(a) Answer: One solution.
Explanation: two lines that have same slope with opposite sign will necessarily cross each other at a single point, as one is "pointing uphill" and the other "downhill."
(b) Answer: Infinitely many solutions.
Explanation:
2x + 3y = 5.5
4x + 6y = 11 | divide by 2
-->
2x + 3y = 5.5
2x + 3y = 5.5
--> equations are identical.
2x + 3y = 2x + 3y
so any (x,y) will satisfy this equation. This means infinitely many solutions.
(c) Answer: One solution
Explanation:
Continuing the two lines it becomes obvious they will cross at one point (the solution)
(d) Answer: No solution
Explanation: If the two lines are parallel, they will never cross (by definition of "parallel"). Therefore there will be no solution to the corresponding linear system.
Answer:
- Architect
- Cartographer and Photogrammetrist
- Drafter
- Mechanical Engineer
- Surveyor
- Urban and Regional Planner
Step-by-step explanation:
Architects utilize geometric principles while designing layouts for their ongoing projects, which can include buildings, electrical systems, and plumbing architecture.
Cartographers utilize geographic data to create or update maps for use in education, as well as environmental presentations.
Using the same geometric knowledge and applications as architects and engineers, drafters create design plans with the use of computer-aided design (CAD) software.
Mechanical engineers, some of the most diversified engineers, use a multitude of geometric concepts to design mechanical devices, or update existing structures.
Surveyors use geometry to take exact measurements of boundaries for different types of property.
Urban and regional planners rely on the same geometry practices used by surveyors when examining the positives and negatives of introducing new and updated plans for a community.
* Not my own words. This is the website if you need more info;
https://study.com/articles/jobs_that_involve_geometry.html
