xy = -1
x + y = 2
x + y = -2
- x - x
y = -x - 2
xy = -1
x(-x + 2) = -1
x(-x) + x(2) = -1
-x² + 2x = -1
+ 1 + 1
-x² + 2x + 1 = 0
-1(x²) - 1(-2x) - 1(-1) = 0
-1(x² - 2x - 1) = 0
-1 -1
x² - 2x - 1 = 0
x = -(-2) ± √((-2)² - 4(1)(-1))
2(1)
x = 2 ± √(4 - 4(-1))
2
x = 2 ± √(4 + 4)
2
x = 2 ± √(8)
2
x = 2 ± 2√(2)
2
x = 1 ± √(2)
x + y = 2
(1 ± √(2)) + y = 2
- (1 ± √(2)) - (1 ± √(2))
y = 1 ± √(2)
(x, y) = (1 ± √(2), 1 ± √(2))
The numbers that multiply to -1 and add to 2 are 1 ± √(2).
Answer:
56 times
Step-by-step explanation:
P(red & red) = 0.5×0.6 = 0.3
Expected no. = no. Of trials × p
No. of trials: 84/0.3 = 280
P(blue & blue) = 0.5×0.4 = 0.2
Expected no. = 280 × 0.2
= 56
Answer:
1 + 2 a^n
Step-by-step explanation:
Answer:
37.68 ft^3
Step-by-step explanation:
The parameters used in describing a cone is radius and height
Hence
Radius= 3ft
Height = 2 ft
The volume of a cone is given as

substitute

Hence the volume is 37.68 ft^3
Y = -1/2x - 1
Tell me if you need explanation