Combine the three rectangles into one large rectangle.
For the large rectangle:
Length: 5 mm + 12 mm + 13 mm = 30 mm
Width: 15 mm
Lateral area = 30 mm * 15 mm = 450 mm^2
1) 9.1 = -0.2x + 10 | - 10
9.1 - 10 = -0,2x + 10 - 10
-0.9 = -0.2x | × 10
-0.9 × 10 = -0.2x × 10
-9 = -2x | ÷ (-2)
-9 ÷ (-2) = -2x ÷ (-2)
9/2 = x
x = 4.5
2) 10 = 9.1 + 0.2x | - 9.1
10 - 9.1 = 9.1 + 0.2x - 0.9
0.9 = 0.2x | × 10
0.9 × 10 = 0.2x × 10
9 = 2x | ÷ 2
9 ÷ 2 = 2x ÷ 2
9/2 = x
x = 4.5
3) 10 - 0.2x = 9.1 | - 10
-0.2x = -0.9 | × 10
-2x = -9 | ÷ (-2)
x = 9/2
x = 4.5
4) 9.1 - 10 = 0.2x
-0.9 = 0.2x | × 10
-9 = 2x | ÷ 2
-9/2 = x
x = -4.5
Answer: The last one equation gives a different value of x.
Answer:
D. X=-2+sqrt(3) or -2-sqrt(3)
Step-by-step explanation:
Quadratic Equation given:
In order to get rid of the fractions, multiply both sides by 4.
We get:
Completing the square:
