The matrix
has eigenvalues such that
for all values of , so we need to have in order for to be real-valued. This happens for
where is any integer, and over the given interval we have and .
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Algebra II</u>
- Distance Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-1, -13)
Point (-1, 21)
<u>Step 2: Find distance </u><em><u>d</u></em>
- Substitute in points [DF]:
- (Parenthesis) Add:
- [√Radical] Simplify:
- [√Radical] Evaluate:
Answer:
Area ABCDE = 82 cm²
Step-by-step explanation:
ABCDE = ΔEAD + ΔDAC + ΔCAB
ABCDE = (12×5)/2 + (12×6)/2 + (8×4)/2 = 30+36+16 = 82
Answer:
Dave:
$20 + 8% of 20 = $21.6
Dave payed a total of $21.6 for the basketball.
Mel
$28 + 8% of 28 = $30.2
Mel payed a total of $30.2 for the football.
$30.2 - $21.6 = $8.6
The difference is $8.6.
The slope of the line is the quotient when the negative of the numerical coefficient of x is divided by the numerical coefficient of y. The slope of the first line is 2/3 and that of the second line is -4/-6 or 2/3. Thus, the answer is letter C.