One flag is a translation image of the other.
This is as one of the flags is a duplicate of the other which is moved up / down by a certain distance based on which flag you are basing it on.
For example, if you are looking at the top flag. It appears as if that flag was duplicated and pulled down to show the bottom flag. Therefore, one flag is a translation image of the other.
It isn't that one flag is a rotation image of the other as both flags are vertical and aren't rotated in any direction. Therefore, it isn't that one flag is a rotation image of the other.
Answer:
-3
Step-by-step explanation:
I like to start by combining like terms on this one add the negatives.
3 + (-4 - 2)
3 - 6
-3
Hope this helps.
From yours truly to you,
Que.
For starters,
tan(2θ) = sin(2θ) / cos(2θ)
and we can expand the sine and cosine using the double angle formulas,
sin(2θ) = 2 sin(θ) cos(θ)
cos(2θ) = 1 - 2sin^2(θ)
To find sin(2θ), use the Pythagorean identity to compute cos(θ). With θ between 0 and π/2, we know cos(θ) > 0, so
cos^2(θ) + sin^2(θ) = 1
==> cos(θ) = √(1 - sin^2(θ)) = 4/5
We already know sin(θ), so we can plug everything in:
sin(2θ) = 2 * 3/5 * 4/5 = 24/25
cos(2θ) = 1 - 2 * (3/5)^2 = 7/25
==> tan(2θ) = (24/25) / (7/25) = 24/7
Answer:
6 nickles and 10 dimes
Step-by-step explanation:
In the expression, there are 3 terms.
3x and 4x are like terms because the variables are identical.
Also, we have a constant term which is -3.