The length of segments ab is 24
Answer:
the awnser would be a(g(x)=3x2
Answer:
R = -8 1/6
Step-by-step explanation:
We'll solve the given equation for R.
Subtract 3 1/2 from both sides of the equation, to isolate R:
R + 3 1/2 - 3 1/2 = -4 2/3 - 3 1/2, or
R = -4 2/3 - 3 1/2
The LCD here is 6, which is the product of 3 and 2. Converting the fractions to denominator 6, we get:
R = -4 4/6 - 3 3/6, or
R = -7 - 7/6, or R = -7 - 1 1/6, or -8 1/6

A reflection about the x axis, about y=0, is the mapping (x',y')=(x,-y) so

A dilation of 2 is the mapping (x'',y'')=(2x', 2y')
So




We can rewrite that without the primes and combine the powers of 2.

Let's graph these and see if we're close,
Plot y= (1/4)^x, y= - (1/4)^{x}, y = - 2^{1-x}
Area of part 1:A1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2Area of part 2:A2=length*width=(8+2)*1=10 ft2Area of part 3:A3=length*width=8*2=16 ft2
Total shaded area : A1+A2+A3=41 ft2Total area of the reactangle : A=16*8=128 ft2Total area of the nonshaded region : 128-41=87 ft2