Answer:

Step-by-step explanation:
Slope = change in y ÷ change in x
The line passes through (3,7) and (-1,4)
Slope =
= 
Answer:
10
Step-by-step explanation:
2x+5=25
25-5=20
20/2=10
Answer:
A. 
Step-by-step explanation:
We have that, ΔABC is transformed to get ΔA''B''C''.
We see that the following transformations are applied:
1. Reflection across x-axis i.e. flipped across x-axis.
Now, ΔABC is reflected across x-axis along the line AC to get ΔA'B'C'.
2. Translated 2 units down i.e. shifted 2 units down and and then translated 6 units to the left i.e. shifted 6 units to the left.
So, ΔA'B'C' is translated 2 units downwards and 6 units to the left to get ΔA''B''C''.
Hence, the sequence of transformations is Reflection across x-axis and then Translation of 2 units down and 6 units left.
The length of the tangent from point D to point B can be calculated by adding the length of BC to the length of BD.
We are given that:
BC = 2 units
CD = 2 units
Therefore:
BD = BC + CD
BD = 2 + 2
BD = 4 units