Hannah and anthony are siblings who have ages that are consecutive odd integers. the sum of their ages is 92. which equations could be used to find hannah's age, h, if she is the older sibling?

h = Hannah's age

h - 2 = Anthony's age

Hannah is 47, Anthony is 45

Step-by-step explanation:

Using one variable and an expression with the same variable, you can find the sum of the siblings ages:

h = Hannah's age

h - 2 = Anthony's age

h + (h - 2) = 92

Combine like terms: 2h - 2 = 92

Add '2' to both sides: 2h - 2 + 2 = 92 + 2 or 2h = 94

Divide by 2: 2h/2 = 94/2

Solve for h:  h = 47 years old (Hannah)

h - 2 = 45 years old (Anthony)

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.