43. Make Sense and Persevere The lowest and leftmost note on a piano keyboard is an A.
The next lowest A is seven white keys to
the right. This pattern continues. Write an
explicit formula for an arithmetic sequence to
represent the position of each A key on the
piano, counting from the left. If a piano has
52 white keys, in what position is the key that
plays the highest A?

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

the functions have the same rate of change i think. i narrowed it down to this answer and "the rate of change of tour 1 is greater" but i got it wrong using that answer so im assuming its the answer above. (this is a question i also answered from the iready site if anyone needs a reference)

2 liters for 10   people

step-by-step explanation: