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Mnenie [13.5K]
3 years ago
15

How do you solve (a-3b)(7a-3b)

Mathematics
1 answer:
Anna [14]3 years ago
3 0

Step-by-step explanation:

Simplifying

(7a + 3b)(7a + -3b) = 0

Multiply (7a + 3b) * (7a + -3b)

(7a * (7a + -3b) + 3b * (7a + -3b)) = 0

((7a * 7a + -3b * 7a) + 3b * (7a + -3b)) = 0

Reorder the terms:

((-21ab + 49a2) + 3b * (7a + -3b)) = 0

((-21ab + 49a2) + 3b * (7a + -3b)) = 0

(-21ab + 49a2 + (7a * 3b + -3b * 3b)) = 0

(-21ab + 49a2 + (21ab + -9b2)) = 0

Reorder the terms:

(-21ab + 21ab + 49a2 + -9b2) = 0

Combine like terms: -21ab + 21ab = 0

(0 + 49a2 + -9b2) = 0

(49a2 + -9b2) = 0

Solving

49a2 + -9b2 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '9b2' to each side of the equation.

49a2 + -9b2 + 9b2 = 0 + 9b2

Combine like terms: -9b2 + 9b2 = 0

49a2 + 0 = 0 + 9b2

49a2 = 0 + 9b2

Remove the zero:

49a2 = 9b2

Divide each side by '49'.

a2 = 0.1836734694b2  

Simplifying

a2 = 0.1836734694b2

take the square root of each side:

a = {-0.428571429b, 0.428571429b}

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Answer:

d. Two complex solutions

Step-by-step explanation:

We have been given a trinomial 2x^2+4x+4 and we are supposed to predict the type of solutions of our given trinomial.

We will use discriminant formula to solve for our given problem.

\text{Discriminant}=b^2-4ac, where,

a =\text{Coefficient of }x^2,

b =\text{Coefficient of }x,

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Conclusion from the result of Discriminant are:

D

D=0\text{ means one real zero with of multiplicity two}

D>0\text{ means two distinct zeroes}

Upon substituting our given values in above formula we will get,

\text{Discriminant}=4^2-4*2*4

\text{Discriminant}=16-32

\text{Discriminant}=-16

Since our discriminant is less than zero, therefore, out given trinomial will have two complex solutions and option d is the correct choice.

3 0
3 years ago
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Solve the inequality -3x<54
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Answer:

x<-18

Step-by-step explanation:

you divide -3 by both sides.

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2 years ago
Solve for x<br> x^9=12^2x12^7
jekas [21]

Answer:

<h2>12</h2>

Step-by-step explanation:

Hi!

Here is your answer,

I will explain in step by step,

{x}^{9}  =  {12}^{2}  \times  {12}^{7}

Here we can simplify this further using this law,

{a}^{m}  \times {a}^{n} =  {a}^{m + n}

So we will get,

{x}^{9}  =  {12}^{7  + 2}  \\  {x}^{9} =  {12}^{9}

Since the powers are same we can cancel it out and we will get,

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Harry liked to collect old movies. On 4 different days, he bought 2 movies. On 2 other days, he bought 3 movies each day. After
neonofarm [45]

Answer:

Harry put 5 movies on each shelf.

Step-by-step explanation:

The information provided is:

  • On 4 different days, he bought 2 movies.
  • On 2 other days, he bought 3 movies each day.
  • After that he sold 2 sets of 2 movies.
  • He divided the remaining into 2 groups to put onto his shelves.

So, first Harry bought 2 movies on four different days.

That is, a total of 8 movies.

Then, he bought 3 movies on two other days.

That is, a total of 6 movies.

So, in total Harry bought 14 movies.

Now, he sold 2 sets of 2 movies.

That is, he sold 4 movies.

He has 14 - 4 = 10 remaining movies with him.

It is provided that he divided remaining movies into 2 groups to put onto his shelves.

So, he put 10/2 = 5 movies on each shelf.

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Answer:

225 sq. Ft

Step-by-step explanation:

Key words in the question;

Dilated - This means increased pr expanded

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Old square = 75 sq. Ft

This means;

New are = Old area * 3

New area = 75 * 3 = 225 sq. Ft

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