This is the answer for both number 9 and number 11.
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Topic 4 Pythagorean Theorem
2 answers:
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Answer:
See picture and explanation below.
Step-by-step explanation:
With this information, the matrix A that you can find is the transformation matrix of T. The matrix A is useful because T(x)=Av for all v in the domain of T.
A is defined as denotes the vector of coordinates of
respect to the basis
(we can apply this definition because
forms a basis for the domain of T).
The vector of coordinates can be computed in the following way: if then
.
Note that we have all the required information: then
hence
The matrix A is on the picture attached, with the multiplication A(1,1,1).
Finally, to obtain the output required at the end, use the properties of a linear transformation and the outputs given:
In this last case, we can either use the linearity of T or multiply by A.
Answer:
Fatima should shade 3 groups of 8 small squares or 24 small squares.
Step-by-step explanation:
Consider the provided information.
Fatima is shading this model to show 0.08 × 3. Shade the correct amount of boxes that will show the product.
Here 3 represents the number of groups and 8 represents the small square.
Multiplication is repeated addition.
We can rewrite the above multiplication as: 0.08 + 0.08 + 0.08
Therefore 0.08 × 3 = 0.24
Here 0.24 represents 24 small squares.
The required model is shown below:
Hence, Fatima should shade 3 groups of 8 small squares or 24 small squares.
