Solve the Problem $| x + 4 | + | y + 5 | \leq 7$

question 104

Multiple Choice

Solve the problem.
-A weak earthquake occurred roughly 4 km south and 5 km west of the center of Shelbyville. The quake could be felt 7 km away. Suppose the origin of the map is placed at the center of Shelbyville With the positive x-axis pointing east and the positive y-axis pointing north. Write an inequality that Describes the points on the map for which the earthquake could be felt, and determine whether the Quake could be felt at the center of Shelbyville.

• A) \(| x + 4 | + | y + 5 | \leq 7\); No, the quake was \(9 \mathrm {~km}\) from the center of Shelbyville.
• B) \(( x + 4 ) ^ { 2 } + ( y + 5 ) ^ { 2 } \leq 49 ;\) No, the quake was \(9 \mathrm {~km}\) from the center of Shelbyville.
• C) \(( x + 4 ) ^ { 2 } + ( y + 5 ) ^ { 2 } \leq 49\); Yes, the quake was \(6.4 \mathrm {~km}\) from the center of Shelbyville.
• D) \(| x + 4 | + | y + 5 | \leq 7 ; \mathrm { Yes }\), the quake was \(6.4 \mathrm {~km}\) from the center of Shelbyville.

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Definitions:

Psychodynamically Oriented

Refers to psychological approaches that emphasize unconscious processes and childhood experiences in understanding and treating mental disorders.

States Of Consciousness

Refers to the different levels of awareness of one's environment and oneself, ranging from full alertness and wakefulness to various stages of sleep and unconsciousness.

Personality Type

A classification that reflects the characteristic patterns of thoughts, feelings, and behaviors that make a person unique.

Fixated Stage

A concept in Freudian psychoanalysis that suggests a person may be stuck at an early developmental stage due to unresolved conflicts.