Answer:
AB : 
PT : 
Step-by-step explanation:
The line AB passes through A(-2,4) and B(-8,-6) points.
Therefore, the slope of the line AB will be 
(Answer)
Again line PT passes through P(3,-1) and T(8,-2) points.
Therefore, the slope of the line PT will be 
. (Answer)
Here we have applied the formula of slope of a straight line passing through the points 
and 
as given by 
.
Answer:
Once the rules of exponents are understood, you can begin solving more complicated expressions more easily. Recall that when you take a power to a power, you multiply the exponents, (xa)b= xa·b.
What happens when you raise an entire expression inside parentheses to a power? You can use the techniques you already know to simplify this expression.
(2a)4 = (2a)(2a)(2a)(2a) = (2 • 2 • 2 • 2)(a • a • a • a) = (24)(a4) = 16a4
Notice that the exponent is applied to each factor of 2a. So, we can eliminate the middle steps.
(2a)4 = (24)(a4), applying the 4 to each factor, 2 and a.
= 16a4
The product of two or more numbers raised to a power is equal to the product of each number raised to the same power.
To dilate means to make larger and when dilating a shape you make all sides go up by the same ratio not amount you don't just add the same number to each side. also I have to assume that the sides go in order for every answer. so to start you set up a ratio using the first side take the 16 from the instructions and put it over the first side in the first answer so 16/24 or 2/3 when reduced then take the second side from the instructions and first answer and set them up the same way 28/40 reduced to 7/10 now if these ratios were equal it would be the answer however because 7/10 doesn't equal 2/3 a is not the answer. do the same for all the answers and you will get c to be the answer
