The graph below shows the number of paintballs a machine launches, y, in x seconds:

a graph titled rate of launch is shown. the x axis label is time in seconds, and the x axis values are from 0 to 20 in increments of 4 for each grid line. the y axis label is number of balls, and the y axis values from 0 to 100 in increments of 20 for each grid line. a line is shown connecting points on ordered pair 4, 20 and 8, 40 and 12, 60 and 16, 80.

which expression can be used to calculate the rate per second at which the machine launches the balls?

fraction 80 over 4

fraction 20 over 4

fraction 4 over 80

fraction 4 over 20

The expression that can be used to calculate the rate per second at which the machine launches the balls is fraction 20 over 4.

Step-by-step explanation:

The x-axis label is Time in seconds, and the x-axis values are from 0 to 20 in increments of 4 for each grid line.

And the y-axis label is Number of Balls and the y-axis values from 0 to 100 in increments of 20 for each grid line.

If the ordered pairs (4,20) and (8,40) are on the graph, then the slope of the line will be represented by  

Therefore, the expression that can be used to calculate the rate per second at which the machine launches the balls is fraction 20 over 4. (Answer)

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

here is a big fat