Answer:
Step-by-step explanation:
As you can see from the graph I attached you, the possible solutions in the interval from 0 to 2π are approximately:
So, it's useful to solve the equation too, in order to verify the result:
Taking the inverse sine of both sides:
Using this result we can conclude the solutions in the interval from 0 to 2π are approximately:
Multiply both sides by 6
(b-4)/6*6= b-4
b/2*6= 3b
Rewrite the equation
b-4= 3b
Subtract b from both sides
-4=2b
Divide both sides by 2
-2=b
Final answer: b=-2
Answer:
a) 20 units
b) 2 √10 units
c) 2 √17 units
Step-by-step explanation:
The distance formula is;
D = √(y2-y1)^2 + (x2-x1)^2
a) D = √(-7-9)^2 + (-7-5)^2
D = √256 + 144
D = √400
D = 20
b) D = √(10-8)^2 + (9-2)^2
D = √(2)^2 + 6^2
D = √4 + 36)
D = √40
D = 2 √10 units
c) D = √(1 + 7)^2 + (-8+10)^2
D = √(64 + 4)
D = √68
D = 2 √17 units
Answer:
- -6x² - 6 = -7x - 9
- -6x² + 7x - 6 + 9 = 0
- -6x² + 7x + 3 = 0
- 6x² - 7x - 3 = 0
<u>Discriminant:</u>
- D = (-7)² - 4*6*(-3) = 49 + 72 = 121
<u>Since D > 0, there are 2 real solutions:</u>
- x = (- (-7) ±√121 )/12
- x = (7 ± 11)/12
- x = 1.5, x = -1/3
Answer:
8
Step-by-step explanation:
9 /3 3
-- --
24 /3 8
