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: 44
Step-by-step explanation:
Let your age be x.
Then your mother's age will be 2x + 12.
After 8 years,
Your age will be x + 8.
Your mother's age will be 3(x + 8) - 20 = 3x + 24 - 20 = 3x + 4.
This is equal to 2x + 12 + 8 = 2x + 20
2x + 20 = 3x + 4
3x - 2x = 20 - 4
= x = 16
Answer:
3
Step-by-step explanation:
g ( x ) = 6
g ( x ) = 3x - 3
3x - 3 = 6
3x = 6 + 3
3x = 9
x = 9 / 3
x = 3
Answer:
1.44
Step-by-step explanation:
1.63-.19= 1.44
No, it does not and it's not supposed to. A trend line is drawn to go through in the best way possible, to go through the "center" of the points as best as it can. It may hit some of the points, but not all of them. Generally, the idea is to try to get the trend line to have as many points "above" it as it does "below" it to say you've gone through them evenly.