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Sagot :
Answer:
A
Step-by-step explanation:
The area of figure=Area of rectangle+Area of triangle
Area of figure=(x+2)(x-3)+1/2*(x)*(x+2)
Area of figure=x^2-x-6+0.5*x^2+x
Area of figure=(3/2)x^2-6
Answer:
A, M(x)=3/2 (x^2-6)
Step-by-step explanation:
Let's calculate the area of the figure 1st,
Area of figure=Area of triangle+Area of rectangle
=1/2 b*h + l*b = 1/2 (x+2)x + (x+2)(x-3)
=(x^2+2x)/2+x^2 - x - 6 =(x^2+2x+2x^2 - 2x -12)/2
=3x^2-12/2=3/2(x^2-6)
In the options,
M(x)=3/2 (x^2-6) is given, so it best represents the area.
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