Choose the equation of a circle with radius 6 and center (2, -3).
1 answer:
Answer:
Work Shown:
Note that (h,k) = (2,-3) is the center and r = 6 is the radius. The last line is not expanded out using the FOIL rule because its common practice to leave it in form. This form allows the reader to quickly determine the center and radius (rather than have to do a lot of algebraic steps before hand).
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Justification:
Given:
Split the middle term;
Factor:
QUESTION 3a
The given expression for the area of the rectangle is .
This is equal to the indicated area which is
This implies that
This implies that, the dimensions of the rectangle are equal;
Using the square root method, we obtain
We discard the negative value.
The side length of this rectangle is
QUESTION 3b
The given expression for the area of the rectangle is .
This is equal to the indicated area which is
This implies that
This implies that, the dimensions of the rectangle are equal;
Using the square root method, we obtain
We discard the negative value.
The side length of this rectangle is
QUESTION 3c
The given expression for the area of the rectangle is .
This is equal to the indicated area which is
This implies that
Applying the laws of indices gives;
This implies that;
The side length of this rectangle is
Dont forget that the square is also a rectangle.