On the complex plane, the number 
is mapped onto the point with coordinates 
.
In other words, the x coordinate is the real part of the number, while the y coordinate is the complex part of the number.
Viceversa, if you start from a point 
, you can identify the number 
.
So, the endpoints of the diagonal are the points 
and 
. These are points A and C in the attached figure.
This means that points B and D have coordinates
So, the correspondant complex numbers are
Answer:
785.4
Step-by-step explanation:
The formula to find the surface area of a cylinder is
2* pi* radius* height + 2* pi* 2radius.
2( 3.14) (5) (20)= 628
2 (3.14* 5*5)= 157
628+ 157= 785.
Answer:
(4/3, 7/3)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations of using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
7x - y = 7
x + 2y = 6
<u>Step 2: Rewrite Systems</u>
Equation: x + 2y = 6
- [Subtraction Property of Equality] Subtract 2y on both sides: x = 6 - 2y
<u>Step 3: Redefine Systems</u>
7x - y = 7
x = 6 - 2y
<u>Step 4: Solve for </u><em><u>y</u></em>
<em>Substitution</em>
- Substitute in <em>x</em>: 7(6 - 2y) - y = 7
- Distribute 7: 42 - 14y - y = 7
- Combine like terms: 42 - 15y = 7
- [Subtraction Property of Equality] Subtract 42 on both sides: -15y = -35
- [Division Property of Equality] Divide -15 on both sides: y = 7/3
<u>Step 5: Solve for </u><em><u>x</u></em>
- Define original equation: x + 2y = 6
- Substitute in <em>y</em>: x + 2(7/3) = 6
- Multiply: x + 14/3 = 6
- [Subtraction Property of Equality] Subtract 14/3 on both sides: x = 4/3
Answer: If he gives Al 42, then he gives Bob 21 and Carl 84. Do those add up to 210? 42 + 21 + 84 = 147–that’s too small! Go bigger.
Step-by-step explanation:
So Since (D) is odd, shoot right to (E). If he gives Al 60, then he gives Bob 30 and Carl 120. Does that add up to 210? Yes, yes it does. 60 + 30 + 120 = 210.
Interest = p times R times T
