Answer:

Step-by-step explanation:
For two matrix P and Q, the product, say PQ is defined when:
The number of columns of P = The number of rows of Q
Since A is a 2×2 matrix and B is also a 2×2 matrix
Thus both AB and BA are possible.
So AB is:

BA is:

2y - x = 5
x^2 + y^2 - 25 = 0
x = 2y - 5
(2y-5)^2 + y^2 - 25 = 0
(2y-5)(2y-5) + y^2 - 25 = 0
4y^2 - 20y + 25 + y^2 - 25 = 0
5y^2 - 20y = 0
y = 0 , y = 4
x = 2y - 5 , when y = 0
x = - 5
x = 2y - 5 , when y = 4
x = 8 - 5
x = 3
Answer:
Figure A sides are 1/4 the size of Figure B
The top of Figure A = 4, the top of Figure B = 1.
Divide 1 by 4 to get the scale factor, which is 1/4 as a fraction or 0.25 as a decimal.
Step-by-step explanation:
<h3>The number of pears Amy has is 16.</h3>
Step-by-step explanation:
Let J represent the number of pears Josh has.
Let L represent the number of pears Leya has.
Let A represent the number of pears Amy has.
From the question given above,
Josh (J) = 4 × Leya (L)
J = 4L ....... (1)
Leya (L) = ½ × Amy (A)
L = ½A ........ (2)
Next, we shall determine the number of pears Leya has. This can be obtained as follow:
From equation 1
J = 4L
But
Josh (J) = 32 pears
Thus,
32 = 4L
Divide both side by 4
L = 32 / 4
<h3>Leya (L) = 8 pears </h3>
Finally, we shall determine the number pears Amy has. This can be obtained as follow:
From equation 2
L = ½A
But
Leya (L) = 8 pears
Thus,
8 = ½A
Cross multiply
A = 8 × 2
<h3>Amy (A) = 16 pears </h3>
Therefore, Amy has 16 pears.
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