Why does the absolute value of every real positive number raised to i equal 1?

Why does the absolute value of every real positive number raised to i equal 1?

22.5 cm 30cm and 37.5cm

The directions state : find, by trial and error, as many solutions as you can for each equation below. l x l = -5

Solve: 1.) |x+5| > x 2.) | x + 1 | -2 =| 2x - 5 |

So i have this worksheet and i dont understand it it has 13-2|x+3|=5 and it is saying to find the negative solution of the equation. Howdo i find the Negitive solution to this equation...

Consider the quadratic function y = ax^2 + bx + c, where a, b, and c are real numbers and a ≠ 0. Describe the nature of the discriminant, b^2 - 4ac, for the graphs of y = ax^2 +...

Is the following statement true for all x, y ∈ R? Justify your answer. |x| + |y| = |x + y|

A meteorologist reported yesterday's high and low temperatures were within 7 degrees of the average temperature of sixty degrees for the day. Write an absolute value inequality that models the range...

like if it looks like this [-634]

a. 7i b. 12 c. -3-2i Please show the work so I can understand this. Thank you!

need to explain reasoning and have examples and counterexamples

need to explain reasoning and have examples and counterexamples

-10|8p-10|+3=-57

Some say that to brew an excellent cup of coffee, you must have a brewing temperature of 200 degrees F, plus or minus 5 degrees. Write and solve an equation describing the maximum and minimum brewing...

If a number has an absolute value equal to 6 what might be that number

y= log2|X| I really need to be guided through this with details. The first I did was attempt to do a table of values for y=log2(X) and y=log2(-x) Both tables are...

can you help me through the steps of this problem? please?

h(x) = 1/2x+3 and j(x) |x|, which value of x makes h(x) j(x)?

...

A spring hanging from a ceiling is bouncing up and down so that its distance, d, above the ground satisfies the inequality |d-4|<_1/2 foot. a. Solve this inequality for d. B...