Given: p is true
prove: p → q is true
assume p and ~q are both true. ~q → r, and r → ~p. therefore, ~p and p cannot be true, so p and ~q cannot be true. therefore, p → q is true.

what type of proof is illustrated above?

a.
proof by contradiction
b.
proof by contraposition
c.
proof by law of detachment
d.
proof by theorem

You have learned about the six trigonometric functions, their definitions, how to use them, and how to represent them graphically. the sine, cosine, and tangent trigonometric functions can be paired with their reciprocal functions, cosecant, secant, and cotangent, respectively. think about how each function is related to its reciprocal function.how are the graphs of the reciprocal functions related to their corresponding original functions? what happens to the graphs of the reciprocal functions as x approaches the zeros of the original functions? describe how you would teach friends with different learning styles (visual-spatial, aural-auditory, verbal-linguistic, physical-bodily-kinesthetic, logical-mathematical, social-interpersonal, and solitary-intrapersonal) how to graph the reciprocal functions

Iknow its nothing to do with education, but what type of thing should i wrote here? ? : ) its for mcdonald's btw.

What is the graph of the absolute value equation ? y=|x|-5