Answer:
addition property of equality
Step-by-step explanation:
Given the equation 4(x-5) = -12
Expand
4x - 20 = -12
Add 20 to both sides (addition property of equality)
4x-20+20 = -12+20
4x = 8
x = 8/4
x = 2
Hence the value of x is 2
The justification for step 2 is addition property of equality
Answer:
Substitute (x+4)2−16 ( x + 4 ) 2 - 16 for x2+8x x 2 + 8 x in the equation x2+y2+8x−6y=24 x 2 + y 2 + 8 x - 6 y = 24 . (x+4)2−16+y2−6y=24 ( x + 4 ) 2 - 16 + y 2 ...
Step-by-step explanation:
The area of the composite figure is 
Explanation:
From the given figure, we can see that the area of the composite figure = area of the rectangle + area of the triangle.
Area of the rectangle
:
The formula is given by

where
and 
Substituting, we have,

Thus, the area of the rectangle = 
Area of the triangle
:
The formula is given by

where 
and 
Substituting, we have,

Thus, the area of the triangle = 
Area of the composite figure = Area of the rectangle + area of the triangle
Area of the composite figure = 
Thus, the area of the composite figure is 
B
1/4 = 8/3 * x
X = 8/12
X= 2/3