The answer is -11
You put "-1" in place of all the "a"s and get
-(-1) - 12(-1)^2
-(-1) is just 1, and (-1)^2 is "1"
We are then left with 1-12(1) which is 1-12 which is -11
Answer:
45
Step-by-step explanation:
AEF is a similar triangle to ABC. that means it has the same angles, and the sides (and all other lines in the triangle) are scaled from the ABC length to the AEF length by the same factor f.
now, what is f ?
we know this from the relation of AC to FA.
FA = 12 mm
AC = 12 + 28 = 40 mm
so, going from AC to FA we multiply AC by f so that
AC × f = FA
40 × f = 12
f = 12/40 = 3/10
all other sides, heights, ... if ABC translate to their smaller counterparts in AEF by that multiplication with f (= 3/10).
the area of a triangle is
baseline × height / 2
aABC = 500
and because of the similarity we don't need to calculate the side and height in absolute numbers. we can use the relative sizes by referring to the original dimensions and the scaling factor f.
baseline small = baseline large × f
height small = height large × f
we know that
baseline large × height large / 2 = 500
baseline large × height large = 1000
aAEF = baseline small × height small / 2 =
= baseline large × f × height large × f / 2 =
= baseline large × height large × f² / 2 =
= 1000 × f² / 2 = 500 × f² = 500 ×(3/10)² =
= 500 × 9/100 = 5 × 9 = 45 mm²
20/35 and 21/35. The common denominator is 35.
Answer:
Alberta's total overtime pay of the week was $ 145.80.
Step-by-step explanation:
Given that Alberta worked 6 hours at time-and-a-half pay, and 3 hours at double-time pay, and that the value of her regular work hour is $ 9.72, to determine the value of the pay of his overtime, the following equation must be performed:
6x1.5x9.72 + 3x2x9.72 = X
9x9.72 + 6x9.72 = X
87.48 + 58.32 = X
145.8 = X
Therefore, Alberta's total overtime pay of the week was $ 145.80.
Answer: -5 2/3
Step-by-step explanation:
