If you simplified a two-equation system and all variables were eliminated, two outcomes are possible.
If the final equation is a true equation, like 3=3, then the system has an <em>infinite number of solutions </em> (the equations graph the same line, and all points appear on both graphs)
If the final solution is a mathematically false equation, like 0=-8, the system has no solution. The lines are parallel and never intersect (have a solution)
Answer:
1/4 cups of juice
Step-by-step explanation:
1 cup of juice --- 4 cups of water
x cups of juice --- 1 cup of water
1/x = 4/1
1/x = 4
x = 1/4
Here,
Base = x
Height = x.
Area of right angled triangle = 49 sq. in
Area of a right angled triangle = ( 1/2 ) * Base * height
49 sq.in = ( 1/2 ) * x * x
49 * 2 sq. in = x^2
x =√ ( 49 sq. in * 2 )
x = 7 in.√2
x = 7( 1.41 ) in.
x = 9.87 in. ( 9.9 in. )
The required answer is option ( c ) 9.9 in.
