The scale factor of the dilation from ABCD to A′B′C′D′ is 3.
Step-by-step explanation:
Step 1:
In the pre-image ABCD, the length of one of the sides is given as 14 units.
For the other shape A′B′C′D′, the same side as the previous shape is given as 8 units.
Step 2:
To determine the scale factor, we divide the measurement after scaling by the same measurement before scaling.
In this case, it is the given length of the sides CD and C′D′.
So the scale factor = 
So the shape ABCD is dilated by a scale factor of 
to produce the shape A′B′C′D′.
Im not entirely sure but i thinks its c
4. is A 15
5. is C 12
6. is B 4, 8, 12, 16
hope this helps :)
Answer:
Step-by-step explanation:
Answer:
Solution : (15, - 11)
Step-by-step explanation:
We want to solve this problem using a matrix, so it would be wise to apply Gaussian elimination. Doing so we can start by writing out the matrix of the coefficients, and the solutions ( - 5 and - 2 ) --- ( 1 )
Now let's begin by canceling the leading coefficient in each row, reaching row echelon form, as we desire --- ( 2 )
Row Echelon Form :
Step # 1 : Swap the first and second matrix rows,
Step # 2 : Cancel leading coefficient in row 2 through 
,
Now we can continue canceling the leading coefficient in each row, and finally reach the following matrix.
As you can see our solution is x = 15, y = - 11 or (15, - 11).
