Answer:
(a) The graphic representation is in the attached figure.
(b) .
(c) .
Step-by-step explanation:
(a) Given a complex number we know, from Euler's formula that . So, it is not difficult to notice that
so it is on the unit circumference. Also, notice that the Cartesian representation of the complex number is .
Now,
.
Notice that has the same modulus that , so it is on the unit circumference. Beside, its Cartesian representation is .
So, the points and are symmetric with respect to the X-axis. All this can be checked in the attached figure.
(b) Notice that
Then,
.
(c) Notice that
Then,
.
Answer:
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Answer:
========================================================
Explanation:
Let's solve for 'a' in the original equation. Each x shown below indicates multiplication.
I used the distributive property to factor out the 'a' in the second step.
As a check so far,
which shows we have the correct value for 'a'.
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Once we determine the value of 'a', we can compute the expression your teacher wants.
Answer:
B. 5a + 10
Step-by-step explanation:
Given:
5(a+2)
Open parenthesis
5(a+2)
= 5a + 10
A. 5a + 2
Wrong option
B. 5a + 10
Correct option
C. a + 10
Wrong option
D. 5 + (a + 2)
= 5 + a +2
= a + 7
Wrong option
M>a + m>b = 90 (complementary angle)
2x + 4x +30 = 90
6x + 30 = 90
6x + 30 -30 = 90-30
6x = 60
6x/6 = 60
x=10
The m>a = 2x
m>a = 20
Supplemenary angles must add up to 180. So, 180- 20 = 160
So the measure of the angle supplementary to angle a is 160°