Write an equation of the line passing through the point (3, 4) that is parallel to the line −2x+3y=2

-2x + 3y = 6

Step-by-step explanation:

A line parallel to the given -2x + 3y = 2 will have the same slope, and will also have the same form, different only in the constant term:   -2x + 3y = C.

We know that this new line passes thru (3,4).  Use this info to determine C for this line.  -2(3) + 3(4) = C, or -6 + 12 = C, or C = 6.

Thus, the equation of the line thru (3,4) parallel to the given line is  -2x + 3y = 6.

circumference divided by 3.141592654 then timesthe radius twice

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice

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