}{2},\dfrac{7+1}{2}\right)=M(5,4).](https://tex.z-dn.net/?f=M%5Cleft%28%5Cdfrac%7B2%2B8%7D%7B2%7D%2C%5Cdfrac%7B7%2B1%7D%7B2%7D%5Cright%29%3DM%285%2C4%29.)
Point M is also the midpoint of the diagonal BD. Let B has coordinates (x,y), then
![\dfrac{x+2}{2}=5\Rightarrow x=8,\\ \\\dfrac{y+1}{2}=4\Rightarrow y=7.](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%2B2%7D%7B2%7D%3D5%5CRightarrow%20x%3D8%2C%5C%5C%20%5C%5C%5Cdfrac%7By%2B1%7D%7B2%7D%3D4%5CRightarrow%20y%3D7.)
Hence, B(8,7).
Now, the dilation by a scale factor 2 with the center of dilation at the origin has the rule
(x,y)→(2x,2y).
Thus,
B(8,7)→B'(16,14).
$20
Step-by-step explanation:
I'm high a.f. but I'm certain it's $20