Answer:
The required formula is:
Step-by-step explanation:
The total number of squares of the the first term = 4
The total number of squares of the the second term = 7
The total number of squares of the the third term = 10
so,



Finding the common difference d


As the common difference 'd' is same, it means the sequence is in arithmetic.
So
If the initial term of an arithmetic progression is
and the common difference of successive members is d, then the nth term of the sequence
is given by:

Therefore, the required formula is:
You need to find the slope
251-248. 3
------------- = --------
2005-1965. 40
Answer:
(a) = 11 cm
Step-by-step explanation:
The formula for finding the surface area of a regular pyramid is B + (1/2*P*l), with B being the area of the base, p being the perimeter of the base, and l being the slant of the pyramid.
The area of a pentagon can be solved using the formula 1/2*a*p, with a being the apothem and p being the perimeter of the pentagon.
- B + (1/2*80*15) = 1040
- B + 600 = 1040
- 1040 - 600 = 440 (440 is the area of pentagon)
- 1/2*a*(16*5) = 440
- 40*a = 440
- 440/40 = 11
The apothem is 11 cm. Hope this helps!
Answer:
-74
Step-by-step explanation:
Graph the function. See attached picture. Between the interval where -4 > x < 0, the graph rises up to a peak and descends back down when x = 0. This means the minimum value will be where x = -4.
Substitute x = -4 into the equation.
f(-4) = (-4)^3 -3(-4)^2 - 9(-4) + 2
f(-4) = -64 -3(16) +36 + 2
f(-4) = -64 - 48 + 36 + 2
f(-4) = -74