Answer:
The standard form of the line is 10x + 3y = 10
Step-by-step explanation:
First we need to find the slope of the equation, which we can do using the slope equation and the two points given: (3, 0) and (0, 10)
m(slope) = (y2 - y1)/(x2 - x1)
m = (10 - 0)/(0 -3)
m = 10/-3
Now we can write the equation in slope intercept form since we have the slope and the intercept.
y = mx + b
y = -10/3x + 10
Now we can manipulate the equation to get the standard form.
y = -10/3x + 10
10/3x + y = 10
10x + 3y = 30
Answer:
2y=4 is a linear function
Step-by-step explanation:
Since 2y=4 is the same as 2y¹=4, then a degree of 1 makes the function linear, aka. a straight line.
Answer:
The family of possible values for 
are:
Step-by-step explanation:
By Linear Algebra, we can calculate the angle by definition of dot product:
(1)
Where:
- Angle between vectors, in sexagesimal degrees.
- Norms of vectors 
and 
If is acute, then the cosine function is bounded between 0 a 1 and if we know that 
and 
, then the possible values for are:
Minimum (
)
Maximum (
)
With the help of a graphing tool we get the family of possible values for are:
So the pay after the increase is 4380 so subtract 4380-584 which equals 3796.
