Answer: (5,1)
Step-by-step explanation:
Divide both sides of the equation by 3, Eliminate the x's and you should have 6y=6. After solving y to be 1 plug it into one of the equations to find x
Answer:
III quadrant
Step-by-step explanation:
Given are two complex numbers as
Recall Demoivre theorem as
(cosA+isinA)(cos A+isin B) = cos(A+B)+isin(A+B)
Hence here we have product as
A+B = 3pi/4+pi/2
= 5pi/4
cos 5pi/4+isin 5pi/4 will be the product
Since 5pi/4 lies between pi and 3pi/2, we find that this lies in III quadrant.
Answer:
Yes.
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Systems of Equations
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
8x + 3y = 20
x + 4y = 17
(1, 4)
<u>Step 2: Check</u>
<em>Plug and verify the coordinates is a solution.</em>
- Substitute in point [1st Equation]: 8(1) + 3(4) = 20
- Multiply: 8 + 12 = 20
- Add: 20 = 20
- Substitute in point [2nd Equation]: 1 + 4(4) = 17
- Multiply: 1 + 16 = 17
- Add: 17 = 17
∴ Since both equations work out, (1, 4) is a solution to the systems of equations.
(7) The stadium would need to be filled 11 times. This is because the stadium holds <em>almost</em> 100,000 people, so 10 would not be enough. Of course, 10*100,000 is 1,000,000.
(8)It would take Stacy 6,000 minutes to count to 1,000,000 is she remained at the constant rate. You can find this by dividing 1,000,000 by 1,000 to see how many 1,000s it will take to get to 1,000,000. Then, you can multiply that by 6 since each 1,000 takes 6 minutes. This yields a result of 6,000 minutes.
(9) The manager has exactly enough money to buy 100 cars for a price of 10,000 each. You can find this answer by simply multiplying 100 and 10,000 and seeing that it is less than or equal to 1,000,000.