Answer:
The answer is 12
Step-by-step explanation:
I just took the quiz
8x + y = 32
8(-2) + y = 32
-16 + y = 32
y = 32 + 16
y = 48
A horizontal translation is expressed by transforming

If
is positive, the function is translated to the left. If
is negative, the function is translated to the right.
So, a 3-units left shift is given by
. So you have

Answer: 
Step-by-step explanation:
Since you did not attach the diagram and I don't know the dimensions of the collage, I will give you a general explanation of the procedure you need to use in order to solve the exercise:
1. You need to use the formula for calculate the area of a rectangle:

Where "l" is the length and "w" is the width.
2. Using the formula, you must calculate the area of an small picture.
You know that its length is 4.5 inches and its width is 3.5 inches. Therefore, its area is:

3. Calculate the area of the collage using the formula:

4. Finally, divide the area of the collage by the area of an small picture in order to find the number of small pictures that will fit within the collage:

Answer:
(c) BC ≅ BC, reflexive property
Step-by-step explanation:
The conclusion of this proof derives from CPCTC and the SAS congruence postulate. In order for SAS to apply, corresponding sides and the angle between them must be shown to be congruent. The congruence statement ...
ΔABC ≅ ΔDCB
tells you these pairs of sides and angles are congruent:
- AB ≅ DC . . . . statement 2
- ∠ABC ≅ ∠DCB . . . . statement 4
- BC ≅ CB . . . . (missing statement 5)
- AC ≅ DB . . . . statement 7
That is, the statement needed to complete the proof is a statement that segment BC is congruent to itself. That congruence is a result of the reflexive property of congruence.