What is the image of a for a 270° counterclockwise rotation about c?

Option A). (7, -1)

Step-by-step explanation:

In the given image if A is rotated 270° counterclockwise about C then we have to tell the new position of A on the graph.

After 270° counterclockwise rotation A will land in quadrant 4 equidistant from point C and parallel to the x - axis.

So new coordinates of point A will be (3+4, -1) = (7, -1).

Therefore Option A). (7, -1) will be the answer.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

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