Answer:
x = 2
Step-by-step explanation:
The parallel lines divide the transversals into proportional segments, that is
=
( cross- multiply )
9(x + 4) = 54 ( divide both sides by 9 )
x + 4 = 6 ( subtract 4 from both sides )
x = 2
Answer:
The nonzero value of c will be:
Step-by-step explanation:
Given the function


as

so

switching the sides

subtract c from both sides



Using the zero factor principle


so, the solutions to the quadratic equations are:

Therefore, a nonzero value of c will be:
Answer:
Elga is 32 years old.
Step-by-step explanation:
Let Alvin's age = A
Let Elga's age = E
Alvin is 10 years younger than Elga, so A = E - 10
The sum of their ages is 54, so A + E = 54
Replace the A in the second equation with E - 10, then solve for E.
A + E = 54 becomes (E - 10) + E = 54
Combine like terms
2E - 10 = 54
Add 10 to both sides
2E = 64
Divide both sides by 2
E = 32