Answer:
792
Step-by-step explanation:
Counting Combination
Answer:
The option A) -4-3i is correct
Therefore the simplified given expression is (-1-6i)+(-3+3i)=-4-3i
Step-by-step explanation:
Given that the expression is (-1-6i)+(-3+3i)
To simplify the given expression as below :
(-1-6i)+(-3+3i)=-1-6i-3+3i
=(-1-3)+(-6i+3i) ( combining the real parts and imaginary parts separately and adding the like terms )
=-4+(-3i)
=-4-3i
(-1-6i)+(-3+3i)=-4-3i
Therefore the simplified given expression is (-1-6i)+(-3+3i)=-4-3i
Therefore the option A) -4-3i is correct
Answer:
perimeter=32t units
Step-by-step explanation:
let:
a=8t-2
b=8t+2
<u>perimeter=2(a+b)</u>
<u>Subtitute values of a and b:</u>
=2(8t-2+8t+2)
=2(16t)
=<u>32t units</u>
Answer:
x = ±2√15
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
x² = 60
<u>Step 2: Solve for </u><em><u>x</u></em>
- Square root both sides: x = ±√60
- Simplify: x = ±2√15
<u>Step 3: Check</u>
<em>Plug in both solutions of x to verify it's a solution.</em>
x = 2√15
- Substitute: (2√15)² = 60
- Evaluate: 4 · 15 = 60
- Multiply: 60 = 60
x = -2√15
- Substitute: (-2√15)² = 60
- Evaluate: 4 · 15 = 60
- Multiply: 60 = 60
Here we see that both solutions do indeed work.
∴ x = ±2√15 are both solutions to the equation.
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