Answer: Slope: -1/2
Step-by-step explanation: To find slope take 2 points that lie on the line and use this formula to solve: <em> </em>I will use (0, -2) and (2, -3) to solve
↑ ↑ ↑ ↑
y2 - y1 x1 y1 x2 y2
-----------
x2 - x1
So, for this question, substitute the x and y values from the points above to solve.
-3 - (-2)
----------- = - 1/2
2 - 0
Hope this helped. :)
Answer:
1/6 as an decimal would be, 0.1666 Continued
Step-by-step explanation:
Answer:
Step-by-step explanation:
The formula for the dot product of vectors is
u·v = |u||v|cosθ
where |u| and |v| are the magnitudes (lengths) of the vectors. The formula for that is the same as Pythagorean's Theorem.
which is
which is
I am assuming by looking at the above that you can determine where the numbers under the square root signs came from. It's pretty apparent.
We also need the angle, which of course has its own formula.
where uv has ITS own formula:
uv = (14 * 3) + (9 * 6) which is taking the numbers in the i positions in the first set of parenthesis and adding their product to the product of the numbers in the j positions.
uv = 96.
To get the denominator, multiply the lengths of the vectors together. Then take the inverse cosine of the whole mess:
which returns an angle measure of 30.7. Plugging that all into the dot product formula:
gives you a dot product of 96
Answer:
third option is the correct
Step-by-step explanation:
A function is "odd" when f (-x) = - f (x) for all x. ... For example, functions like
- f (x) = x3,
- f (x) = x5,
- f (x) = x7, ... are odd functions.