Answer:

Step-by-step explanation:
Given the expression:

To find:
The expression of above complex number in standard form
.
Solution:
First of all, learn the concept of
(pronounced as <em>iota</em>) which is used to represent the complex numbers. Especially the imaginary part of the complex number is represented by
.
Value of
.
Now, let us consider the given expression:

So, the given expression in standard form is
.
Let us compare with standard form
so we get
.
The standard form of

is: 
Answer:
b =-2
Step-by-step explanation:
-3b+7=13
Subtract 7 from each side
-3b+7-7=13-7
-3b = 6
Divide each side by -3
-3b/-3 = 6/-3
b = -2
Answer:
X + (0.18 * X)
where X is the price of the bill without the tip
Step-by-step explanation:
The first thing you have to do is convert the percentage to a decimal value. For example, if it is 30%, its decimal value is 0.30. As simple as dividing that 300 by 100. Repeat the previous step with all the percentages you have to add.
In this case it is 18% therefore the decimal value will be 0.18. As we do not have the value of the account, we will call this value X .
Therefore the total price of the account, that is, with the addition of the tip is as follows:
X + 18% de X =
X + (0.18 + X)
Answer:
Please find attached, the required drawing of quadrilateral ABCD and the dilation of quadrilateral ABCD scaled down by a scale factor of 1/3
Step-by-step explanation:
The coordinates of the quadrilateral ABCD are;
A(0, 6), B(6, 6), C(9, 0), D(0, 0)
From the dilation by a scale factor of 1/3, using D as the center of dilation, we have from the attached drawing, the following coordinates of the quadrilateral EFGH as E(0, 2), F(2, 2), G(3, 0) H(0, 0) which is the quadrilateral ABCD scaled down by 1/3