Three consecutive integers have a sum of -42. Write and solve an equation to find the three integers.​

x + ( x + 1 ) + ( x + 2 ) = -42

Opening the brackets and simplifying :

x + x + 1 + x + 2 = -42

3x + 3 = -42

Now , solving equation :

-15 , -14 and -13 are the three consecutive integers.

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what is the image?

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2