Dane used a ruler and a protractor to draw a rhombus with a side that is 4 cm in length and an angle that measures 110°. Choose
the angle measure that is missing from the diagram
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:
see explanation
Step-by-step explanation:
Given that z² is directly proportional to w then the equation relating them is
z² = kw ← k is the constant of proportion
To find k use the condition z = 4 when w = 8, thus
4² = 8k
16 = 8k ( divide both sides by 8 )
2 = k
(i)
z² = 2w ← equation of proportion
(ii)
When w = 18, then
z² = 2 × 18 = 36 ( take the square root of both sides )
z = = 6
(iii)
When z = 5 , then
5² = 2w
25 = 2w ( divide both sides by 2 )
w = 12.5