f(x) = tan2(x) + (√3 - 1)[tan(x)] - √3 = 0
tan2(x) + √3[tan(x)] - tan(x) - √3 = 0
Factor into
[-1 + tan(x)]*[√3 + tan(x)] = 0
which means
[-1 + tan(x)] = 0 and/or [√3 + tan(x)] = 0
Then
tan(x) = 1
tan-1(1) = pi/4 radians
For the other equation
[√3 + tan(x)] = 0
tan(x) = -√3
tan-1(-√3) = -pi/3
so that
x = pi/4 or -pi/3 in the interval [0, 2pi]
Assuming M is midpoint of RS
the midpoint formula is
x term of the midpoint is average of the x value of the 2 points
y term of the midpoint is average of the y value of the 2 points
if R is (x,y)
S is (6,1)
x value of midpoint is 4
x value of S is 6
x value os R is x
so
average of x and 6 is 4,
(x+6)/2=4,
x+6=8,
x=2
y value of midoint is 2
y value of S is 1
y value of R is y
average of 1 and y is 2
(y+1)/2=2
y+1=4
y=3
the midpoint is (2,3)
Answer:
48 is the answer
Explanation provided in picture
Width times length equals area so 13 times 17 equals 221 and multiply that by the price of each square inch so he should charge $66.30
X = 5; 2(5) - 1 = 9. 4(9) = 36
