If the pentagon is rotated 360° about the origin, that means the new figure will be exactly in the same position as the original image, because a rotation of 360° about the origin doesn't change the figure position or orientation.
So, if the vertex was located at (10, -8), the new figure will also have a vertex located at (10, -8).
Therefore the correct option is the fourth one.
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
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Answer:
f = -15
Step-by-step explanation:
Hey there!
3^3 * x^2 - 25 / 5
= 3^3 * 0.6^2 - 25 / 5
= 3 * 3 * 3 * 0.6 * 0.6 - 25 / 5
= 9 * 3 * 0.6 * 0.6 - 25 / 5
= 27 * 0.36 - 25 / 5
= 9.72 - 25 / 5
= 9.72 - 5
= 4.72
Therefore, your answer is: 4.72
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
can be rewritten as
, finding the value of c so that x=(+-)12 solves this equation it means to find the value of c so that
.
, we must find c so that
.
, c=36.