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trasher [3.6K]
3 years ago
11

Factor completely 10xy + 3y + 20ax + 6a.

Mathematics
2 answers:
Sindrei [870]3 years ago
6 0

Answer:

Option 3 is correct.

Step-by-step explanation:

The given expression is

10xy+3y+20ax+6a

This expression can be written as

(10xy+3y)+(20ax+6a)

Take out the common factors from each parenthesis.

y(10x+3)+2a(10x+3)

Now, take out the common factor (10x+3).

(10x+3)(y+2a)

Therefore option 3 is correct.

stiv31 [10]3 years ago
3 0
10 xy + 3y + 20 ax + 6a = y(10x+3) + a(20x+6) = y(10x+3)+2a(10x+6)= 
(y+2a)(10x+3)
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Solve for side c if side a = 30ft and side b = 40ft
bearhunter [10]

Answer:

50

Step-by-step explanation:

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Dafna11 [192]
Sorry mate, I can help with 8.) and 9.)
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4 0
3 years ago
Solve the following equation by factoring:9x^2-3x-2=0
olya-2409 [2.1K]

Answer:

The two roots of the quadratic equation are

x_1= - \frac{1}{3} \text{ and } x_2= \frac{2}{3}

Step-by-step explanation:

Original quadratic equation is 9x^{2}-3x-2=0

Divide both sides by 9:

x^{2} - \frac{x}{3} - \frac{2}{9}=0

Add \frac{2}{9} to both sides to get rid of the constant on the LHS

x^{2} - \frac{x}{3} - \frac{2}{9}+\frac{2}{9}=\frac{2}{9}  ==> x^{2} - \frac{x}{3}=\frac{2}{9}

Add \frac{1}{36}  to both sides

x^{2} - \frac{x}{3}+\frac{1}{36}=\frac{2}{9} +\frac{1}{36}

This simplifies to

x^{2} - \frac{x}{3}+\frac{1}{36}=\frac{1}{4}

Noting that (a + b)² = a² + 2ab + b²

If we set a = x and b = \frac{1}{6}\right) we can see that

\left(x - \frac{1}{6}\right)^2 = x^2 - 2.x. (-\frac{1}{6}) + \frac{1}{36} = x^{2} - \frac{x}{3}+\frac{1}{36}

So

\left(x - \frac{1}{6}\right)^2=\frac{1}{4}

Taking square roots on both sides

\left(x - \frac{1}{6}\right)^2= \pm\frac{1}{4}

So the two roots or solutions of the equation are

x - \frac{1}{6}=-\sqrt{\frac{1}{4}}  and x - \frac{1}{6}=\sqrt{\frac{1}{4}}

\sqrt{\frac{1}{4}} = \frac{1}{2}

So the two roots are

x_1=\frac{1}{6} - \frac{1}{2} = -\frac{1}{3}

and

x_2=\frac{1}{6} + \frac{1}{2} = \frac{2}{3}

7 0
2 years ago
Does any one know how to do determining the GFC
nataly862011 [7]

Answer:

Yes, GCF stands for (greatest common factor)

so to find it do this:

   List the prime factors of each number.

   Circle every common prime factor — that is, every prime factor that's a factor of every number in the set.

   Multiply all the circled numbers. The result is the GCF.

Step-by-step explanation:

4 0
3 years ago
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