After the party, 3 1⁄4 pecan pies remained. The next day, Edward's family ate 1 1⁄4 of a pie. How many pecan pies were left?
2 answers:
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Answer:
(A)T(–2, 4) ry-axis
Step-by-step explanation:
The graph showing triangles MNO and M"N"O" is attached below.
From the graph, the coordinates are:
- M(5,-4),N(3,-2) and O(1,-3)
- M"(-3,0), N"(-1,2) and O"(1,1)
When we <u>transform triangle MNO by (-2,4),</u> we obtain:
M'(3,0), N'(1,2) and O'(-1,1)
Next, we reflect M'N'O' the y-axis.
Note: When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite.
Therefore:
- Reflection of M'N'O' accross the y-axis gives: M"(-3,0), N"(-1,2) and O"(1,1).
Therefore, the sequence of transformations could be used to map triangle MNO onto M"N"O" is T(–2, 4) ry-axis.
The correct option is A.
Answer:
32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243
Step-by-step explanation:
(2x + 3)⁵
₅C₀ (2x)⁵ (3)⁰ + ₅C₁ (2x)⁴ (3)¹ + ₅C₂ (2x)³ (3)² + ₅C₃ (2x)² (3)³ + ₅C₄ (2x)¹ (3)⁴ + ₅C₅ (2x)⁰ (3)⁵
Use Pascal's triangle to find nCr.
1 (2x)⁵ (3)⁰ + 5 (2x)⁴ (3)¹ + 10 (2x)³ (3)² + 10 (2x)² (3)³ + 5 (2x)¹ (3)⁴ + 1 (2x)⁰ (3)⁵
(2x)⁵ + 15 (2x)⁴ + 90 (2x)³ + 270 (2x)² + 405 (2x)¹ + 243
32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243