Asystem of linear equations has been graphed in the diagram. determine a reasonable solution for the system of equations.
(1,1)
(-2,1)
(1,-1)

(1,-1)

Step-by-step explanation:

The solution to a system of equation means the x and y values if we were to solve both equations (of lines) simultaneously.

That is also known as the intersecting points.

The top-right part is known as the 1st Quadrant in a coordinate system.

Top-left is 2nd Quadrant.

Bottom left is 3rd Quadrant.

Bottom right is 4th Quadrant.

The values of x and y (positive or negative) of each quadrant is shown below:

The intersection point (solution) of the 2 lines shown is in the 4th quadrant, which has x values positive and y values negative.

From the answer choices, we see that 3rd answer choice goes with this -- (1,-1), so this is the correct choice.

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:

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi