Answer: y = 1.73*x - 0.46
Step-by-step explanation:
For a linear equation of the form:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we have an angle of A degrees with respect to the x-axis, the slope of the function can be calculated as:
Tan(A) = a.
in this case, we have we have an inclination of 30° to the positive x-axis (measured from the positive y-axis) and we know that the angle between the positive x-axis and the positive y-axis is 90°, then the angle measured from the positive axis will be such that:
A + 30° = 90
A = 90° - 30° = 60°
Then the slope is:
a = Tan(60°) = 1.73
Then we have the equation:
y = 1.73*x + b
And we know that this line passes through the point (2, 3) then we can replace x by 2 and y by 3 in the equation, and find the value of b.
3 = 1.73*2 + b
3 - 1.73*2 = b = -0.46
Then the equation is:
y = 1.73*x - 0.46
Answer:
Step-by-step explanation:
Change the mixed number into a regular fraction.
Subtract the numerator.
As a mixed number:
No. The whole numbers are the natural numbers (counting numbers, 1, 2, 3...), but starting with zero instead of one. -1 is an integer but not a whole number.
Always do what's in parentheses first:
Then do multiplication and division:
Then addition and subtraction last:
The property that justifies multiplying through eqn(2) by -2 is;
the rationalization to align the coefficients of x in both equations with a view to eliminating the terms in x.
