The point (6, 6) is the mid-point of A and B. Then the coordinate of the point B is (7, 5).
<h3>What is coordinate geometry?</h3>Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
Point A (5, 7) is reflected over the point (6, 6) and its image is point B. Then the point (6, 6) is the mid-point of the A and B. Then the coordinate of the point B will be
More about the coordinate geometry link is given below.
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The expression is given to be:
Recall the multiplication rule of exponent given to be:
Therefore, we can simplify the numerator to be:
Hence, the expression becomes:
Recall the division rule of exponent given to be:
Therefore, the expression becomes:
Evaluating the answer, we have:
Therefore, the answer is:
By def. of the derivative, we have for y = ln(x),
Substitute y = h/x, so that as h approaches 0, so does y. We then rewrite the limit as
Recall that the constant e is defined by the limit,
Then in our limit, we end up with
In Mathematica, use
D[Log[x], x]
Answer:
1. quadratic
2. quadratic
3. linear
4. quadratic
Step-by-step explanation:
In the picture attached, the scatter plots are shown.
The differences between these correlations are:
In plot 1, 2 and 4, we can see that y-values decrease at first and then they increase. This is a feature of quadratic correlation
In plot 3, we can see that y-values increase uniformly as x-values increase.This is a feature of linear correlation
