Answer:
x=8
Step-by-step explanation:
(2x + 1)² = x² + (2x - 1)² = x² + (2x - 1)(2x - 1)
(2x + 1)(2x + 1) = x² + 4x²-2x-2x+1
4x²+2x+2x+1 = 5x²-4x+1
4x²+4x+1 = 5x²-4x+1
0= 5x²-4x²-4x-4x+1-1
0= x²-8x
x²-8x=0
x²=8x
x=8
, it is important to recognize that the point (x,y) in the first quadrant represents any
point on the semicircle. In Figure 2, the same semicircle is shown with the inscribed rectangle drawn for
three different values of x.
Answer:
See explanation
Step-by-step explanation:
One vertex is at point (2,3).
Go 1 unit to the left and 5 units up, then the second vertex will be at the point (1,8).
Go 5 units to the right and 1 unit up, then the third vertex will be at point (6,9).
Go 1 unit to the right and 5 units down, then the fourth vertex will be at point (7,4).
Go 5 units to the left and 1 unit down to get into the vertex (2,3).
Since you always move one unit in one direction and 5 units in another direction, obtained quadrilateral will be a square.
See attached diagram for details.
