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liubo4ka [24]
3 years ago
9

X+3y=9. graph using slope and y-intercept

Mathematics
2 answers:
shepuryov [24]3 years ago
7 0
In order to graph it easily, we write the given equation into its slope intercept form which is expressed as:

y = mx + b

where m is the slope and b is the y-intercept.

<span>X+3y=9
(3y = 9 - X)1/3
y = (-1/3)X + 3</span>
timama [110]3 years ago
6 0
Well, in order to first determine the slope or y-intercept, you must put change the equation to this format: y=mx+b.
m=slope and b=y-intercept
I
in order to do that, you must change this equation.

x+3y=9

-x     -x
----------
3y=9-x

Then, rewrite it as: 

3y=-x+9
_______
3      3

simplify to  

y=-x/3 +9



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Answer:

320/4=8   8 tens /4 tens =2

Step-by-step explanation:

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Which of the following equations is equivalent to x - y = 5?
Masja [62]

Answer:

6x-6y=30

Step-by-step explanation:

<u><em>The complete options are</em></u>

a) x - 2y = 30

b) 4x - 3y = 30

c) 3x - 4y = 30

d) 6x - 6y = 30

The given equation is

x-y=5

<u>Verify option d</u>

we have

6x-6y=30

Divide by 6 both sides

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therefore

x-y=5  and 6x-6y=30 are equivalent

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c  \leqslant 0
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Evaluate the expression 4+−4√2+−1√ and write the result in the form a+bi.
castortr0y [4]

In the expression, the real number a equals 12 and the real number b equals -16.

<h3>How to explain the information?</h3>

It should be noted that the expression given is:

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Therefore, we need to expand the expression. This will be:

= (4 - 2i)(4 - 2i)

= 16 -8i -8i + 4i²

= 16 -16i +4i²

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= 16 - 16i + 4(-1)

= 16 - 16i - 4

= 12 - 16i

Therefore, the value of the expression is 12 - 16i.

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Evaluate the expression ( 4 − 2 i )² and write the result in the form a + b i.

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2 years ago
Para decorar una pared se disponen de tiras de papel azules de 15 cm, verdes de 20 cm, y rojas de 25 cm. En la pared se quiere a
den301095 [7]

Answer:

a) Smallest line that can be made with each color = 300 cm

b) Total strips should be used = 47 strips

c) Total strips used of blue color = 20

  Total strips used of green color = 15

  Total strips used of red color = 12

Step-by-step explanation:

Given - To decorate a wall, there are 15 cm blue, 20 cm green, and 25 cm red strips of paper. On the wall you want to build three lines of the same size, one of each color and without cutting any strip.

To find - a) How long is the smallest line that can be made with each color?

              b) How many strips should be used?

              c) How many of each color?

Proof -

a)

For the smallest line that can be made with each color, we just have to find the lcm (least common multiple) of the 3 srtips.

Firstly,

Decompose the 3 strips to its prime factors , we get

15 = 3×5

20 = 2²×5

25 = 5²

So,

The Lcm(15, 20, 25) = 3×2²×5² = 3×4×25 = 300

∴ we get

Smallest line that can be made with each color = 300 cm

b)

Now,

Total strips used = 300 cm

Strips used by 15 cm blue = \frac{300}{15} = 20 strips

Strips used by 20 cm green = \frac{300}{20} = 15 strips

Strips used by 25 cm red = \frac{300}{25} = 12 strips

So,

Total strips should be used = 20 + 15 + 12 = 47 strips

c)

Total strips used of blue color = 20

Total strips used of green color = 15

Total strips used of red color = 12

6 0
3 years ago
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