Answer:
x = 16
y = -24
Step-by-step explanation:
Recall that the addition of matrices is done when matrices are of the same dimension. In this case, you are in fact adding matrices of the same dimension (dimension 1x2). Recall as well that in the addition of matrices, the elements of each matrix combine only with the element located in the exact same position in the other matrix.
So for this case the first element of the first matrix "16" combines with the first element of the second matrix "0" resulting in an element of value16 + 0 =16 in the new matrix.
Equally, the second element of the first matrix "-24" combines with the second element of the second matrix, resulting in : -24 + 0 = -24.
Therefore, the matrix resultant from this addition is: [16 -24] (same form of the first matrix, which indicates that adding a zero matrix to an existing matrix will not change the first matrix.
Full rotation or full turn
Answer: 3r + 2b = 24
r + 3b = 16
Step-by-step explanation:
Let the red blocks be represented by r
Let blue blocks be represented by b
Since 3 red blocks and 2 blue blocks weigh 24 ounces. This will be:
3r + 2b = 24
1 red block and 3 blue blocks weigh 16 ounces. This will be:
r + 3b = 16
Therefore, the equation will be:
3r + 2b = 24
r + 3b = 16
