Solve the Problem $\frac { x } { 7 } + \frac { y } { 6 } = 1$

question 40

Multiple Choice

Solve the problem.
-Find the centroid of the region cut from the first quadrant by the line $\frac { x } { 7 } + \frac { y } { 6 } = 1$ .

• A) \(\bar { x } = \frac { 7 } { 3 } , \bar { y } = 2\)
• B) \(\bar { x } = \frac { 3 } { 2 } , \bar { y } = \frac { 7 } { 4 }\)
• C) \(\bar { x } = 2 , \bar { y } = \frac { 7 } { 3 }\)
• D) \(\bar { x } = \frac { 7 } { 4 } , \bar { y } = \frac { 3 } { 2 }\)

---

Definitions:

Religious Activity

The engagement in practices, rituals, or ceremonies associated with a particular faith or belief system.

Well-being

A state of comfort, health, or happiness; can refer to both physical and psychological aspects of a person's condition.

Elderly Black People

A demographic group defined by age and race, often facing unique social and health challenges.

Religion

An organized system of beliefs, practices, and symbols designed to facilitate closeness to the sacred or divine.