Answer:
7/6π, 1/6π
Step-by-step explanation:
We know that tan is sine/cosine, so cot is cosine/sine.
In this case, we know cotθ = √3
As the number is positive, using the unit circle, we now can say that the two solutions are in quadrants I and III.
Taking a look at the unit circle, we can finalize our answer.
Answer:
What was her farthest distance from her starting point? 200m
Estimate how long it took her to run around the track.76m
Estimate when she was 100 meters from her starting point. 18sec
Estimate how far she was from the starting line after 60 seconds. 75m
Is Priya's time a function of her distance from her starting point
Yes (I think?)
Step-by-step explanation:
(2 - 3i) + ( x + yi) = 6
(x + yi) = 6 - (2 - 3i)
Distribute the - to the 2 - 3i and get
x + yi = 6 - 2 + 3i
Accumulate like terms.
x + yi = 4 + 3i. Answer
The magnitude of each vector is the Pythagorean sum of its components.
a. |v1| = √(2² + (-6)²) = √40 = 2√10
|v2| = √((-4)² + 7²) = √65
b. To make each vector into a unit vector, divide each component by the vector's magnitude.
u1 = v1/|v1| = (2/(2√10), -6/(2√10))
u1 = (√10/10, -3√10/10)
u2 = v2/|v2| = (-4/√65, 7/√65)
u2 = (-4√65/65, 7√65/65)
Answer:
Step-by-step explanation:
The given quadratic expression is
3x² - 9x + 6
Dividing each term in the expression by 3 in order to simplify it further, it becomes
x² - 3x + 2 = 0
We would determine two numbers such that their sum or difference is -3x and their product is 2x².
The two numbers are - 2x and - x.
Therefore,
x² - 2x - x + 2
x(x - 2) - 1(x - 2)
(x - 1)(x - 2)
When the expression is factored completely, it is equivalent to
(x - 1)(x - 2)
