Answer:
scale = ½
center = (2, -5)
Step-by-step explanation:
The distance between A and B is 8
The distance between A' and B is 4
therefore the dilation scale factor is 4/8 = ½
As B and B' have the same x value, the center must also have the same x value of 2
The y value for A is -1
The y value for A' is -3
IF the y value for the center is Y
½(Y - (-1)) = (Y -(-3))
½(Y + 1) = (Y + 3)
½Y + ½ = Y + 3
-2.5 = ½Y
Y = -5
Answer:9z
Step-by-step explanation:10z-1z=9z
Answer: 7(n + 4)
Step-by-step explanation:
I'm not sure how to explain this one, but I'll try:
Seven times the sum of a number, n, and four
7 times n + 4 (sum means addition)
Answer:
![x](https://tex.z-dn.net/?f=x%3C-24)
Step-by-step explanation:
Let's solve the inequality
step-by-step:
Step 1. Add 12 to both sides of the inequality
![-\frac{1}{4} x-12+12>-6+12](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B4%7D%20x-12%2B12%3E-6%2B12)
![-\frac{1}{4} x>6](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B4%7D%20x%3E6)
Step 2. Multiply both sides by -4 and reverse the inequality (since you are multiplying by a negative quantity)
![-\frac{1}{4} x(-4)](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B4%7D%20x%28-4%29%3C6%28-4%29)
![x](https://tex.z-dn.net/?f=x%3C-24)
We can conclude that the correct answer is the third option.