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Maurinko [17]
3 years ago
11

Factor completely 2x2 - 18. Prime 2(x2 - 9) 2(x + 3)(x - 3) 2(x + 3)(x + 3)

Mathematics
2 answers:
zhenek [66]3 years ago
7 0
2 x^{2}  - 18= 2( x^{2} - 9)= 2(x + 3)(x - 3)
kap26 [50]3 years ago
7 0
2x² - 18
2(x²) - 2(9)
2(x² - 9)
2(x² + 3x - 3x - 9)
2x(x(x) + x(3) - 3(x) - 3(3))
2x(x(x + 3) - 3(x + 3))
2x(x - 3)(x + 3)
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Emily read 24 fiction books and 2 nonfiction books. What is the ratio of the number of fiction books she read to the total numbe
Tems11 [23]

The ratio of number of fiction books to total number of books that she read   12:13.

Given :

Emily reads 24 friction books and 2 nonfiction books.

Number of fiction books she read =24

Number of nofiction boos she read = 2

Total number of books = 26

To Find :

What is the ratio of the number of fiction books she read to the total number of books that she read ?

Solution :

Total number of books that she read=24+2=26

number of fiction books she read=24

Thus ratio of number of fiction books to total number of books that she read

 ⇒  \frac{24}{26}

 ⇒  \frac{12}{13}

 ⇒ 12: 13

Hence  ratio of number of fiction books to total number of books that she read 12 : 13

To know more about total number of books visit :

brainly.com/question/1179123

#SPJ1

4 0
9 months ago
Factor 2x^2 - 6x + 4 completely
katovenus [111]

Answer:

Step-by-step explanation:

Factor

2

out of

2

x

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+

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4

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6

x

.

2

(

x

2

)

+

2

(

3

x

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−

4

Factor

2

out of

−

4

.

2

x

2

+

2

(

3

x

)

+

2

⋅

−

2

Factor

2

out of

2

x

2

+

2

(

3

x

)

.

2(

x

2

+

3

x

)

+

2

⋅

−

2

Factor

2

out of

2

(

x

2

+

3

x

)

+

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⋅

−

2

.

2

(

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2

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6 0
3 years ago
Read 2 more answers
Plz help last one ty!!!!!!!
azamat

My apologies on answering late...

Same situation as the previous problem, but this time, all you need to do is state the degree of the angle instead of just providing the angle itself.


ΔABC ≅ ΔDEF

Now, we can see that ∠C ≅ ∠F. Using this information, we can find ∠C on the first triangle ( which is 75° ).

Since ∠C ≅ ∠F,

m∠F is 75°.


Hope I caught your question in time!

Have a good one! If you need anymore help, let me know.

4 0
3 years ago
Which of the following are solutions to the question below? Check all that apply.
AveGali [126]

Answer:

D

Step-by-step explanation:

Given

6x² - 2x + 36 = 5x² + 10x ( subtract 5x² + 10x from both sides )

x² - 12x + 36 = 0 ← in standard form

(x - 6)² = 0 ← in factored form, thus

x - 6 = 0 ⇒ x = 6 → D

7 0
2 years ago
The diameter of a circle has length 12. The center is at*(-5, 2). Give the equation
labwork [276]

Answer:

Equation of the circle is : x^{2} + 10x + y^{2} -4y -7 =0

Step-by-step explanation:

Let us consider the image attached in the answer area.

The center<em> O</em> has the co-ordinates i.e. <em>(-5,2)</em> and the diameter given is <em>12 units</em>.

We know that radius is half of diameter.

\text{Radius = }\dfrac{\text{Diameter}}{2}

\text{Radius = }\dfrac{12}{2}\\\Rightarrow \text{Radius = 6units}

The equation for circle given the center and radius, can be represented as:

(x-a)^{2}+ (y-b)^{2} = r^{2}

Where <em>(a,b)</em> is the co-ordinate of center and <em>r</em> is the radius.

Let us consider the following formula:

(p+q)^2 = p^{2}+ q^{2} +2pq\\(p-q)^2 = p^{2}+ q^{2} -2pq

(x-(-5))^{2}+ (y-2)^{2} = 6^{2}\\\Rightarrow (x+5)^{2}+ (y-2)^{2} = 36\\\Rightarrow x^{2} + 25 + 10x +y^{2} + 4-4y=36\\\Rightarrow x^{2} + 10x +y^{2} -4y-7=0

Hence, Equation of the circle is : x^{2} + 10x + y^{2} -4y -7 =0

4 0
2 years ago
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