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NikAS [45]
3 years ago
5

What is x^2 + y^2 - 4x + 12y -20= 0 factored

Mathematics
1 answer:
andrew11 [14]3 years ago
4 0
<span>Simplifying
4x2 + 8xy + 4y2

Reorder the terms:
8xy + 4x2 + 4y2

Factor out the Greatest Common Factor (GCF), '4'.
4(2xy + x2 + y2)
 
Factor a trinomial.
4((x + y)(x + y))

Final result:
4(x + y)(x + y)</span>
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Does anyone know how to do this? Im so confused.
Dafna11 [192]
<h3>Answer:  PC = 5</h3>

================================================

Work Shown:

AB+BC+CD = AD .... segment addition postulate

BC+BC+CD = AD ... replace AB with BC (since AB = BC)

BC+BC+BC = AD ... replace CD with BC (since BC = BC)

3*BC = AD .... combine like terms

3*BC = 12 .... replace AD with 12

BC = 12/3 .... divide both sides by 3

BC = 4

For right triangle PBC, the legs are BP = 3 and BC = 4. We can use the Pythagorean Theorem to find that the hypotenuse is PC = 5

The steps are shown below

(BP)^2+(BC)^2 = (PC)^2

3^2+4^2 = (PC)^2

9+16 = (PC)^2

25 = (PC)^2

(PC)^2 = 25

PC = sqrt(25)

PC = 5

The other parts of the diagram seem to be thrown in as a distraction.

7 0
3 years ago
Which describes the transformation shown please help
sergiy2304 [10]
90° clockwise, I think
5 0
3 years ago
Which is the first step in simplifying the expression?
Elenna [48]
\dfrac{3}{2 +  \sqrt{2} }

To rationalise the denominator, this is a standard step:
= \dfrac{3}{2 + \sqrt{2} } \times  \dfrac{2 - \sqrt{2}}{2 - \sqrt{2}}

Answer: Option A

---------------------------------------------------------------------------------------------------

Let me continue to complete the question, though it is not ask for

= \dfrac{3(2 - \sqrt{2})}{(2 + \sqrt{2)}(2 - \sqrt{2}) }

= \dfrac{3(2 - \sqrt{2})}{4 - 2 }

= \dfrac{6 - 2\sqrt{2}}{2 }
5 0
3 years ago
Read 2 more answers
A company makes 140 bags.
malfutka [58]

Answer:

71

Step-by-step explanation:

The question says we have 140 bags and we have 4 models

bags have buttons but no zips.

bags have zips but no buttons.

bags have neither zips nor buttons

bags have both zips and buttons

We don't know how many bags have zips and buttons but we know how many bags are produced. And other 3 types of bags number. So we can calculate

140-47-48-22=23

That means we have 23 bags that have zips and buttons

and

48 of the bags have zips too. that means we have 48+23=71 bags that have zips on them.

8 0
2 years ago
Help pleasee , thank you so much in advance
Tanzania [10]
Pretty sure the answer would be 32. It’s basic subtraction I think.
3 0
3 years ago
Read 2 more answers
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