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Stells [14]
2 years ago
11

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

Mathematics
1 answer:
Law Incorporation [45]2 years ago
6 0

By using identity we got the factorization form of 2x^2-18 as

2(x-3)(x+3)

<h3>What is factorization?</h3>

factorization is a way of writing any expression in form of product of some expressions

Given polynomial

2x^2-18

We can factorize it as

2x^2-18\\\\2(x^2-9)\\\\2(x^2-3^2)\\\\2(x-3)(x+3)

By using identity we got the factorization form of 2x^2-18 as

2(x-3)(x+3)

To learn more about factorization visit :brainly.com/question/25829061

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Arturiano [62]

Answer:

i very diffucult question

6 0
3 years ago
Express f(x) = 3 cos x + 5 sin x as Rsin(x + o), where e<br>is an acute angle in radians.​
Andrews [41]

Answer:

<h2>√34sin(x + 0.33π)</h2>

Step-by-step explanation:

The general form of the equation acosx + bsinx = Rsin(x + e) where R is the resultant of the constants 'a' and 'b' and e is the angle between them.

R = √a²+b²

e = tan^{-1}\frac{b}{a}

Given the function f(x) = 3 cos x + 5 sin x, comparing with the general equation;

a = 3, b = 5

R = √3²+5²

R = √9+25

R =√34

e = tan^{-1} \frac{5}{3} \\e = 59.09^{0}

in radians;

e =\frac{\pi }{180}*59.09\\ e = 0.33\pi rad

3 cos x + 5 sin x = √34sin(x + 0.33π)

4 0
3 years ago
The endpoints of a line segment graphed on a Cartesian coordinate system are (4, 1) and (-2, -4). What are the coordinates of th
Masja [62]
The midpoint of (x1,y1) and (x2,y2) is (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

just average them


(4,1) and (-2,4)
the midpoint is  (\frac{4-2}{2},\frac{1-4}{2})=(\frac{2}{2},\frac{-3}{2})=(1,-1.5)
5 0
3 years ago
Read 2 more answers
4 / 7 + −1 / 3 <br> HELP PLAESEEEEE
sasho [114]

Answer:

are those fractions or division signs

Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
At the city museum, child admission is $6.10 and adult admission is $9.90. On Friday, 142 tickets were sold for a total sales of
antoniya [11.8K]

Answer:

no of child tickets sold were 58

Step-by-step explanation:

Let the number of child ticket sold be x

cost of 1 child ticket = $6.10

Total cost of x child ticket = x*cost of 1 child ticket = = $6.10x

Let the number of adult ticket sold be y

cost of 1 adult ticket = $9.90

Total cost of y adult ticket = y*cost of 1 adult ticket = = $9.90y

Given total ticket sold = 142

Thus,

number of child ticket sold +  number of adult ticket sold = 142

x + y = 142   - equation 1

x = 142 -y  

Total sales of ticket = $1185.40

total sales of ticket  = Total cost of x child ticket + Total cost of x a dult ticket

6.10x + 9.90y = 1185.40

in this equation substituting x = 142 - y from equation 1

6.10(142 - y )  + 9.90y = 1185.40

=>866.2 - 6.10y + 9.90y = 1185.40

=> 3.80y = 1185.40 - 866.2

=> 3.80y = 319.2

=> y = 319.2/3.80 = 84

Thus, y = 84

x = 142 - y  = 142 - 84 = 58

Thus, no of child tickets sold were 58

6 0
3 years ago
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