Answer:1/2x+2
Step-by-step explanation:
Answer:
The direction angle of vector v is equal to 
Step-by-step explanation:
Let

The vector v is given by




Remember that
The direction angle of the vector is equal to

substitute the values


Answer:
Lacrosse = 62 students
Swimming = 62 students
Soccer = 124 students
Football = 186 students
Step-by-step explanation:
Based on the information, we can draw some equations
<em>1.</em> Lacrosse = Swimming
<em>2.</em> Soccer = 2 * Lacrosse
<em>3.</em> Football = 3 * Swimming
<em>4.</em> Football + Soccer + Swimming + Lacrosse = 434
Lets solve for once sport at a time, I will start with Football.
I will put equation 1, 2 and 3 into equation 4
3Sw + 2L + L + L = 434
We can now again put equation 1 into the new equation 4
3L + 2L + L + L = 434
Simplify
7L = 434
L = 434 ÷ 7
L = 62 students
Since L = Sw, 62 students did swimming also
We can put L into equation 2 to solve for So
So = 2 * 62
So = 124 students
And now we can put Sw into equation 3 to solve for F
F = 3 * 62
F = 186 students
Answer:

Step-by-step explanation:
we are given the polynomial as

here we can see that the GCF of
,
and
is
Hence we take it outside the bracket

The polynomial within the bracket
can not be factorized further , hence this would be our final answer.
There would be 11 calories per serving