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6x-4y=24

Step-by-step explanation:

From the graph, there are two intersections to be found one at (4,0) and another at (0,-6)

Now,

slope,m= y1-y2/x1-x2

=0+6/4-0

=3/2

The equation of the straight line passingt through the point (4,0) is

y-y1=m(x-x1)

or, y-0=3/2 (x-4)

or, 2y=3x-12

or, 3x-2y=12

or, 2(3x-2y)=2(12) [Multiplying both sides by 2]

or, 6x-4y=24

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