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Agata [3.3K]
3 years ago
8

Multiply and simplify: (6x + 3y)(6x − 3y)

Mathematics
2 answers:
nasty-shy [4]3 years ago
5 0

Answer:

36x² - 9y²

Step-by-step explanation:

We see that the given expression (6x + 3y)(6x - 3y) looks just like the expression (a + b)(a - b). When multiplied out, this is a difference of squares identity that I highly recommend you memorise:

(a + b)(a - b) = a² - b²

Here, a = 6x and b = 3y, so plug these in:

(6x + 3y)(6x - 3y) = (6x)² - (3y)² = 36x² - 9y²

Masteriza [31]3 years ago
3 0

Answer:

36x² - 9y²

Step-by-step explanation:

(6x + 3y)(6x − 3y)

(6x)² - (3y)²

36x² - 9y²

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Write each decimal as a fraction <br> .07<br> .051<br> .473<br> .27<br> .5.37<br> .16.49
Colt1911 [192]

Answer:

7/10

51/100

473/1000

27/100

537/1000

1649/10000

Step-by-step explanation:

im curious about what the dots are in .16.49 and .5.37, why are there two dots?

3 0
2 years ago
What is the standard form equation of the line shown below?
nadya68 [22]

Answer: Choice A

x+3y = 14

======================================================

Explanation:

The general template for standard form is Ax+By = C, where A,B,C are integers.

This immediately rules out choices C and D, since they don't fit the format mentioned.

To see which of A or B we can eliminate or confirm, plug (x,y) coordinates from the graph into each answer choice. The ultimate goal is to get a true statement.

For example, the graph shows that (x,y) = (2,4) is on the line. Plug this into choice A to get...

x+3y = 14

2+3(4) = 14

2+12 = 14

14 = 14 this is true

So far so good. The point (2,4) is on the line x+3y = 14. Repeat those steps for (-1, 5) and you should get another true result. So that would confirm choice A is the answer. You only need a minimum of two points to define a unique line, meaning we only need to verify two points on the line. Anything more is just extra busy work.

---------

If we tried (2,4) with choice B, then,

5x+3y = 14

5(2)+3(4) = 14

10+12 = 14

22 = 14 which is false

This indicates (2,4) is not on the line 5x+3y = 14. We can rule out choice B because of this.

3 0
3 years ago
Read 2 more answers
0.1629 nearest tenth (0.1) look at the 0.01 place.
topjm [15]

Answer:

If its asking you to round to the nearest tenths place then its 0.2

remember that if the number you're using to round is 5 or higher  you add 1. If its 4 or lower it stays the same

6 0
3 years ago
A survey of 1,565 households estimated that 72% of the households in a given state owned a television. What is the population?
kvasek [131]

Answer:

all the households in given state. part 2 is 1565 households surveyed.

Step-by-step explanation:

4 0
3 years ago
How can we find the measure of an exterior angle if we know the measurement of an interior angle
Alik [6]

Step-by-step explanation:

Put the interior angle equal to 180.


It would look something like this:

x+45=180

-45     -45

180-45= 135 so the exterior angle would be 135!

3 0
2 years ago
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