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Svetradugi [14.3K]
3 years ago
11

Polynomial division help pls!!

Mathematics
1 answer:
lara31 [8.8K]3 years ago
6 0
Just add the numerators and the answer becomes (4/x–4)
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Show that the equation represents a circle and find its center and radius.<br> x2 + y2 +6y + 2 = 0
Dafna11 [192]

Answer:

Step-by-step explanation:

The general equation of a circle can be expressed as (x-a)²+(y-b)² = r² where (a,b) is the centre of the circle and r is the radius.

To show that the equation x² + y² +6y + 2 = 0 represents a circle, we need to write it in the format above using the completing the square method.

Given x² + (y² +6y) + 2 = 0

First we need to complete the square of the square in parenthesis by adding the square of half of the coefficient of y i.e (\frac{1}{2}*6) ^2 to the equation and adding the constant to the other side of the equation as well.

x² + (y² +6y) + 2 = 0

x^2+(y^2+6y+(\frac{1}{2}*6) ^2)+2 = 0+(\frac{1}{2}*6) ^2\\x^2+(y^2+6y+(3) ^2)+2 = 0+3 ^2\\x^2+(y^2+6y+9)+2 = 0+9\\x^2+(y+3)^2+2 = 9\\x^2+(y+3)^2+2-2 = 9-2\\x^2+(y+3)^2 = 7\\(x-0)^2+(y+3)^2 = 7\\

<em>Hence the equation represents a circle with centre C at (0, -3) and radius of √7</em>

7 0
3 years ago
( NO LINKS ) If x=7, is this equation true? 7 + 9x &gt; 73 *<br><br> A. Yes<br> B. No
elixir [45]

Answer:

\huge\mathfrak\red{Answer} \\  \\ 7 + 9x > 73 \\  \\ x = 7 \:  \:  \:  \:  \:  \: given \\  \\ 7 + (9 \times 7) > 73 \\  \\ 7 + 63 > 73 \\  \\ 70 > 73 \\  \\ but \: 70 \: is \: not \: grater \:  \: than73 \\  \\ so \: this \: equation \: is \: not \: true \\  \\ \huge\mathfrak\purple{Answer = no} \\  \\ \small\mathfrak\red{hope \: it \: helps...}

7 0
3 years ago
Find the sum of 362+265.explain why you did or did not regroup.
Vesna [10]
EDIT:
Order of operations doesn't matter in addition. So you can add them in any order.
6 0
3 years ago
Read 2 more answers
Perry bought one package of strawberries for $3. How many packages of strawberries can Mei buy if she has $9?
evablogger [386]

Answer:

3 packs

Step-by-step explanation:

1 pack = $3

To see how many she could buy divide the money she has by how much each pack costs

9/3 = 3

$3 for each pack is the same as

3+3+3 = 6+3 = 9

7 0
3 years ago
How do you solve this?
liberstina [14]

Answer:

The answer is

<h2>{13}^{3}</h2>

Step-by-step explanation:

<h3>( {13})^{2}(  {13})^{ - 4} ( {13})^{5}</h3>

To solve the expression , use the rules of indices

Since the bases are the same and are multiplying we add the exponents

That's

<h3>{a}^{x}  \times  {a}^{y}  \times  {a}^{z}  =  {a}^{x + y + z}</h3>

So we have

<h3>( {13})^{2}(  {13})^{ - 4} ( {13})^{5}   =  {13}^{2 - 4 + 5}  \\  =  {13}^{ - 2 + 5}</h3>

We have the final answer as

<h3>{13}^{3}</h3>

Hope this helps you

3 0
4 years ago
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