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3 years ago

What is the factored form of 6n4 – 24n3 + 18n?

Mathematics

2 answers:

enot [183]3 years ago

8 0

6n^4-24n^3+18n
6n(n^3-4n^2+3)
6n(n-1)(n^2-3n-3)

Rama09 [41]3 years ago

4 0

Answer:

Step-by-step explanation:

Notice to facts:

The numbers 6, -4 and 18 have a common factor: 6.
In all the terms (n⁴, n³, n) are a factor n.

The expression has a common factor 6n. Then,

6n⁴-24n³+18n = 6n(n³-4n²+3).

In order to factor the term n³-4n²+3 we use Ruffini-Horner rule, which gives us that

n³-4n²+3 = (n-1)(n²-3n-3).

Then,

6n⁴-24n³+18n = 6n(n³-4n²+3) = 6n(n-1)(n²-3n-3).

If you don't know the formula for the general solution of second degree equation, you are done. Otherwise, it is only to use it in the quadratic factor.

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Find the equation of a circle with a center at (7,2) and a point on the circle at (2,5)?

monitta

Answer:

$(x-7)^2+(y-2)^2=34$

Step-by-step explanation:

We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).

First, recall that the equation of a circle is given by:

$(x-h)^2+(y-k)^2=r^2$

Where (h, k) is the center and r is the radius.

Since our center is at (7, 2), h = 7 and k = 2. Substitute:

$(x-7)^2+(y-2)^2=r^2$

Next, the since a point on the circle is (2, 5), y = 5 when x = 2. Substitute:

$(2-7)^2+(5-2)^2=r^2$

Solve for r:

$(-5)^2+(3)^2=r^2$

Simplify. Thus:

$25+9=r^2$

Finally, add:

$r^2=34$

We don't need to take the square root of both sides, as we will have the square it again anyways.

Therefore, our equation is:

$(x-7)^2+(y-2)^2=34$

4 0

2 years ago

At the end of a recent year, Ready Maid Cleaning Service, a full-service house and office cleaning service, had total assets

torisob [31]

Answer:

Ready Maid Cleaning Service's liabilities were $2930.

Step-by-step explanation:

At the end of a recent year, Ready Maid Cleaning Service, a full-service house and office cleaning service, had total assets of $ 5,810 and equity of $ 2,880.

Liabilities = assets - equity

So, Liabilities = $5810-2880=2930$ dollars

Hence, Ready Maid Cleaning Service's liabilities were $2930.

3 0

3 years ago

Please be kind and help me on this question. WARNING: only if your good at math thank you

AVprozaik [17]

Short Answer: The first three are absolutely true. Congruency is maintained if all you are doing is shifting the figure 8 spaces away. Since the figures are congruent, their corresponding parts are equal and the statements made are always true. That's the guiding principle.

A is true. See the short answer.

B is True. You have gone 8 units away. The distance between the old G and the new one is 8 units. This is not a congruency property but it is true because it is given. You haven't altered the shape or rotatated it.

C is true by conguency. You have just shifted things 8 units. You have maintained equality and you have maintained distance between corresponding parts.

That leaves D. If the figures are regular, that will be true. If they are not regular, non corresponding external angles cannot be guaranteed to be true.

7 0

3 years ago

Please answer and explain how you received that answer, these are the three problems I had trouble with out of 18

Varvara68 [4.7K]

9) x.14 = 6.26 ==> 14x=156 ==> x=11.1

12) OAB = Right Triangle : (27+24)² = 24² + AB² (Pythagoras)
==> 51² =24² + AB² ==> 2,601 = 576 + AB² ==> AB² = 2,601 - 576 = 2,025
==> AB² = 2015 AND AB =√2025 = 45
Sorry I can't read the last page

5 0

2 years ago

Each number below is a factor of Miguel's number.

BabaBlast [244]

Pretty sure it d.12 bc you were counting from 3’s so the next number up would be 12

6 0

3 years ago

Read 2 more answers