Points a and b on the coordinate grid below show the positions of two midfield players of a soccer team: coordinate grid shown from negative 4 to positive 4 on x-axis and negative 4 to positive 4 on y-axis. from the origin, point a is located 1 unit to the left and 3.5 units down. from the origin, point b is located 1 unit to the right and 3.5 units down. which statement best describes the relationship between the positions of the two midfield players?

Point B is the correct answer. For the best relationship between the positions of the two midfielders.

Step-by-step explanation:

B is A reflected across the y-axis; only the signs of the x-coordinates of A and B are different.

Step-by-step explanation:

Consider the provided information.

It is given that positions of the coordinates of A and B :

From the origin, point A is 1 units to the left and 3.5 units down.

1 units left of the origin is the negative value of x i.e x = -1 and 3.5 units down origin is y = -3.5

Therefore, the coordinates of A is (-1, -3.5).

From the origin, point B is 1 units to the right and 3.5 units down.

1 units right of the origin is x = 1 and 3.5 units down origin is y = -3.5

Therefore, the coordinates of B is (1, -3.5).

We can see that x-coordinates of A and B are opposite in sign.

The reflection over y axis is gives us the opposite sign of x coordinate.

Therefore, B is A reflected across the y-axis; only the signs of the x-coordinates of A and B are different.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

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step-by-step explanation: