The ratio of the results of the local football team games won and lost is: 24:6 Simplify this ratio.
1 answer:
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Answer:
a = 3, b = 0, c = 0, d = -2
Step-by-step explanation:
<em>To find the reflection Multiply the matrices</em>
∵ The dimension of the first matrix is 2 × 2
∵ The dimension of the second matrix is 2 × 3
<em>1. Multiply the first row of the 1st matrix by each column in the second matrix add the products of each column to get the first row in the 3rd matrix.</em>
2. Multiply the second row of the 1st matrix by each column in the second matrix add the products of each column to get the second row of the 3rd matrix
×
=
Compare the elements in the answer with the third matrix to find the values of a, b, c, and d
∴ a = 3
∴ b = 0
∴ c = 0
∴ d = -2
We are said that a rectangle has been transformed into the one indicated in Figure 1 according to this rule:
We know that the center of rotation is origin and two rules are applied to rotate a point 90 degrees, namely:
1. Clockwise
In this case, the rule to transform a point is:
This rule was already applied to form the image, so all we need to do is to reverse the answer using this formula, therefore:
2. Counterclockwise
Applying the same previous concept but with the new rules for this case:
By reversing the answer, we have:
We know that the center of rotation is origin and two rules are applied to rotate a point 90 degrees, namely:
1. Clockwise
In this case, the rule to transform a point is:
This rule was already applied to form the image, so all we need to do is to reverse the answer using this formula, therefore:
2. Counterclockwise
Applying the same previous concept but with the new rules for this case:
By reversing the answer, we have: