Answer:
<h2>
12(cos120°+isin120°)</h2>
Step-by-step explanation:
The rectangular form of a complex number is expressed as z = x+iy
where the modulus |r| = 
and the argument 
In polar form, x = 
Given the complex number, 
. To express in trigonometric form, we need to get the modulus and argument of the complex number.
For the argument;
Since tan is negative in the 2nd and 4th quadrant, in the 2nd quadrant,
z = 12(cos120°+isin120°)
This gives the required expression.
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Using linear functions, it is found that:
- Jose's equation is:
.
- Gavin's equation is:
.
- They will be on the same page on the 9th day.
<h3>Linear function:</h3>
A <em>linear function</em> is modeled by:
In which:
- m is the slope, which is the rate of change.
- b is the y-intercept, which is the value of y when x = 0.
Jose:
- Initially, he was on page 10, hence
.
- He reads 17 pages per day, hence
.
- Hence, Jose's equation is: .
Gavin:
- Initially, he was on page 37, hence
.
- He reads 14 pages per day, hence
.
- Hence, Gavin's equation is: .
The day they will both be on the same page is x for which:
Hence:
They will be on the same page on the 9th day.
To learn more about linear functions, you can take a look at brainly.com/question/16302622
A. Which reduction should she use so the picture fills as much of the frame as possible, without being too large?
Find the scale factor to get rom 7 1/3 inches to 5 1/3 inches:
5 1/3 / 7 1/3 = 0.7272
Now rewrite the fraction as decimals:
2/3 = 0.667
¾ = 0.75
5/9 = 0.555
The closest scale that would still fit the frame would be 2/3 because it is under 0.727.
B. How much extra space is there in the frame when she uses the reduction from Part A?
Multiply the original size by the scale factor to use:
7 1/3 x 2/3 = 4 8/9
Now subtract the scaled size from the original size:
7 1/3 – 4 8/9 = 2 4/9 inches extra
C. If she had a machine that could reduce by any amount, so that she could make the reduced picture fit in the frame exactly, what fraction would the reduction be?
Convert the scale from part A to a fraction:
0.72 = 72/99 which reduces to 8/11
