Someone help with this please! Big points!

Mathematics

2 answers:

Marianna [84]4 years ago

4 0

I think A. is correct

Nat2105 [25]4 years ago

3 0

$5\sqrt{72} =5\sqrt{36\cdot2}=5\sqrt{6^{2}\cdot2}=5 \cdot6\sqrt{2} =30\sqrt{2}$

Answer A.

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Write a polynomial with rational coefficients having roots 3,3+i and 3-i

Elena L [17]

Part 1: If the roots of a polynomial are a, b, and c, then the factors can be written in the form (x - a), (x - b), and (x - c). In this case, we have (x - 3), (x - [3 + i]), and (x - [3 - i]). The three factors are (x - 3)(x - 3 - i)(x - 3 + i).

Part 2: The two factors with complex terms are (x - 3 - i)(x - 3 + i), and multiplying these terms as a difference of two squares can give:
(x - 3)^2 - i^2 = x^2 - 6x + 9 - (-1) = x^2 - 6x + 10

Part 3: We now multiply (x^2 - 6x + 10) by the remaining factor of (x - 3). This results in the cubic expression:
(x^2 - 6x + 10)(x - 3)
= x^3 - 3x^2 - 6x^2 + 18x + 10x - 30
= x^3 - 9x^2 + 28x - 30

3 0

3 years ago

Help pls :) 10 points

Alexeev081 [22]

Answer:

sq root of 64 = 8, sq root of 81 = 9, 8 and 9

Step-by-step explanation:

Since Sq root of 64 = 8 and Sq root of 81 = 9 it is known that sq root of 66 is between 8 and 9

7 0

3 years ago

A farmer has 300 ft of fence to enclose 2 adjacent rectangular pens bordering his barn. Find the maximum area he can close.

Margarita [4]

Answer:

Width of 37.5 feet and length of 50 feet will maximize the area.

Step-by-step explanation:

Let w represent width and l represent length of the pen.

We have been given that a farmer has 300 ft of fence to enclose 2 adjacent rectangular pens bordering his barn. We are asked to find the dimensions that will maximize the area.

We can see from the attachment that the perimeter of the pens would be $4w+3l$ .