Answer:
3 units to the right
Step-by-step explanation:
Given f(x) then f(x + a) represents a horizontal translation of f(x)
• If a > 0 then a shift of a units to the left
• If a < 0 then a shift of a units to the right
Thus
g(x) = (x - 3)² is f(x) shifted to the right by 3 units
Answer:
34
Step-by-step explanation:
1. if to guess the Caleb's age is 'x' years and Linda's age is 'y' years now, then
2. according to the 'sum of the ages of Caleb and Linda is 55 years' it may be written: x+y=55 - the first equation of the system;
3. according to the condition '8 years ago, Caleb's age was 2 times Linda's age' it may be written: (x-8)(y-8)=2 - the second equation of the system;
4. if to make up the system of two equation and calculate the values of 'x' and 'y':
5. if x=34, then Caleb is 34 old now.
-4.5 is your answer, hope this helped
Answer:
The shortest distance to return starting point = 9.4 miles.
Step-by-step explanation:
Applying pythagoras theoram
The shortest distance = 
= 9.43
I am attaching the image to understand the equation.
Area = π x r^2
Area = π x 12^2
Area = 144π or 452.16 square units. ( using 3.14 for PI)
Circumference = 2*PI *radius
Circumference = 12π or 37.68 units ( using 3.14 for PI)
