Answers:
Figure a has been translated only (translated 9 units to the right)
Figure b has been reflected over the x axis
Figure c has been rotated and translated
=======================================
Explanation:
Pick on a point like (-7,4) and note how it moves 9 units to the right to get to (2,4). All points on the upper left figure follow this same translation rule. This rules in figure a.
Figure b is a result of reflecting over the x axis. The rule used is . The x coordinate stays the same while the y coordinate flips from positive to negative. So for example, (-7,4) flips to (-7,-4)
Figure c is a combination of rotating and translating the original figure. It looks like a 90 counterclockwise rotation has been applied followed by a translation. The actual translation and rotation rules used will depend on how you define the center of rotation.
We are trying to find , so let's simply substitute in the information we know for our variables and simplify:
- Apply the Distributive Property
- Simplify the last term through FOIL
Our answer is 3x³ + x² + 6x - 9.
The correct reason for number 3 is the Alternate Interior Angle.
Alternate Interior Angles are a pair of angles on the alternate sides of a transversal and they are on the interior of two crossed lines. Another example of a pair of Alternate Interior Angles are angles ∠4 and ∠5.
Answer:125
Step-by-step explanation:
Subtract
from both sides to get SA -
=
.
Divide both sides by
to get (SA -
)/
= l