For part A: two transformations will be used. First we will translate ABCD down 3 units: or the notation version for all (x,y) → (x, y - 3) so our new coordinates of ABCD will be:
A(-4,1)
B(-2,-1)
C(-2,-4)
D(-4,-2)
The second transformation will be to reflect across the 'y' axis. Or, the specific notation would be: for all (x,y) → (-x, y) New coordinates for A'B'C'D'
A'(4,1)
B'(2,-1)
C'(2,-4)
D'(4,-2)
Part B: The two figures are congruent.. We can see this a couple of different ways.
- first after performing the two transformations above, you will see that the original figure perfectly fits on top of the image.. exactly the same shape and size.
- alternatively, you can see that the original and image are both parallelograms with the same dimensions.
ANSWER
The correct answer is option B
EXPLANATION
The equations are
and
When we multiply the second equation by 
, we obtain;
When we combine this new equation with equation (1).
We can see that 
has been eliminated from the equation.
We can then, solve for 
and then substitute the result in to any of the equations to find .
Hence the correct answer is option B
Answer:
A and c
Step-by-step explanation:
I took the test
4(m+3+5m) 4(m+3+5m)
4(6m+3) 4(6m+3)
4x6m+12 or 4x3(2m+1)
= 24m+12 = 12(2m + 1 )
The length of the enlarged copy in feet is 2.7 feet.
<u>Step-by-step explanation</u>:
- The painting is 4 inches wide and 2 feet long.
- convert inches into feet (1 inch=0.083 foot). Therefore, 4 inches=0.3 feet
- The enlarged copy is 1 foot wide and 'x' feet long.
The width is enlarged from 0.3 to 1 which is increased by 0.7 feet.
∴ The length should also be increased by 0.7 feet = 2+0.7 = 2.7 feet
