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 answer is A. 14 and 15
Answer:
Step-by-step explanation:
The two ringtones will cost her a total of 
and is a fixed amount. The relationship between the cost and number of songs only is 
and therefore the answer is 
. You can also directly find the answer by finding the y-intercept (in this case 
), as no other answer choices include the term , so A must be the correct answer.
Answer:
B. Since Ax-b is consistent, its solution set is obtained by translating the solution set of Ax=0. So the solution set of Ax = b is a single vector if and only if the solution set of Ax= 0 is a single vector, and that happens if and only if Ax 0 has only the trivial solution.
Step-by-step explanation:
the answer to the question is answer B. and here is the explanation below
let us imagine that the equation ax = b has a solution
now our goal will be to show that the solution of ax =b when ax = 0 has only trivial solution.
ax = 0 is homogenous
if this equation was consistent for b, we define
ax = b to be a set of vector that has the form
w = m + gh(h is a subscript)
gh is a solution of ax = 0
from what we have above, ax=b is in the form ofw= m+gh
with
m = solution of ax=b
gh = soulution of ax=0
ax = 0 has only trivial solution
gh = 0
with gh = 0
ax=b is w=m
so ax = b is unique.
