Hi there!
To multiply, we need to use f.o.i.l:
(x + 8)(x - 7)
= x * x - 7 * x + 8 * x - 8 * 7
= x^2 - 7x + 8x - 56
= x^2 + x - 56
Hope this helps!
Answer:
0.67 cm/s
Step-by-step explanation:
The area of a square is given by :
....(1)
Where
x is the side of a square

Differentiating equation (1) wrt t.

When A = 81cm², the side of the square, x = 9 cm
Put all the values,

So, the length of the side of a square is changing at the rate of 0.67 cm/s.
Ratios don't have to be "per" something, while rates are "per" something.
Ratios compare 2 or more values, as well as rates.
The surface area of the regular hexagonal pyramid is
SA = (1/2) pl + B
where p is the perimeter of the base, l is the slant height of the pyramid, and B is the area of the base
The area of a regular hexagon is 3 sh
where s is the length of the side and h is the length of the apothem.
So,
SA = (1/2)(6)(12) (11) + 3(12)(6sqrt3)
SA = 770 square meters