Determine if the ordered pair (6, 4) is a solution to the inequality y is greater than negative one half times x plus 7.

Let's write the inequality down:

Let's plug the values x=6, y=4:

Which is false, unless you meant "greater than or equal to". In that case, the pair is a solution.

No, the ordered pair(6,4) is not a solution to y > (-1/2)x + 7.

Step-by-step explanation:

First lets establish the area of the solutions of y > (-1/2)x +7. Because it is y>, this means that the area of the solutions is anything above the y value not including the y value itself. So, if we plug in x=6 into the equation, we will get y=4, yet because it is not greater than the y-value itself(4>4 is not true), (6,4) is not a solution to the equation. If it was y is greater than or equal to, the story would be different and (6,4) would be a solution since it includes the y-value itself.

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