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
Find the mean. 217, 230, 214, 227, 196, 235, 220, 224, 208, 209, 191, 205, 184, 214, 219, 208, 227, 194, 228, 186, 201, 239
xeze [42]
Answer:
212.54
Step-by-step explanation:
To find the mean, we take the sum of all numbers and divide by the total amount in the set
Total sum: 4676
Numbers in the set: 22
4676 divided by 22 = approx. 212.54
2 semi circles form one full circle with a circumference of 68pi = 213.52
Rectangle has a perimeter of (68+108)*2 = 353
Total perimeter = 566.52m
Answer:
45
Step-by-step explanation:
180 - 135 = 45
The measure of angle 2 is 45.
Answer:
C
Step-by-step explanation:
General Form of an equation of a line is given by: 
Where,
m is the slope, and
b is the y-intercept (point where line cuts the y-axis)
Also, parallel lines have equal slopes.
Equation of first plane is given as 
Comparing this with general form of a line, we see that 3.67 is the slope and 4.81 is the y-intercept.
<em>The </em><em>second plane </em><em>is going </em><em>parallel</em><em> to this. So slope should be same. Hence </em><em>second plane has slope of 3.67. </em><em>We can write:</em>
<em>
</em>
<u>To find the equation of second plane</u>, we need to solve for c. Also, a point given for second plane is
, substituting these values into the equation we got, we get the value of c:

We already know m and now we know c, so we can write final equation as:

Answer choice C is right.