Ten to the power of five.
12 x 14 = 168 sq ft
12 x 10 = 120 sq ft
8 x 12 = 96 sq ft
Total would be 384 sq ft of carpeting needed.
X^4 - 5x^2 - 36 = 0
(x^2 - 9)(x^2 + 4) = 0 - factor the left side
(x + 3)(x - 3)(x^2 + 4) = 0 - factor (x^2 - 9 as difference of squares)
x + 3 = 0 x - 3 = 0 x^2 + 4 = 0 Set each factor to 0 if any 0 the left side 0
x = -3 x = 3 x^2 = -4
x = 2i or -2i
The roots are 3, -3, 2i, -2i (Don't know if you need the imaginary roots but I gave you them anyway)
The <em><u>correct answer</u></em> is:
Without changing the span on the compass, place the compass point on one endpoint of the diameter and draw a full circle.
Explanation:
The steps to construct an inscribed equilateral triangle using the diameter are:
1. Place your compass point on the paper and draw a circle. Be sure to keep the compass set at the same width.
2. Using a straightedge, draw the diameter of the circle.
3. With the compass still set to the same width, place the compass point on one endpoint of the diameter and draw a full circle.
4. Draw segments connecting the points of intersection of the two circles and connecting each of these points to the opposite end of the diameter (the one <em>not</em> used as the center of the circle). This forms our triangle.
I believe your answer would be 101001.1011000000000000101.
Hope this helps!
Have a great day!