Answer:
2d+3 dollars
Step-by-step explanation:
the second one 2d+3
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:
y = 3x + 40
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3 , then
y = 3x + c ← is the partial equation
To find c substitute (- 12, 4 ) into the partial equation
4 = - 36 + c ⇒ c = 4 + 36 = 40
y = 3x + 40 ← equation of line
Answer:
£17.20
Step-by-step explanation:
A clothes shop has some special offers. ?
The normal price of a T-shirt is £7.40 The normal price of a jumper is £9.80.
T-shirts are buy one get one free Jumpers are 3 for 2.
How much does it cost to get 5 jumpers and 2 T-shirts using this offer as appropriate?
The cost of 2 T-shirts since it is a buy 1 get 1 free => £7.40
The cost of 5 jumpers =
You buy 3 Jumpers ,you get 2 jumpers free => £9.80
The total cost = £7.40 + £9.80
= £17.20
