Answer: 8
Step-by-step explanation:
The answer should be 8 if I did the math correctly, I am very sorry if it is wrong.
Answer:
Step-by-step explanation:
Your equation is:
You also know that x = -3 and y = 2. You can rewrite the equation by substituting x and y with their actual values:
First, you want to do the exponentiation (meaning you want to calculate and parts). equals 9 and equals 16.
So the equation now is:
Now you want to do multiplication. equals 36 and equals 32. So you're left with:
Which equals 68.
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:
Yes
Step-by-step explanation:
For ease, let's multiply these by 10,000.
0.09 • 10,000 = 900.00 = 900
0.0003 • 10,000 = 3.00 = 3
900 is clearly greater than 3. Therefore, 0.09 is greater than 0.0003.
Step-by-step explanation:
everything can be found in the picture