In the diagram, BC¯¯¯¯¯∥DE¯¯¯¯¯. What is CE?

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A triangle with vertices labeled as A, B, and C. Side B C is base. Sides A B and A C contain points D and E, respectively. A line segment is drawn from D to E. Side A D is labeled 2 meters. Side D B is labeled 10 meters. Side A E is labeled 3 meters. Base B C and line segment D E are marked with arrows pointing the same direction.

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

answer: the four apples you took away.

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