$$\text { Consider the polar equation } r = \frac { 7 } { 5 + 5 \cos \theta } \text {. }$$

question 106

Essay

$$\text { Consider the polar equation } r = \frac { 7 } { 5 + 5 \cos \theta } \text {. }$$ (a) Find the eccentricity and an equation of the directrix of the conic.
(b) Identify the conic.
(c) Sketch the curve.

---

Definitions:

Subcultures of Violence

Groups within a larger society that hold values and norms endorsing the use of violence as a means to resolve disputes or achieve status.

Inner-City Gang-Related

Refers to phenomena, activities, or issues specifically connected to street gangs within urban (inner-city) areas, often involving crime, violence, and community impact.

Hostile Attribution Bias

The tendency to attribute hostile intent to others’ actions, even when others’ intentions are innocent.

Aggressive Behaviors

Actions intended to cause harm or discomfort to others, often as a means of asserting power or expressing frustration.