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3 years ago

12

after serious negotiating you got $25 discount a pair of sneakers if the original price of the sneakers was $125 what percentage

discount did you get

1 answer:

wolverine [178]3 years ago

8 0

I’m not to sure but I think you would have 50% off but just in case try other options first I hope this helps!

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Y = 4x + 3 how do you solve this

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A restaurant that makes deliveries plotted data points on a scatter plot showing the relationship between x, the number of miles

Sergeeva-Olga [200]

Given:
y = 2x + 6
x - the number of miles between restaurant and point of delivery
y - the number of minutes between the time an order is place and the time it is delivered.

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3 years ago

Find the dot product of the position vectors whose terminal points are (14, 9) and (3, 6).

erma4kov [3.2K]

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:

$u*v=\sqrt{277}*\sqrt{45}cos(30.7)$ gives you a dot product of 96

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3 years ago