One solution
The two (or more) equations would only intersect once
No solution
Lines never intersect
The lines are parallel
Infinite solutions
The lines are the exact same
That’s all the characteristics I know
Answer:
Option A
Step-by-step explanation:
Area of the composite figure = Area of ΔABH + Area of BCGH + Area of ΔDEF
Area of ΔABH = 
= 
= 9 in²
Area of the trapezoid = 
= 
= 25 in²
Area of ΔDEF = 
= 24 in²
Therefore, area of the given figure = 9 + 25 + 24
= 58 in²
Option A will be the correct option.
Answer:
Her son is 10 years old.
Step-by-step explanation:
Let son be x
Ellie is 4x
In 5 years time: Her son = x + 5
Ellie = 4x + 5
Given that she will then be 3 times as old as her son: 4x + 5 = 3(x + 5)
Solve x: 4x + 5 = 3(x + 5) ,4x + 5 = 3x + 15
x = 10
Answer:
y/2
Step-by-step explanation:
x+3=y+2
------ --------
3 2
Using cross products
2(x+3) = 3(y+2)
Distribute
2x+6 = 3y+6
Subtract 6 from each side
2x+6-6 = 3y+6-6
2x= 3y
Divide each side by 2
2x/2 = 3y/2
x = 3/2 y
We want to find x/3
Divide each side by 3
x/3 = 3/2 y * 1/3
x/3 = 1/2 y
