Answer:

Step-by-step explanation:
<u><em>Distance between two points:</em></u> Distance between two pints
is given by

Distance between 

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:
C
Step-by-step explanation:
Since g(x) =f(x-horizontal shift) - vertical shift.
So it will shift on the x-axis - 6 units so 6 units to the left and on the y-axis - 3 units so 3 units down.
Answer:
The awnser is 2 and 3!!!!!!