Answer:
m = 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Equality Properties
- Combining Like Terms
<u>Geometry</u>
- Complementary Angles - Angles that add up to 90°
Step-by-step explanation:
<u>Step 1: Set Up Equation</u>
<em>The 2 angles must add up to 90°.</em>
(8m + 4)° + 38° = 90°
<u>Step 2: Solve for </u><em><u>m</u></em>
- Combine like terms: 8m + 42 = 90
- Isolate <em>m</em> term: 8m = 48
- Isolate <em>m</em>: m = 6
Answer:
24 ounce package ( cheapest )
let the number of sides be n.
Thus,
(n-2)x180=330
n-2=1.83
n=3.83
Rounding off we have, n=4.
Thus the total number of side is 4.
Answer:
breach of the duty of loyalty
Step-by-step explanation:
The deal with Quaint Village Mall was not for her personally but for her firm so for her to make a secret profit and take advantage of such an opportunity is a breach of the duty of loyalty which she is liable of.
If an employee makes a decision for the corporation that profits both him and the corporation. The duty of loyalty is breached when the employee, his or her interest in front of that of the corporation.
Answer:
See explanation
Step-by-step explanation:
The place to begin in attempting to solve a quadratic equation is to try to factorize it. If it can not be factorized, then look at the side of equation that contains the variable (x,b,m,n and so on). If that side is a perfect square, try to take square root of both sides.
Also, if the coefficient of the squared term in the equation is 1 and the coefficient of the middle term bearing the variable is an even number, then you can attempt to use completing the square method. Formula method can be adopted as a last resort.
x^2 -4x + 4 =0 can be solved by factorization
X(x-2) - 2(x-2) =0
Hence;
(x-2) (x-2) =0
x= 2 (twice)
(2x-2)^2 = 4 can be solved by taking square root
√[(2x-2)^2] = √4
2x-2 = 2
x= ±2
x^2 + 6x - 11 = 0 can be solved by completing the square
(x + 3)^2 = 11 + 3^2
(x + 3)^2 = 20 taking square root of both sides
x + 3 = ±√20
x + 3 = ±2√5
x= -3 ±2√5
2x^2 - x + 5 = 0 can be solved by formula method
Using
x= -b±√b^2 - 4ac/2a
a= 2, b = -1, c= 5
x= 1 ± √1 - 40/4
x= 1 ± √-39/4
x= 1 ± 39i/4
