Answer:
See below ~
Step-by-step explanation:
<u>Question 1</u>
- (2 + 3i) + (3 - 4i)
- <u>5 - i</u>
<u>Question 2</u>
- (3 – 5i) – (–2 – i)
- 3 - 5i + 2 + i
- <u>5 - 4i</u>
<u>Question 3</u>
- (2 − 4i)(1+ 3i)
- 2 - 4i + 6i - 12i²
- <u>14 + 2i</u>
<u>Question 4</u>
- 2i(-1 + 3i)
- -2i + 6i²
- <u>-6 - 2i</u>
<span>solve the equation ax – c = bx + d for x:
1) Group the x terms together on the left: ax - bx - c = d
2) Group the constant terms together: ax - bx = c + d
3) factor out x: x(a - b) = c + d
4) Divide both sides of the equation by (a - b) to obtain a formula for x:
c+d
</span> x(a - b) = c + d => x = ---------
a-b
This shows that the given equation CAN be solved for x, but there is a restriction: a must NOT equal b, because if a-b = 0, we'd have division by zero (which is not defined).
Where is Victoria's solution? Please share it if you want to discuss this problem further. Thank you.
Answer:
Step-by-step explanation:
The better buy is the one where you get more area of pizza per dollar (area/price).
Since the problem gives diameter, we assume the pizzas are circle-shaped.
Circle Area = pi x (radius)², and radius r = 1/2 of diameter d.
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Pizza 1: d = 8 and price is $10
r = 1/2 x d = 4
Area of Pizza 1 = πr² = π(4)² = 16π
*** area/price for Pizza 1 = 16π/$10 = 1.6π area per dollar
**********************************************************************************
Pizza 2: d = 14 and price is $16
r = 1/2 x d = 7
Area of Pizza 2 = πr² = π(7)² = 49π
*** area/price for Pizza 2 = 49π/16 = 3.0625π area per dollar
***********************************************************************************
Pizza 2 is the better buy, with more pizza per dollar.