Answer:
7 + 42i.
Step-by-step explanation:
u v = 7i(6 - i)
= 42i - 7i^2 But i^2 = -1 so:
= 42i - 7(-1)
= 7 + 42i.
Answer:
Step-by-step explanation:
Given
Garden:
One Bag:
Requires
Determine the number of bags to cover the whole garden
This is calculated as thus;
Expand the numerator
Express 81 as 9²
Evaluate as difference of two squares
Hence, the number of bags is
Answer:
x = 1/4
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
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
4x - 5y = 21
<em>y</em> = -4
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in <em>y</em>: 4x - 5(-4) = 21
- Multiply: 4x + 20 = 21
- [Subtraction Property of Equality] Subtract 20 on both sides: 4x = 1
- [Division Property of Equality] Divide 4 on both sides: x = 1/4