Answer:
Yes, one of the properties of determinants is that they are real numbers (including zero) not matrix. This if the entries of the matrix are real. Determinants can be both positive or negative numbers.
Step-by-step explanation:
So, we know that
4/5n = 2/3
n = 2/3 x 5/4 . . . . .. if fraction is moved to other side of the equation the numerator and denominator will be swithced
n = 10/12 ......................... divide numerator and denominator by 2
n = 5/6
The answer is Fraction 5 over 6 hopes this help
Answer:
m∠B = 69°
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Complementary Angles add up to 90°
Step-by-step explanation:
<u>Step 1: Define</u>
m∠A = (x + 9)°
m∠B = (7x - 15)°
<u>Step 2: Set up equation</u>
m∠A + m∠B = 90°
(x + 9)° + (7x - 15)° = 90°
<u>Step 3: Solve for </u><em><u>x</u></em>
- Combine like terms: 8x - 6 = 90
- Add 6 to both sides: 8x = 96
- Divide both sides by 8: x = 12
<u>Step 4: Find m∠B</u>
- Define: m∠B = (7x - 15)°
- Substitute: m∠B = (7(12) - 15)°
- Multiply: m∠B = (84 - 15)°
- Subtract: m∠B = 69°
This is a simple substitution problem. Clearly the answer here is <span>(2x + 1)(4x2 – 2x + 1). We just have to replace a with 2x and b with 1. The tricky part here is the first term in the second group of terms. 2x is to be squared. Common mistake here is raising the x with 2 and not including the coefficient. </span>