area of a triangle is 1/2 x base x height
base = 19
height = 3
19 *3 = 57
1/2 x 57 = 28.5 square ft.
The surface area of a sphere is given by
where r represents the radius.
As the radius is given as 60 meters we replace r with 60 in the formula above to get the surface area.
The domain the given graph is :
- -12 <u><</u> x <u><</u> 13
to solve for the dimensions (x+7)(x+2)=66,
we can first use the foiling method to simplify the left side.
x^2 + 2x + 7x + 14 = 66
x^2 + 9x + 14 = 66
now, subtract 66 from both sides.
x^2 + 9x - 52 = 0
now, split this into two parentheses.
(x + 13)(x - 4)
since the root of -13 would give you negative values, x=4. This means that the dimensions of the rectangle are 11 and 6.
The relevant rules of exponents are
.. (t^a)^b = t^(a·b)
.. t^a·t^b = t^(a+b)
You have
.. (t^-4)^-9·t^2
.. = t^((-4)*(-9) +2)
.. = t^38 . . . . . . . . . . . selection C
