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andrew11 [14]
3 years ago
13

Can 12(x^3+y^2)+6(y^2+1) be the factored form of 12x^3+18y^2+6?

Mathematics
2 answers:
kirill [66]3 years ago
8 0

The correct answer is yes. just distribute 12 to all within first set then 6 to all in 2nd set then add like terms

Misha Larkins [42]3 years ago
4 0

Answer:

YES

Step-by-step explanation:

So how you can figure this out is you do the Distributive Property.

So it will be 12x^3+12y^2+6y^2+6.

The next thing you have to do is add together the ones that are similar which is 12y^2+6y^2 to get 18y^2.

Your answer is 12x^3+18y^2+6. So YES it can be factored into that form.

You might be interested in
In a list of five consecutive odd integers, the sum of the first and double the last is 139. What is the largest sum?
Leviafan [203]

Answer: 49

Step-by-step explanation:

From your question, I think you mean the largest number. The answer is given below.

Let the five consecutive odd numbers be:

a, a+2, a+4, a+6 and a+8.

Thee sum of the first and double the last is 139. This can be written as:

a + 2(a+8) = 139

a + 2a + 16 = 139

3a + 16 = 139

3a = 139 - 16

3a = 123

a = 123/3

a = 41

The first number = 41

The largest number = a+8 = 41 + 8 = 49.

7 0
3 years ago
An observer (O) spots a plane (P) taking off from a local airport and flying at a 33° angle horizontal to her line of sight and
docker41 [41]

Answer:

the distance of the Bird (B) from the plane (P)  is = 10779  ft

Step-by-step explanation:

From the given information:

a diagrammatic representation is attached below for better understanding and solution to the question.

From the diagram;

Let the Bird (B) be represent as A

The plane (P) be represented by B

The observer be represented by O

and the tower T be represented by C

we will see that:

\overline {AB}  \ \| \ \overline {OC}

Also;

\angle ABO = \angle BOC = 33^0

AO = BC = 7000

Let consider the trigonometry of  triangle BAO

tan θ = opposite/adjacent

tan 33° = 7000/x

0.6494 = 7000/x

x = 7000/0.6494

x = 10779.18

x = 10779  ft    ( to the nearest whole number)

Thus; the distance of the Bird (B) from the plane (P)  is = 10779  ft

7 0
3 years ago
Maria’s phone bills were $95, $67, $43, and $115. What was the mean, or average, of her phone bills?
Ghella [55]

Answer:

the mean is $80

Step-by-step explanation:

7 0
3 years ago
M<br> (9x + 2)<br> 1<br> (5х – 1)°<br> 740<br> What is mz2?<br> 39°<br> 570<br> ОООО<br> 67°<br> 740
Elodia [21]

Answer:

<h3>           m∠2 = 67°</h3>

Step-by-step explanation:

m║n   ⇒   (9x + 2)° = 74°       {Corresponding Angles}

(9x)° = 72°

 x = 8

Angles: angle corresponding to angle (5x-1)°, angle 74° and angle 2 add to 180° (straight angle)

(5×8 - 1)° + 74° + m∠2 = 180°

39° + 74° + m∠2 = 180°

113° + m∠2 = 180°

m∠2 = 180° - 113°

m∠2 = 67°

7 0
3 years ago
Is 11/12 closest to 0, 1/2, or 1 on a number line?
docker41 [41]
It should be closer to 1
7 0
3 years ago
Read 2 more answers
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