Answer:
The gradient of the straight line that passes through (2, 6) and (6, 12) is 
.
Step-by-step explanation:
Mathematically speaking, lines are represented by following first-order polynomials of the form:
(1)
Where:
- Independent variable.
- Dependent variable.
- Slope.
- Intercept.
The gradient of the function is represented by the first derivative of the function:
Then, we conclude that the gradient of the staight line is the slope. According to Euclidean Geometry, a line can be form after knowing the locations of two distinct points on plane. By definition of secant line, we calculate the slope:
(2)
Where:
, 
- Coordinates of point A.
, 
- Coordinates of point B.
If we know that 
and 
, then the gradient of the straight line is:
The gradient of the straight line that passes through (2, 6) and (6, 12) is .
Answer:
$17,321.43
Step-by-step explanation:
The amount of monthly income from commissions would have to be ...
$2100 -975 = $1125
This is 7% of sales over $1250, so the sales (s) would need to be ...
1125 = 0.07(s -1250)
1125 = .07s -87.50 . . eliminate parentheses
1212.50 = 0.07s . . . . add 87.50
17,321.43 = s . . . . . . . divide by 0.07
He would have to sell $17,321.43 in a month if he needed an income of $2100.
3 1/6 / 1/3 =
19/6 / 1/3 =
19/6 * 3/1 = 57/6 = 9 1/2 gallons per square foot
Essentially, 50% of $10.56 is $5.28.
This means that all we have to do is add $10.56 to $5.28, making <u>$15.84</u>
Side note: Another way that you can do this is by simply doing 1.5(10.56).
Answer:
0.1333 or 
Step-by-step explanation:
The attached image contains the steps.
