Answer:
x < - 4
Step-by-step explanation:
Given
2x - 2 > 4x + 6 ( subtract 2x from both sides )
- 2 > 2x + 6 ( subtract 6 from both sides )
- 8 > 2x ( divide both sides by 2 )
- 4 > x , thus
x < - 4
Answer:
B
Step-by-step explanation:
To evaluate g(7) substitute x = 7 into g(x) , that is
g(7) = 
× 7 - 
= 
- 
= 
→ B
Answer: the length of each of the two equal sides is 25 centimeters
Step-by-step explanation:
Let x represent the length of each of the two equal sides. This means that the total length of the two longer sides is 2x.
Let y represent the length of the third side.
The perimeter of a triangle is expressed as the sum of the length of each side of the triangle. The perimeter of the isosceles triangle is 65 centimeters. It means that
2x + y = 65 - - - - - - - - - 1
Each of the equal sides is 10 centimeters longer than the third side. This means that
x = y + 10
Substituting x = y + 10 into equation 1, it becomes
2(y + 10) + y = 65
2y + 20 + y = 65
2y + y = 65 - 20
3y = 45
y = 45/3 = 15
Substituting y = 15 into x = y + 10, it becomes
x = 15 + 10 = 25
Lets say the base is x and the height is y. The new base would be 1.2x and the new height would be 1.3y
Area of a triangle is base times height divided by 2:
1.2x*1.3y/2 = (1.2*1.3 + x*y)/2 = 1.56xy/2 = 0.78xy = 78% of xy
But a normal area would be 50% of xy
78% - 50% = 38%
ANSWER: 38% increase
Answer should be 1.85 x 10^18
