$300 a month should be correct
The fundamental theorem of algebra states that a polynomial equation of nth degree has n roots (distinct or coincident).
So if one root is already known (5+3i), then there is exact one other root for a total of 2 for a quadratic equation (degree 2).
Furthermore, assuming the coefficients of the quadratic equation are real, then any complex root is accompanied by its complex conjugate, meaning that the sum of the two roots is a real number.
For example, the complex conjugate of 5+3i is 5-3i, because 5+3i + 5-3i = 10, a real number.
So the (only) other root is 5-3i, namely the complex conjugate of the given root.
The graph will be such that it will not touch or cross the x-axis, since the roots are complex.
Answer:
The measure of ∠O is 97.2° to the nearest tenth
Step-by-step explanation:
To solve this question, we will use the cosine rule
In Δ OPQ
Side o is opposite to ∠O
Side p is opposite to ∠P
Side q is opposite to ∠Q
By using the cosine rule
∵ o² = p² + q² - 2(p)(q)cos∠O
∵ o = 6.6 inches
∵ p = 2.1 inches
∵ q = 6 inches
→ Substitute them in the rule above
∴ (6.6)² = (2.1)² + (6)² - 2(2.1)(6)cos∠O
∴ 43.56 = 4.41 + 36 - 25.2cos∠O
→ Add the like terms in the right side
∴ 43.56 = 40.41 - 25.2cos∠O
→ Subtract 40.41 from both sides
∵ 3.15 = -25.2cos∠O
→ Divide both sides by -25.2 to find cos∠O
∴ -0.125 = cos∠O
→ Use your calculator to find ∠O
∵ m∠O =
∴ m∠O = 97.18075578
→ Round it to the nearest tenth ⇒ 2d.p.
∴ m∠O = 97.2°
Answer:
<h2>3240 it's not a perfect cube.</h2><h2>The smallest number should 3240 be multiplied so that the product is a perfect cube is 15² = 225.</h2>
Step-by-step explanation:
3240 is a perfect cube if 3240 = n³ (n ∈ N).
Use the Prime Factorization:
Used:
Answer:
15 rooms
Step-by-step explanation:
18/6 = 3 so multiply 3 times 5 and that equals 15!