What is the approximate circumference of a circle that has a radius of 6 units? Round your answer to the nearest tenth.
1 answer:
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The <em>matrix operation</em> is the <em>addition subtraction </em>and <em>multiplication </em>involving matrices. The coordinates of the <em>image </em>can be represented as a matrix obtained from the coordinates of the <em>preimage </em>through matrix operations
The best correct option is<u> option D)</u>,<em> (the y-coordinate for the point (8, -7) is to be replaced with a 7 to give (7, -7) as follows</em>:
The reason the above matrix value for the matrix operation are correct are as follows:
Known parameters:
From the diagram, we have that the <em>coordinates</em> of the vertices of the preimage are;
(2, -5), (3, -7), (9, -3), and (7, -7)
The <em>coordinates </em>of the vertices of the image are;
(2, 5), (3, 7), (9, 3), and (7, 7)
Required:
The matrix operation for the transformation of the preimage points to the image points
Solution:
The transformation from the coordinates of the vertices of primage to the vertices of image involves the change in the sign from negative to positive, of the y-values of the image, which can be obtained by <em>multiplying by</em> (-1)
Therefore, the required matrix operation is presented as follows:
Therefore, the <em>best correct</em> option is option D)
Learn more about matrix operations here:
Answer:
Step-by-step explanation:
= x - 5 ( x ≥ 3 )
( )² = ( x - 5 )²
x - 3 = x² - 10x + 25
x² - 11x + 28 = 0
(x - 4)(x - 7) = 0
= 7
= 4
Check the answer:
1). x = 7
= 7 - 2
√4 = 2
2 = 2
2). x = 4
= 4 - 5
1 = - 1 (False statement) ⇒ x = 4 is an extraneous solution.
