The password for a new online gaming site must contain three letters followed by four digits . The digits can be repeated by but
1 answer:
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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 .
<em></em><em> total rotation is </em>
.
We are given:
Our goal in solving for any variable, in this case is x, we need to isolate x on one side of the variable. Let's start by subtracting 7x from both sides, which will cancel the +7x on the right side. We are then left with:
Now, we want to move that +10 to the other side so our x is all by itself. Let's subtract 10 from both sides, which will cancel the +10 on the right leaving us with:
Since we cannot have a coefficient when solving for x, we need to divide both sides by -3.
When we divide, our answer is: