<h3>
Answer: Parallelogram</h3>
You could use the parallelogram rule to add the vectors, or you could use the tip-to-tail method (your textbook might call it the "head to tail method" but it's the same idea).
An example of the parallelogram method is shown below with adding the vector u = (-4,4) in red to the vector v = (8,2) in blue to get the vector w = (4,6) in green. The green resultant vector is one of the diagonals of the parallelogram
Side note: The other diagonal is either u-v or v-u depending on your reference point.
Don't get too involved in the 'simplify' part just yet.
It doesn't mean make the problem easier.
It means that when you have the answer, make sure it's in simplest form.
That's why it says "Simplify your answer".
Notice that that's the 2nd instruction.
There's nothing to simplify until you have an answer.
The first thing you have to do here is find the area of a triangle.
Do you remember that formula ?
I'll bet you do.
The area of a triangle is (1/2) · (length of the base) · (height) .
The height and the length of the base are given, right there
in the picture. Take those, and use them to find the area.
Once you've multiplied the binomials, don't forget about the (1/2).
Finally, you have a trinomial for an answer.
Put the big sweet cherry on top: Factor it !
I think that's the 'simplify' part.
You may be surprised.
I was when I worked it out just now ... just for you.
Answer:
The sign would be positive.
The answer would be 144.
Step-by-step explanation:
Note that there are two negative numbers and two positive numbers:
positive x positive = positive answer.
negative x negative = positive answer.
Solve:
(-4) * (-3) = 12
2 * 6 = 12
12 * 12 = 144
144 would be your answer.
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If the price went down $5 per day for four days straight, then it would have went down $20 total after the four days.
Variance of a continuous random variable X is defined as
Standard deviation is defined as
Hence standard deviation is the positive square root of variance.
