17/4 + 17/4 + 17/4 = 51/4 cups
51/4 = 12 3/4 cups
First get everything to one side by adding 9 to 2x + 3 and you end up with 2x + 3 + 9 > 0 and you add 9 and 3 and it will be 2x + 12 > 0 and do the same for the second one but if your trying to solve for x, subtract the 3 on both sides and you will get 2x > -12 then you divide 2 by both sides and you get x which is
x > -6
Q1
I like to use the standard form to write the equation of a perpendicular line, especially when the original equation is in that form. The perpendicular line will have the x- and y-coefficients swapped and one negated (remember this for Question 3). Thus, it will be
... 5x - 2y = 5(6) - 2(16) = -2
Solving for y (to get slope-intercept form), we find
... y = (5/2)x + 1 . . . . . matches selection C
Q2
The given equation has slope -3/6 = -1/2, so that will be the slope of the parallel line. (matches selection A)
Q3
See Q1 for an explanation. The appropriate choice is ...
... B. 4x - 3y = 5
Q4
The given line has slope -2, so you can eliminate all choices except ...
... D. -2x
Q5
The two lines have the same slope (3), but different intercepts, so they are ...
... A. parallel
The table of the tolls for Henderson is the direct variation since the cost is proportional to the miles traveled.
Area of the base = 6 (1/2 x 4.3 x 5) = 64.5cm
Area of the top = area of the base = 64.5cm
Area of the 6 side rectangles = 6 x 5 x 11 = 330 cm
Total surface area = 64.5 + 64. 5+ 330 = 459 cm²
------------------------------------------------------------------------
Answer: Total surface area = 459 cm²
------------------------------------------------------------------------
