For the first problem, when you see expression like that it just means to write it twice, then FOIL it.
(2x-6) (2x-6)
If you don't know what FOIL is let me know and I can further explain it!
This also applies for the second question!
All this is, is plugging in numbers. Then taking the square root of it. The first one would be the square root of 6 squared - 4(5)(-3). That would simplify to the square root of 36+60. Then add the numbers to get the square root of 96. The square root of 96 is about 9.798. I hope that helped. If you still need help with the second one or with the rest of the formula (if there is one) just ask!
Answer:
Part A: The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' is 1/4
Part B:
P''(-1, 0)
Q''(0, -1)
R''(2, -1)
Part C:
The two Triangles PQR and P''Q''R'' are not congruent.
Answer: 13.6 units
Step-by-step explanation:
Given the following :
Dilation rule : DQ, 0.15
The dilation factor is 0.15
Distance between Q and A' = 2.4
To calculate the distance 'x' between A and A'
The entire length of the side is calculated, that is, A to Q(center of dilation)
Length of A to Q = (Distance A' to Q) / dilation factor
Length of A to Q = 2.4 / 0.15 = 16
Distance (A to A') = x ;
Length AQ - length A'Q
16 - 2.4 = 13.6 units
