Answer:
D. An outline for a paper
Step-by-step explanation:
Think of a function like a template for numbers. You plug in numbers you know and you get a formula that is structured correctly. An outline is just like this because it is a structure for words.
Both <em>Px</em> + <em>Qy</em> = <em>R</em> and <em>Tx</em> + <em>Uy</em> = <em>V</em> have the same solution (2, 9), meaning the point (2, 9) lies on both lines such that <em>x</em> = 2 and <em>y</em> = 9 makes both equations true.
When you add these equations together, you get
(<em>Px</em> + <em>Qy</em>) + (<em>Tx</em> + <em>Uy</em>) = <em>R</em> + <em>V</em>
→ (<em>P</em> + <em>T</em> ) <em>x</em> + (<em>Q</em> + <em>U</em> ) <em>y</em> = <em>R</em> + <em>V</em>
so the first option is equivalent.
When you subtract the first equation from the second, you get
(<em>Tx</em> + <em>Uy</em>) - (<em>Px</em> + <em>Qy</em>) = <em>V</em> - <em>R</em>
→ (<em>T</em> - <em>P</em>) <em>x</em> + (<em>U</em> - <em>Q</em>) <em>y</em> = <em>V</em> - <em>R</em>
so the third option is also equivalent.
Answer:
When a=-2, and b=5, a+b = -2+5, which is equal to 3.
Let me know if this helps!