Answer:
x=5
Step-by-step explanation:
First, let's understand logarithms.
When there is no base given, like in this problem's right side of the equation, the base is automatically 10.
So, let's re-write that.
Now, let's test a few of the numbers out. For brevity, I already know it's 3. Let's show you why.
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Explanation:
The scale factor is 2, which means we double each coordinate of each point. The general rule is with k = 2. So we can say the more specific dilation rule is
Something like W(-2,2) moves to W ' (-4, 4) after multiplying each coordinate by 2. Do the same for the other points as well.
The given preimage points
will dilate to the corresponding image points
as shown below. This causes the image to be larger compared to the preimage (since the scale factor is larger than 1). Any given point is twice as far from the origin as compared to before, which in turn means the distance between any two points is twice as much.
