The point B(1, 1) is rotated 90° counterclockwise around the origin. What are the co
1 answer:
Given that the point B is (1,1) is rotate 90° counterclockwise around the origin.
We need to determine the coordinates of the resulting point B'.
<u>Coordinates of the point B':</u>
The general rule to rotate the point 90° counterclockwise around the origin is given by
The new coordinate can be determined by interchanging the coordinates of x and y and changing the sign of y.
Now, we shall determine the coordinates of the point B' by substituting (1,1) in the general rule.
Thus, we have;
Coordinates of B' =
Thus, the coordinates of the resulting point B' is (-1,1)
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Answer:
Step-by-step explanation:
Recall that an expression that can be factored as (U+V)(U-V) using distributive property for multiplication of binomials, should render: (the factorization given above is that of a difference of squares. Then, the idea is to write the original expression :
as a difference of perfect squares. Let's examine each term and its numerical and variable form to find if they can be written as perfect squares:
a) the term therefore, if we assign the letter U to
, the first term becomes:
b) the term therefore, if we assign the letter V to
, this second term becomes:
With the above identification, our expression can now be factored as a difference of squares: