prove that when x>1, a triangle with side lengths a=x^2-1, b=2x, and c=x^2+1 is a right triangle. use the pythagorean theorem and the given side lengths to create an equation. use the equation to show that this triangle follows the rule describing right triangles. explain your step

Although changes result from business transactions, the equality of the fundamental bookkeeping equation must remain. t/f

Ateacher brought a pack of 17 batteries . each calculator uses 3 batteries . how many calculator can the teacher fill with batteries

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.