Answer:
x² - 3x + 5 - [24÷(x+3)]
Step-by-step explanation:
1. Expand (x³ + 2x - 6x - 9)
= x³ - 4x - 9
2. Divide [x³ - 4x - 9 by x+3]
= x² + [(-3x^2-4x-9) ÷ (x+3)]
3. Divide [(-3x^2-4x-9) by (x+3)]
= -3x + [(5x-9) ÷ (x+3)]
x² - 3x + [(5x-9) ÷ (x+3)]
4. Divide [(5x-9) ÷ (x+3)]
= 5 + [(-24) ÷ (x+3)]
x² - 3x + 5 + [(-24) ÷ (x+3)]
= x² - 3x + 5 - [24 ÷ (x+3)]
Answer:
(13, 9)
Step-by-step explanation:
Make an equation for the line.
y = 0.5x + b
5 = -3.5 + b
b = 8.5
y = 0.5x + 8.5
Plug them into the equation.
(-13, 9) 9 ≠ -6.5 + 8.5
(-9, 13) 13 ≠ -4.5 + 8.5
(9, 13) 13 = 6.5 + 8.5
(13, 9) 13 ≠ 4.5 + 8.5
Step-by-step explanation:
43. P, U
44. 7
53. Airplanes can be traveling on different planes, one plane above the other. Cars on the same intersection are on the same plane.
55
a. You can choose (4 * 3 * 2)/(3 * 2) = 4 groups of 3 points in which order does not matter.
One of those combinations does not have K, so 3 combinations of the 4 have K.
p = 3/4
b. p = 1 since any three points are always coplanar.
