Trace of a matrix is defined only for a square matrix . It is the sum of the elements on the main diagonal, from the upper left to the lower right, of the matrix
1)
Area of bigger rectangle
A = (x+1)(x+1) = x^2 + 2x + 1
2)
Area of smaller rectangle
A = 5(x - 7) = 5x - 35
3)
The difference:
(x^2 + 2x + 1) - (5x - 35)
= x^2 + 2x + 1 - 5x +35
= x^2 - 3x + 36
area of the shaded region = x^2 - 3x + 36
Answer:
Problems left to complete = 9
Step-by-step explanation:
Given that:
Number of problems on the test = 45
Percent of completed problems = 80%
Number of completed problems = 
Number of completed problems = 0.8 * 45 = 36
Problems left to complete = 45 - 36
Problems left = 9
Hence,
Problems left to complete = 9
Answer:
A. 45
B. 60
C. 65
D. 121
2. 108
3.
4. 8
5. 104
6. 132
7. 24
8. 38
9. 65
Step-by-step explanation:
Area of rectangles is L*W while right triangle is lw/2
Answer:
3.5
Step-by-step explanation:
From the graph,
x1 = 0
x2 = 4
y1 = 0
y2 = 14
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope
= ( 14 - 0 ) / ( 4 - 0 )
= 14 / 4
= 7 / 2
= 3.5