Acalculator is broken so that the only keys that still work are the sin, cos, tan, cot, sin^-1, cos^-1, and tan^-1 buttons. the display initially shows 0. in this problem, we will prove that given any positive rational number q, show that pressing some finite sequence of buttons will yield q. (assume that the calculator does real number calculations with infinite precision. all functions are in terms of radians.)
(a) find a sequence of buttons that will transform x into 1/x.
(b) find a sequence of buttons that will transform sqrt(x) into sqrt(x+1).

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

b

step-by-step explanation:

the workers who do no drive has no reasonable reason to buy gasoline due to they don't have anything to use it for