Simply the formula of an area is Length x Width
An expression is the core parts of an equation Ex. A + B
A - 11 * 3 (Expression)
B - 11 * 3x (Expression)
* = multiply (x)
Answer:
You cannot gather an answer from this, it is in simplest form
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.
The correct conclusion is:
<span>C) It takes the restaurant about 6 minutes to prepare each order for delivery
2x is the time it takes to deliver the order, every mile is traveled within 2 minutes.
6 is the number of minutes it takes to prepare the order before it will be set out for delivery.
</span>
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