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Answer:
(d) 80 square units
Step-by-step explanation:
As with many composite area problems, this can be worked any of several ways. The attached shows trapezoid ABCE, from which triangle CDE can be removed to get the desired area.
The relevant formulas are ...
A = (1/2)(b1 +b2)h . . . . . . area of a trapezoid
A= (1/2)bh . . . . . . . . . . . . area of a triangle
__
Here, the trapezoid has bases 12 and 2, and height 12, so its area is ...
A = (1/2)(12 +2)(12) = 84 . . . . square units
The triangle has a base of 4 and a height of 2, so its area is ...
A = (1/2)(4)(2) = 4 . . . . square units
Then the area of the desired figure is ...
84 - 4 = 80 . . . . square units
Answer:
1. The matrix A isn't the inverse of matrix B.
2. |B|=12, |A|=12
Step-by-step explanation:
1. We want to know if matrix A is the inverse of matrix B, this means that if you do the product between B and A you have to obtain the identity matrix.
We have:
and
A and B are 2×2 matrices (2 rows and 2 columns), if you multiply them you have to obtain a 2×2 matrix.
Then if A is the inverse of B:
Where,
Observation:
If you have two matrices:
Now:
Then, the matrix A isn't the inverse of matrix B.
2. If you have a matrix A:
The determinant of the matrix is:
Then the determinant of B is:
The determinant of A is: