Observe what happens to the basis components under the transformation
:
So we can represent
with the matrix
To check this answer: If we take an arbitrary polynomial
, i.e. the vector
corresponding to the polynomial
, we get
Substituting
into the rule above, we get
as expected.
1. 29.16
2. 3.5
3. a=0.32
4. 2/15
5. d= 23.33333333 ( am assuming this is a repeating decimal)
Answer:
28 units^2
Step-by-step explanation:
1. First, let's divide this figure into two shapes: a square and a trapezoid. (Look at the image below explanation for division).
2. Next, we should know the area formulas of the square and trapezoid.
- Square:
, where s = side 
, where a and b = top and bottom and h = height
3. Solving Area of Square and Trapezoid
. Area of square is 16
. Area of trapezoid is 12.- 16 + 12 = 28
Therefore, the area of the figure is 28 units^2.
The 2 equations are
-2x + y = -17 ---1)
3x + y = 23 ---2)
we need to have the same coefficient for one of the variables.
Already y variable has the coefficient of 1 for both equations so we can use the equations as it is.
2) - 1) subtract 1) from 2)
3x-(-2x) + y -y = 23-(-17)
5x = 40
x = 8
substituting x = 8 in the 2nd equation
3*8 + y = 23
24 + y = 23
y = -1
solution - (8,-1)
Answer:$570
Step-by-step explanation:If it is 900 for 2 walls, and they need 6 walls, then multiply 900 by 3. They would use 2700 bricks for 6 walls. Multiply 2700 by 0.10 to get the price for all the bricks, 270 dollars. If labor to build each wall costs 50 dollars then multiply that by 6 and add it to the 270 dollars. It costs 570 dollars to build 6 walls
