Question 9 (Worth 1 points)
(04.03 HC)
Right triangle ABC is on a coordinate plane. Segment AB is on the line y = 2 and is 6 units long. Point C is on the line x = -3. If the area of AABC is 9 square units, then find a
possible y-coordinate of point C.
05
7
8
Points earned on this question: 0

  5

Step-by-step explanation:

The area is half the product of base and height, so that product must be 2×9=18. Since the base is 6, the height must be 18/6 = 3. Two points on line x=-3 are 3 units from y=2. One of them is y=-1; the other is y=5.

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form