Bring the following fractions to the given denominator. Check if the domain of the fraction changed. If yes, state the changes. p/p-2 to a denominator of 4-p^2 The domain of the expression changed from p≠2 to p≠-2

50 pts btw

Show your workcan a right triangle have this sides? *how to prove it without using the pythagorean theorema*

Astudent is determining the influence of different types of food on the growth rate of spiders. she feeds one group of spiders two caterpillars twice a week. the other group received similarly-sized beetles twice a week. she records the amount of time required for individuals to reach sexual maturity. her hypothesis is that the spiders feeding on caterpillars will have a faster growth rate because caterpillars have a higher protein content compared to beetles. in this experiment, what is the dependent variable? spiders assigned to different feeding groups. time required to reach sexual maturity number of prey items fed twice a week. growth rates of each group.

Astudent drew a circle and two secant segment. he concluded that if pq ~= ps, then qr ~= st. do you agree with the student’s conclusion? why or why not?