Parallel lines have the same slope. So if a line has a slope of 2, a line parallel to it also has a slope of 2.
The function g(x) is a translation to the right of 3 units and up 2 units of f(x), so the correct option is B.
<h3>Which statement is true regarding the vertical and horizontal translations from f(x) to g(x)?</h3>
For a given function f(x), we can write a vertical translation of n units as:
g(x) = f(x) + n
- If n < 0, the translation is downwards.
- if n > 0, the translation is upwards.
And a horizontal translation of n units as:
g(x) = f(x + n).
- if n > 0, the translation is to the left.
- if n < 0, the translation is to the right.
Here we have:
f(x) = (2/3)*x
g(x) = (2/3)*(x - 3) + 2
By comparing it with the general translations, we conclude that we have a traslation of 3 units to the right and 2 units up.
So the correct option is B.
If you want to learn more about translations:
brainly.com/question/24850937
#SPJ1
The answer is 16in.
Let the radius and height of cylinder A be Ra and Hb respectively and the radius and height of cylinder B be Rb and Hb respectively.
Using similar shapes:
Ra/Ha= Rb/Hb
5.6/Ha=1.4/4
Ha=(4×5.6)/1.4
Ha=22.4/1.4
Ha=16in
150mi/3hrs = 50mph
400/50 = 8 hours
Check:
8hours * 50mi = 400 miles traveled
1/6.
For any given roll on a four-sided die, there is exactly one roll on a six-sided die (1/6 chance) which will sum to 7.
Since it doesn’t matter what you roll on the four-sided die, the chance is always 1/6 with a fair six-sided die.
One interesting result of this is that only the 6-sided die has the be fair for this result to hold. The 4-sided die can be very biased in any direction and the final result will still be 1/6.
