Answer:
41 years old.
Step-by-step explanation:
Let x represent age of younger child.
We have been given that a mother has two children whose ages differ by 5 years. So the age of older child would be
.
The sum of the squares of their ages is 97. We can represent this information in an equation as:

Let us solve for x.



Divide both sides by 2:






Since age cannot be negative, therefore, age of younger child is 4 years.
Age of older child would be 
Therefore, the age of older child would be 9 years.
We have been given that the square of the mother's age can be found by writing the squares of the children's ages one after the other as a four-digit number.
Square of 4: 
Square of 9:
.
Square of mother's age: 
To find mother's age, we need to take positive square root of 1681 as:

Therefore, the mother is 41 years old.
Answer:
negative 1 1/3
Step-by-step explanation:
you do y2 minus y1 over x2 minus x1 then you simplify.
you have to plug in the x value to discover the y
y= 4.3 x 1
y = 4.3
so, the ordered pair is (1, 4.3)
<em>hope it helps :)</em>
Answer:
it's liniear
Step-by-step explanation:
since it is going up by the same amount every time