Answer:
The answer is 42
Step-by-step explanation:
6²= 36
3(3)=9
36+9×2/3 = 42
Simplifying
b2 + -4b + -14 = 0
Reorder the terms:
-14 + -4b + b2 = 0
Solving
-14 + -4b + b2 = 0
Solving for variable 'b'.
Begin completing the square.
Move the constant term to the right:
Add '14' to each side of the equation.
-14 + -4b + 14 + b2 = 0 + 14
Reorder the terms:
-14 + 14 + -4b + b2 = 0 + 14
Combine like terms: -14 + 14 = 0
0 + -4b + b2 = 0 + 14
-4b + b2 = 0 + 14
Combine like terms: 0 + 14 = 14
-4b + b2 = 14
The b term is -4b. Take half its coefficient (-2).
Square it (4) and add it to both sides.
Add '4' to each side of the equation.
-4b + 4 + b2 = 14 + 4
Reorder the terms:
4 + -4b + b2 = 14 + 4
Combine like terms: 14 + 4 = 18
4 + -4b + b2 = 18
Factor a perfect square on the left side:
(b + -2)(b + -2) = 18
Calculate the square root of the right side: 4.242640687
Break this problem into two subproblems by setting
(b + -2) equal to 4.242640687 and -4.242640687. b + -2 = 4.242640687
Simplifying
b + -2 = 4.242640687
Reorder the terms:
-2 + b = 4.242640687
Solving
-2 + b = 4.242640687
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + b = 4.242640687 + 2
Combine like terms: -2 + 2 = 0
0 + b = 4.242640687 + 2
b = 4.242640687 + 2
Combine like terms: 4.242640687 + 2 = 6.242640687
b = 6.242640687
Simplifying
B = 6.242640687
Subproblem 2
b + -2 = -4.242640687
Simplifying
b + -2 = -4.242640687
Reorder the terms:
-2 + b = -4.242640687
Solving
-2 + b = -4.242640687
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + b = -4.242640687 + 2
Combine like terms: -2 + 2 = 0
0 + b = -4.242640687 + 2
b = -4.242640687 + 2
Combine like terms: -4.242640687 + 2 = -2.242640687
b = -2.242640687
Simplifying
b = -2.242640687
Answer:
Yes you did
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
If 2 lines are perpendicular then the product of their slopes equals - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Consider the given equations
3x - 4y = 12 ( subtract 3x from both sides )
- 4y = - 3x + 12 ( divide terms by - 4 )
y = 
x - 3 ← in slope- intercept form
with slope m =
3y = 12 - 4x = - 4x + 12 ( divide terms by 3 )
y = - 
x + 4 ← in slope- intercept form
with slope m = -
Then
× - = - 1
Since the product of their slopes = - 1 then the lines are perpendicular
