square. The opposite angles are equal, the diagonals intersect at midpoint, opposite sides remain parallel, and the diagonals bisect the angles.
The formula for determining the number of ways to select two pairs of sneakers from three pairs labeled A, B, and C is represented by 3C2 (3 combinations of 2), which calculates as 3! / (2!(3 - 2)!) = 3! / (2! x 1!) = (3 x 2) / (2 x 1) = 3. Therefore, the sample space is S = {AB, AC, BC}.
The height of the building, which is 100 ft, is four times greater than the shadow it casts, measuring 25 ft. Similarly, by maintaining this ratio, a person whose shadow is 1.5 ft tall will stand at four times that length, resulting in... 4 × (1.5 ft) = 6.0 ft. Therefore, the person's height is 6 ft.
Total Cost, C = $(16S + 56). Step-by-step explanation: Chris purchases 8 more Ninja Turtles than Star Wars action figures. The cost per Ninja Turtle is $7, while each Star Wars figure costs $9. If we let S represent the number of Star Wars figures bought, then the number of Ninja Turtles becomes S + 8. The cost for S Star Wars figures is $9S. Similarly, for (S + 8) Ninja Turtles, the total cost is $(7S + 56). Therefore, the overall Total Cost is represented by the sum of the costs for both types of figures, leading to the Total Cost being expressed as C = 9S + (7S + 56).
This represents a difference of squares:
(16a^4 - b^4)
= (4a^2 + b^2)(4a^2 - b^2)
Furthermore, the second bracket can be simplified as it is also a difference of two squares:
(4a^2 + b^2)(4a^2 - b^2)
= (4a^2 + b^2)(2a - b)(2a + b)
