(6b + 42)(b - 3)
To check the answer, use the method FOIL.
Answer:
Correct answer is:
The transformation was a 180° rotation about the origin.
Step-by-step explanation:
Given the triangle RST formed by points:

is transformed using (x, y) → (–x, –y) such that coordinates of triangle R'S'T' :

Please refer to the attached image for the given dimensions and coordinates.
It is clearly visible that:
The given triangle RST has coordinates in first quadrant.
and the resulting coordinates R'S'T' are in third quadrant.
The rotation of angle from 1st quadrant to 2nd quadrant is
and
The rotation of angle from 2nd quadrant to 3rd quadrant is
.
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<em> total rotation is </em>
.
For x you insert zero, and
0 = 2 - 8 * 0
0 = 2
Answer:

Step-by-step explanation:
Given

(a): Write as additive inverse.
An additive inverse is of the form a + (-b)
In this case:


So, the expression can be represented as:

(b): Number line representation
When the expression in (a) is solved.
The result is:

This means that the number line must accommodate 7 and -1.
Having said that, options (b) and (c) are out because their range is 0 to 15 and this excludes -1.
Option (d) is a wrong representation of 
Hence, (a) is correct