Answer:
30
Step-by-step explanation:
To find the determinant of a 3x3 matrix, you can use this method. (See picture.)
Start with the first number in the top row, and block off the row and column. A 2x2 matrix will be left. Find the determinant of this 2x2 matrix, and multiply it by the number in the top row.
Repeat for the other two numbers in the top row. Add the first result, subtract the second, and add the third.
det A = -2 [(3)(-5) − (a)(0)] − 2 [(0)(-5) − (a)(0)] + b [(0)(0) − (3)(0)]
det A = -2 (3)(-5) − 0 + 0
det A = 30
The Pythagorean theorem tells you that distance is
.. √((-24)^2 +32^2)) = √(576 +1024) = √1600 = 40
Supplementary angles are angles that together, for an angle of 180°. Straight lines are also 180°, so what you need to look for in this exercise are angles, next to eachother, on the same straight line.
those are:
1,2
1,4
2,3
5,6
5,8
6,7
7,8
3,4
so the right answers are option 1 and 2
Use PEMDAS for this problem.
1 x 1000= + 1000
3 x 10,000= 30,000
---------------------------
+ 31000
9000
---------------------------
+ 40000
800
--------------------------
+ 40800
50
------------------------------
+ 40850
2
------------------------------
Answer: 40,852
Hoped this helped.
~Bob Ross ®
