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Andre45 [30]
3 years ago
5

Rectangle PQRS with coordinates P(5,5) Q(2,3) R(10,5) and S(2,-3) The rectangle will be translated 8 units down and 5 units to t

he left. What are the coordinates of the image?
Mathematics
2 answers:
KiRa [710]3 years ago
5 0

Answer:

P(-3,0) Q(-3,-5) R(5,-3) S(-3,-11)

Step-by-step explanation:

Remember that 8 units down is -8 to the Y coordinate of each point

And 5 units to the left is -5 units

(5-8, 5-5)=P(-3,0)

(10-5,5-8)= R=(5, -3)

(2-5,3-8)=Q=(-3, -5)

(2-5,-3-8)=S(-3,-11)

jonny [76]3 years ago
3 0
The correct answer is P
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A= [2, 3; 2, 1], B=[3; 5]. Find AB & BA if possible
oksano4ka [1.4K]

Answer:

The value of AB is \left[\begin{array}{ccc}21\\11\end{array}\right] and it's not possible to multiply BA.

Step-by-step explanation:

Consider the provided matrices.

A=\left[\begin{array}{ccc}2&3\\2&1\end{array}\right], B=\left[\begin{array}{ccc}3\\5\end{array}\right]

Two matrices can be multiplied if and only if first matrix has an order m × n and second matrix has an order n × v.

Multiply AB

Matrix A has order 2 × 2  and matrix B has order 2 × 1. So according to rule we can multiply both the matrix as shown:

AB=\left[\begin{array}{ccc}2&3\\2&1\end{array}\right] \left[\begin{array}{ccc}3\\5\end{array}\right]

AB=\left[\begin{array}{ccc}2\times 3+3\times 5\\2\times 3+1\times 5\end{array}\right]

AB=\left[\begin{array}{ccc}6+15\\6+5\end{array}\right]

AB=\left[\begin{array}{ccc}21\\11\end{array}\right]

Hence, the value of AB is \left[\begin{array}{ccc}21\\11\end{array}\right]

Now calculate the value of BA as shown:

Multiply BA

Matrix B has order 2 × 1  and matrix A has order 2 × 2. So according to rule we cannot multiply both the matrix.

We can multiply two matrix if first matrix has an order m × n and second matrix has an order n × v.

That means number of column of first matrix should be equal to the number of rows of second matrix.

Hence, it's not possible to multiply BA.

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