The area of a rectangle is x^2 + 4x - 5. If we factored this out, we would get the lengths and widths of the sides of the rectangle. For what value(s) of x would these side lengths not make any sense? Why?

If X ≤ 1, these side lengths has no sense.

Step-by-step explanation:

We can factored the expression X² + 4X - 5 in a expression in the form:

(X+a) (X+b)

Where a*b = -5 and a+b = 4

That means a could be 5 and b = -1:

(X+5) (X-1)

The side lenghts of the rectangle will not have any sense if ≤ 0. With the factored expression:

(X+5) ≤ 0 ;  If X ≤ -5, these side lengths has no sense.

Also:

(X-1) ≤ 0; If X ≤ 1, these side lengths has no sense.

Both expressions are resumed in:

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