Answer:

Step-by-step explanation:
![-4x^2+11x-6=-(4x^2-11x+6)=-(4x^2-8x-3x+6)\\\\=-\left[4x(x-2)-3(x-2)]=-(x-2)(4x-3)=(-4x+3)(x-2)](https://tex.z-dn.net/?f=-4x%5E2%2B11x-6%3D-%284x%5E2-11x%2B6%29%3D-%284x%5E2-8x-3x%2B6%29%5C%5C%5C%5C%3D-%5Cleft%5B4x%28x-2%29-3%28x-2%29%5D%3D-%28x-2%29%284x-3%29%3D%28-4x%2B3%29%28x-2%29)
Answer:
16.7 cm
Step-by-step explanation:
Area of a triangle = ½*base*height
Area of the shaded region = area of triangle = 100.2 cm³
base = w
height = 12 cm
Plug in the value into the equation:
½*w*12 = 100.2
6w = 100.2
w = 100.2/6
w = 16.7 cm
When you multiply or divide a whole number by a power of ten just add the zeros. 5 to the 100000 power is 500000. Five zeros. Hope this helps. Just a little trick and pattern I noticed which helps. :)
Find the GCD (or HCF) of numerator and denominator
GCD of 18 and 20 is 2
Divide both the numerator and denominator by the GCD
18 ÷ 2
-----------
20 ÷ 2
Reduced fraction:
9
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10