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3 years ago

What is the complete factorization of 4x2 - 9y4?

Mathematics

2 answers:

Liono4ka [1.6K]3 years ago

6 0

Answer:

the answer is c

( 2 x + 3 y ) ( 2 x − 3 y ) is the factored form of the expression

Step-by-step explanation:

4 x 2 − 9 y 2 can be also written as ( 2 x ) 2 − ( 3 y ) 2
Now, as per identity: a 2 − b 2 = ( a + b ) ( a − b )
So , in case of our expression a = 2 x , b = 3 y ( 2 x ) 2 − ( 3 y ) 2 = ( 2 x + 3 y ) ( 2 x − 3 y )

Gennadij [26K]3 years ago

5 0

Answer: D

Explanation:

if you evaluate/simplify the equation you would get 4x^2 - 9y^4.

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Ayla saves up $204 and spends $35.50 on books. She wants to purchase more books, which are on sale for $8.25 each. How many more

pogonyaev

Answer:

20 more books

Step-by-step explanation:

£204 - £35.50 = £168.50

168.50/8.25 = 20.42

We obviously can't buy 0.42 of a book, so you round down and get 20 books

4 0

4 years ago

Solving equations 15(x)=4(2x+3)

8_murik_8 [283]

The answer is x = 12/7

because you multiply 15 by x to get 15x
15x = 4(2x+3)
next you simplify the right side by using the distributive property by doing 15x = 4(2x) + 4(3)
Then you multiply 2 by 4 to get 8
15x = 8x + 4(3)
and multiply 4 by 3 to get 12
15x = 8x + 12
Now you move terms containing (x) to the left side of the equation.
Since 8x contains the variable to solve for, move it to the left side of the equation by subtracting 8x from both sides.
15x - 8x = 12
subtract 8x from 15x to get 7x
7x = 12
Also , divide each term by 7 and simplify
Divide each term in 7x = 12 by 7
7x/7 = 12/7
Lastly , reduce the expression by cancelling the common factors by
crossing out all 7s 7x/7 and leave 12/7 as it is, and divide x by 1 to get x by
x = 12/7
So the answer is x = 12/7

3 0

3 years ago

Read 2 more answers

Which color is the line that has a negative slope?

Svetlanka [38]

Answer:

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

I need help on both these answer pls someone

Strike441 [17]

Answer:

1) 3(12-1)

2) 33

Step-by-step explanation:

times means multiplication and difference of means subtraction

you do first because of the parenthesis 21-1 equals 11

and then multiply 11 by 3 which is 33

6 0

3 years ago

RHOMBUS The diagonals of rhombus ABCD intersect at E. Given that

schepotkina [342]

Answer:

Question 11:

$\angle DAC = 53^\circ$

$\angle AED = 90^\circ$

$\angle ADC = 74$

$DB = 16$

$AE = 6.03$

$AC = 12.06$

Question 12:

$\triangle ABD$ , $\triangle BAC$ , $\triangle CDA$ and $\triangle DAB$

Question 13:

AC and BD are perpendicular lines, and they are diagonals

Step-by-step explanation:

Question 11

Given

$\angle BAC = 53^\circ$

$DE = 8$

See attachment for Rhombus

Required

Determine the indicated sides

Solving (a): $\angle DAC$

Diagonal CA divides $\angle DAB$ into 2 equal angles

i.e

$\angle DAC = \angle BAC$

So:

$\angle DAC = 53^\circ$

Solving (b): $\angle AED$

The angles at E is 90 degrees because diagonals AC and BD meet at a perpendicular.

So:

$\angle AED = 90^\circ$

Solving (c): $\angle ADC$

First, we calculate $\angle ADE$ , considering $\triangle ADE$ :

$\angle ADE + \angle AED + \angle DAC = 180$

$\angle ADE + 90 + 53 = 180$

$\angle ADE + 143 = 180$

$\angle ADE = -143 + 180$

$\angle ADE = 37$

To calculate $\angle ADC$ , we have:

$\angle ADC = 2*\angle ADE$

$\angle ADC = 2* 37$

$\angle ADC = 74$

Solving (d): $DB$

From the rhombus

$DB = DE +EB$

Where

$DE =EB$

So:

$DB = 8 + 8$

$DB = 16$

Solving (e): $AE$

To do this we consider $\triangle ADE$

Using the tan formula

$tan(\angle ADE) = \frac{AE}{DE}$

$\angle ADE = 37$ and $DE = 8$

So:

$\tan(37) = \frac{AE}{8}$

$AE = 8 * \tan(37)$

$AE = 6.03$

Solving (f): $AC$

This is calculated as:

$AC = AE + EC$

Where

$AE = EC$

$AC = 6.03 +6.03$

$AC = 12.06$

Question 12: Isosceles Triangle

In the rhombus, all 4 sides are equal;

So, the isosceles triangle are:

$\triangle ABD$ , $\triangle BAC$ , $\triangle CDA$ and $\triangle DAB$

Question 13:

AC and BD are perpendicular lines, and they are diagonals

4 0

3 years ago