Answer:
The answer is
<h2>20 + 56i</h2>
Step-by-step explanation:
(2 -10i) (-5 + 3i)
Using FOIL multiply each term in the first bracket by the terms in the second <u>bracket</u>
That's
2(-5) + 2(3i) - 10i(-5) - 10i(3i)
<u>Multiply the numbers and simplify</u>
We have
- 10 + 6i + 50i - 30i²
From the rules of imaginary numbers
<h3>i² = - 1</h3>
So we have
- 10 + 56i - 30(- 1)
- 10 + 56i + 30
Simplify
30 - 10 + 56i
We have the final answer as
<h3>20 + 56i</h3>
Hope this helps you
Answer:
Donnys
Step-by-step explanation:
You get 10 bagels for $11 at Bobs, while you can get 12 bagels for less ($9).
Answer:
Step-by-step explanation:
Equation of a line is given as 
Where,
m = slope of the line = 
b = y-intercept, which is the value at the point where the line intercepts the y-axis. At this point, x = 0.
Let's find m and b to derive the equation for the line.
Use the coordinate pair of any two points on the line. Let's use the following,
=> on the line, when x = 0, y = -2
=> on the line, when x = 4, y = 1
Plug in the values and solve for m
b = -2 (the line intercepts the y-axis at this point)
Our equation would be =>
<h3>
Answer: 8/25</h3>
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Explanation:
In a standard deck, there are 52 cards.
If this deck is missing the queen of hearts and 2 of clubs, then we really have 52-2 = 50 cards in the deck.
There are 4 aces and 13 spades. Those values add to 4+13 = 17, but we need to subtract off 1 to account for the ace of spades counted twice. We have 17-1 = 16 cards that are either an ace, a spade, or both.
Or you can think of it like saying 13 spades + 1 ace of hearts + 1 ace of diamonds + 1 ace of clubs = 16 cards total.
-----------------
The event space has A = 16 cards in it, while the sample space has B = 50 cards.
The probability we're after is A/B = 16/50 = 8/25
Well first you times the 0.3 to w and 10 which will give you 0.3w + 3 = 1.8w and subtracting 1.8 from 0.3 gives you
1.5w=3 and that is divided to w=2
