What is (1, -7) Translated 3 units to the Left, and 5 Units up?

The point after translation is: (-2, -2)

Step-by-step explanation:

Given point is:

(1, -7) => A(1,-7)

There are four cases for a point's translation:

Now we have to translate the given point 3 units to the left which means 3 will be subtracted from x coordinate.

Similarly, The point has to be translated 5 units up which means 5 will be added to the y-coordinate of point.

Hence,

The point after translation is: (-2, -2)

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