Answer:
g(x) = x^2 -6x +9
Step-by-step explanation:
A function f(x) translated right h units and up k units will become ...
g(x) = f(x -h) +k
You want the function f(x) = x^2 to be translated right h=3 units, so it will become ...
g(x) = f(x -3) = (x -3)^2
g(x) = x^2 -6x +9
Answer:
0.
Step-by-step explanation:
same value negative plus positive is 0
Answer:
x= -2
x= -3
Step-by-step explanation:
Answer:
13 and 32
Step-by-step explanation:
let one number be x
Then the other number is x + 19 , then
x + x + 19 = 45
2x + 19 = 45 ( subtract 19 from both sides )
2x = 26 ( divide both sides by 2 )
x = 13
The 2 numbers are 13 and 13 + 19 = 32
Answer:
Diameter = 19.33
Step-by-step explanation:
Imaging a radius line from O to the endpoints of the 7. call this line R.
Label the part of the vertical line from O to the 90 degree intersection y.
Now you have a right triangle.
Using the Pythagorean theorem:
R² = 7² + y²
also
y = R - 3
substitute for y:
R² = 49 + (R-3)²
R² = 49 + R² - 6R + 9
simplify:
0 = 58 - 6R
6R = 58
R = 9.6667
Diameter = 2(9.6667) = 19.33