To convert from rectangular coordinates (x,y) to polar coordinates (r, θ), the following equations should be used:
r = sqrt( x^2 + y^2)
<span>θ = tan^-1 (y/x)
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Substituting (-3,3) accordingly to the equations, we obtain r equal to 3*sqrt(2) and θ equal to -π/4. Thus, the polar coordinates equivalent to (-3,3) is (3*sqrt(2), -π/4).
Area of rectangle is width × length
which means area of rectangular floor in Tamara's room = width of room × length of room
-> 95 ⅚ sq feet = 8 ⅓ feet × length of
->(95 + 5/6) sq feet = (8 + 1/3) feet × length of room
->575/6 sq feet = 25/3 feet × length of room
length of room = (575/6)/(25/3)
= 575 × 3/6 × 25)
= 23/2
= 11 ½ feet
32850 pounds are used in a year.
a) (f+g)(x) = f(x) + g(x) = -4x + 5x = x
b) -9(x) = -9x? I have no idea what this means.
c) (f o g)(x) = (f(g(x)) = f(5x) = -4 (5x) = -20x
Dividing fractions is the same thing as multiplying by the reciprocal
3/4 x 24/1 = 18