That is the distributive property
Step-by-step explanation:
1. 10s2 + 10s2 - 13st = 20s2-13st
2. 13st + - 2st - t2 = 11st - t2
3. x2+ x2 + x3= 2x2 + x3
4. 6 x - 6 x + 2=X+2
5. 24x - 3s - 4t=24x - 3s - 4t
6. 86 + 86x - 1=85+86x
7. 4x + 3x - 2 =7x - 2
8. 7s - 4s + 3s =6s
9. 12 +11x - 10 x = 12+x
10. 12x + 24 x - 3 x - 4 =33x -4
11. 16t + 8t - 12t =12t
12. 17g + 19g - 2g +g =35g
13. 16 + 16 -16 + 16x =16+16x
14. 4s - 3s + 3s =4s
15. 12t - 11t + t =2t
The side length is about 17.916
<h3>
Answer: (1,3)</h3>
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Explanation:
Note that the two shaded regions overlap to form the darker shaded region. The point (1,1) is only in the green region, but not in the blue region. It needs to be in both regions for it to be a solution to the system. In contrast, the point (1,3) is on the boundary of the blue region and in the green region as well. It's a solution point because of this.
Points on the boundary are included because of the "or equal to" as part of the inequality sign. Hence the solid boundary lines rather than dashed boundary lines.
The solution (1,3) means that x = 1 and y = 3 pair up together. It says that Cody can buy x = 1 hotdog and y = 3 packs of peanuts so that he has at least 4 snacks, and he stays within the $7 budget.
Going back to (x,y) = (1,1) for a moment, this isn't a solution because x+y = 1+1 = 2 is not 4 or larger. In other words, he only buys 2 snacks here instead of 4 or more.
Answer:
C. (1, –2); minimum
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The vertex is the turning point of the graph.
This is at (- 1, - 2)
The graph changes from decreasing to increasing at (- 1, - 2)
Hence is a minimum at (- 1, - 2)