I need help with this one.

Mathematics

1 answer:

Elanso [62]3 years ago

3 0

Answer:

y=(-4/1)x-5

Step-by-step explanation:

You need to find the slope of the line and the y intercept, you can do this by plotting the points into a graph and figuring it out that way, or you can use the equations y2-y1/x2-x1 (for slope) and y=(*the slope from the other equation*)x+b. For both equations plug in a corresponding x and y coordinate given on the list (y1 and y2 would be consecutive coordinates, so 1 and 2, and same for x1 and x1, so -9 and -13). You should get (-4/1) for the slope, and when you plug that into the other equation you should get 5. Lastly you plug all these numbers into y=mx+b, and you get your answer.

Hope this helps :)

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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.

$|u|=\sqrt{14^2+9^2}$ which is $\sqrt{277}$

$|v|=\sqrt{3^2+6^2}$ which is $\sqrt{45}$

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.

$cos\theta=\frac{uv}{|u||v|}$ 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:

$cos^{-1}\theta=\frac{96}{111.64676}$ which returns an angle measure of 30.7. Plugging that all into the dot product formula: