The complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)
<h3>What is a complex number?</h3>
It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have a complex number shown in the picture:
-7i(3 + 3i)
= -7i
In trigonometric form:
z = 7 (cos (90) + sin (90) i)
= 3 + 3i
z = 4.2426 (cos (45) + sin (45) i)




=21-21i
After converting into the exponential form:

From part (b) and part (c) both results are the same.
Thus, the complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)
Learn more about the complex number here:
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Answer: See explanation
Step-by-step explanation:
Total number of text messages = 800
Amount used by Tommy and Mary = 1/2 × 800 = 400
Number of messages uses by Jack and Stefanie = 240
The expression to find the number of messages Cathy uses will be:
= 800 - (1/2 × 800) - 240
Since the expression is 800 - (1/2 × 800) - 240, the number of messages that Cathy will use will be:
= 800 - (1/2 × 800) - 240
= 800 - 400 - 240
= 160 messages
Answer:
The remaining solution to the equation is x = 1
Step-by-step explanation:
2x^2 + x - 1 = 2
First set the equation to zero by subtracting 2 from each side:
2x^2 + x - 1 - 2 = 2 - 2
2x^2 + x - 3 = 0
Factor the left side of the equation:
2x^2 + x - 3 = 0
(2x + 3)(x - 1) = 0
Now set each factor to zero and solve:
2x+ 3 = 0
2x+ 3 - 3 = 0 - 3
2x= -3
2x/2= -3/2
x= -3/2 (The given expression)
x - 1 = 0
x - 1 + 1 = 0 + 1
x = 1
Since we already knew x = -3/2, the missing solution is x = 1.
Answer:
Option 4) 
Step-by-step explanation:
we know that
If two figures are similar then the ratio of its areas is equal to the scale factor squared
Let
z------> the scale factor
x-----> the area of the dilated rectangle
y----> the area of the original rectangle
so

we have


substitute and solve for x

