An equation of the form y=ax+b, where y and x are variables, and a and b are constants, is called a linear equation.
The reason it is called linear is because the graph of the equation is a line.
The line passes through the origin only if b=0, as in our problem.
Any line (except vertical lines) represents a proportional relationship in that the change in y is proportional with the change in x. It is not a condition that the line passes through the origin.
In our specific case, y=(1/5)x, means that the change in y is always 1/5 of the change in x. That is, if x changes by 5 units, y changes by 1. If x changes by 10 units, y changes by 2, and so on.
So, the constant of proportionality is 1:5, or 0.2.
Answer: 49
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Step-by-step explanation:
Answer:
48
Step-by-step explanation:
tan theta = opposite side/ adjacent
tan x = 11/10
Take the arctan of each side
arctan tan x = arctan (11/10)
x =arctan (11/10)
x = 47.72631099
To the nearest degree
x = 48
Step-by-step explanation:
-3x² + 2y² + 5xy -2y + 5x² - 3y²
= -3x² + 5x² +2y² -3y² + 5xy -2y
= 2x² - y² +5xy -2y
2 terms