|a+bi| = √(a² + b²)
-4-√2 i -> take a = -4 and b = -√2
|-4-√2 i| = √[ (-4)² + (<span>-√2)² ]
= </span><span>√[ 16 + 2<span> ]
</span></span><span>= √[ 18 ]</span> = <span>√[ 9 * 2 ]
= 3√2
the absolute value is 3√2</span>
Answer:2x+28 100% right
Step-by-step explanation:
If you're taking trig, the "sum and difference formulas for trig functions" are basic facts that you'll need to learn and commit to memory. I'd suggest you look up these formulas on the net. You will likely immediately find listings for the sine, cosine and tangent.
Answer:
6 items are being purchased
Step-by-step explanation:
Given that variable p represents the number of items being purchased, and the variable t represents the time required to ring up the customer, If it takes 44 seconds to ring up a customer then the number of items being purchased may be computed by substituting the value of t into the given equation
t = 4p + 20.
Using t = 44
44 = 4p + 20
collect like terms or subtract 20 from both sides
44 - 20 = 4p
24 = 4p
Divide both sides by 4
24/4 = p
p = 6
Answer:
y = 4/5
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>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
7/8y + 1/2 = 1 1/5
<u>Step 2: Solve for </u><em><u>y</u></em>
- Convert to improper fraction: 7/8y + 1/2 = 6/5
- [Subtraction Property of Equality] Subtract 1/2 on both sides: 7/8y = 7/10
- [Division Property of Equality] Divide 7/8 on both sides: y = 4/5
