C. The answer is C because the total amount of students is 14, and there are 4 boys, which makes the ratio 4 boys to 14 students in total. 4 and 14 are both divisable by 2, so divide 4 to get 2 and divide 14 to get 7. This leaves you with 2 and 7. The ratio would be 2 boys to 7 total students. Hope this helped
Well <span>(x, y)→(−x, y) </span>means it's reflected off the y-axis(You can experiment this with random points on a graph)
(x, y)→(x−1, y+2) means that every point is moved to the left by 1 and up by 2, in other words, the triangle is translated left 1 up 2.
Since the only thing that effects congruency is dilation(rotation, translation, and reflection only move the shape, not change it), The new triangle should equal the old one.
Thus we would get the first choice
$1.40+$1.60=$3
$180-$3=$177
Her mother added $177 to her piggy bank
Answer:
a) See proof below
b)The result does not violate uniqueness of solutions.
Step-by-step explanation:
a)
Suppose 
is a solution of
then
If 
is a solution of
then
To show that 
is a solution of equation (2) we have to show that
But
which is what we wanted to show.
b)
The results of the above problem does not violate uniqueness of solutions, because the solution is unique for each specific given initial condition, but there are no initial conditions stated.
