Answer:
A) In the table, we can see that from one pair (x,y) to the next one, x-variable increase in 10 units and y-variable increase in 80 units. This is valid for all pairs (x,y), which mean that there is a linear relationship between these variables.
B) slope (m) = y-variable increment / x-variable increment = 80/10 = 8
the coordintae (0, 120) indicates that 120 is the y-intercept (b) of the line
Equation of a line in the slope y-intercept form:
y = mx + b
y = 8x + 120
C) The y-intercept indicates the number of products produced monthly without employees.
The slope indicates how much the production increase with a new employee.
A line parallel to the "vertical line" has no defined slope, and a line parallel to the "horizontal line" has a slope of zero.
Vertical lines have undefined slope, as any two points on the line have the same x-coordinate. The equation of vertical lines are often represented by, x = a, where a is the x-intercept in (a, 0). This means that the x-coordinate will always be the same regardless of the y-coordinate paired with it. If one were to solve for the slope of vertical lines using the formula, m = (y2 - y1)/(x2 - x1), it will not produce a finite number because division by zero is an undefined operation.
Horizontal lines are often represented by, y = b, where b is the y-intercept in (0, b).
A horizontal line have a constant y-coordinate, regardless of its paired corresponding x-coordinates.
4ft X 1/5 by 6 ft X 1/5= 4/5ft by 1 1/5 ft= 0.8 ft by 1.2 ft
0.8 foot × 1.2 feet
Answer:
Its a right angle triangle so trigonometry is used.
a is the hypotenuse, b is the adjacent.
Use sin to find a. Use tan to find b.
Answer: 195
Step-by-step explanation:
(0.3x + 66) + (0.1x + 36) = 180. ( 180 because thats the angle of a straight line)
0.3x + 0.1x + 66 + 36 = 180
0.4x + 102 = 180
0.4x = 180 - 102
0.4x = 78
x = 195