This situation exemplifies the distributive property, where the number outside the parentheses impacts all the terms within through multiplication. Therefore, the resulting action here is:
<span>The 4 should be multiplied by each term found inside the parentheses.
</span>
Response:
option D
Step-by-step reasoning:
Provided in the prompt is a right-angled triangle FGH.
Base of triangle = 12
Height of triangle = 5
Hypotenuse of triangle = 13
To solve the question, we'll apply trigonometric identities.
cos(F) = adjacent / hypotenuse
cos(F) = height / hypotenuse
cos(F) = 5 / 13
Thus, the cosine ratio for angle F is 5 / 13
Given:
Triangle ABC is rotated 90 degrees counterclockwise and then translated vertically by 3 units to form triangle A'B'C'.
To determine:
The transformation rule necessary to map each point (x,y) on Triangle ABC to its equivalent point on Triangle A'B'C'.
Solution:
For a figure that undergoes a 90-degree counterclockwise rotation, the transformation will be defined as:
To translate a figure upward by 3 units, the appropriate transformation will be applied afterwards.
Hence, when triangle ABC experiences a rotation of 90 degrees counterclockwise followed by a translation of 3 units upward to create triangle A'B'C', the transformation rule will be established accordingly.
B is the right choice since each y-value corresponds to a unique x-value. Hope this clarifies!
