Answer:
bottom right corner
Step-by-step explanation:
Hello!
The parent function, y = ln(x), has a vertical and horizontal translation.
y = ln(x - h) + k | In this equation, h is the vertical shift, and k is the horizontal shift.
If ln(x - k), then the graph is translated right k units.
If ln(x + k), then the graph is translated left k units.
If ln(x) + h, then the graph is translated up h units.
If ln(x) - h, then the graph is translated down h units.
Therefore, the graph of y = ln(x - 7) + 3 is translated 3 units up and 7 units to the right, which is choice D.
Answer:
452.39 mm^2
Step-by-step explanation:
Area of a circle =
r^2
Here r = 12mm
Therefore, Area=
x 12^2 = 452.389342...
Round to required degree of accuracy = 452.39mm^2
Hope this helps
Answer:
r=1
Step-by-step explanation:
First we need to know the length of each side of the triangle, so we use the formula of the vector modulus:

By doing so, we find:

With this we know that the triangle is not right, but, we assume the longest side as the hypotenuse of the problem.
As we have two equal sides, we know that the line between point |AB| and the center of the hypotenuse is perpendicular, therefore, we can calculate it using Pythagoras theorem:

C. It is always a rational number. You cannot determine its sign without knowing the values of a and b.