for 2a, use the theorems of geometry and such to look at the area of the square as 16 squares total, then use the lengths and Sim/cos rule for the triangular area, then subtract and you have you shaded area.
H represents the number of hours:
10h + 40
(40 represents, well $40)
Answer:
The required y-value is -121.
Step-by-step explanation:
There are several ways in which we could approach this problem. From the two binomial factors (x + 8) and (x - 14), we know that the two roots are x = -8 and x = 14. The axis of symmetry is the vertical line x = 3. This value is halfway between x = -8 and x = 14.
Substituting x = 3 into f(x)= -(x+8)(x-14) results in f(3) = -(11)(-11) = -121.
The vertex is at (3, -121). The required y-value is -121.
Answer:
The equation of the line that passes through the point (2, -1) and has a slope of -3 will be:
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
Given
substituting m = -3 and the point (2, -1) in the slope-intercept form of the line equation
y = mx+b
-1 = -3(2)+b
-1 = -6 + b
b = -1 + 6
b = 5
Thus, the y-intercept form of the line equation is b = 5
now substituting b = 5 and m = -3 in the slope-intercept form of the line equation
y = mx+b
y = -3x + 5
Thus, the equation of the line that passes through the point (2, -1) and has a slope of -3 will be: