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mestny [16]
2 years ago
5

What is the slope and y-Intercept of the equation 3(y – 2) + 6(x + 1) - 2 = 0?

Mathematics
2 answers:
aliina [53]2 years ago
5 0

⇒ 3(y - 2) + 6(x + 1) - 2 = 0

⇒ 3y - 6 + 6x + 6 - 2 = 0

⇒ 3y = -6x + 2

⇒ y = (-6x + 2)/3

⇒ y = -2x + ⅔

<h3><u>FINAL </u><u>ANSWER</u><u> </u><u>:</u></h3>

Slope = -2

Y - intercept = +⅔

<h3><u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u><u> </u><u>:</u></h3>

Option (a) is the correct answer .

Ne4ueva [31]2 years ago
4 0

Answer:

  • A. Slope = -2, y-intercept = 2/3

Step-by-step explanation:

<u>Convert the given equation into slope-intercept form:</u>

  • 3(y - 2) + 6(x + 1) - 2 = 0
  • 3y - 6 + 6x + 6 - 2 = 0
  • 3y + 6x - 2 = 0
  • 3y = - 6x + 2
  • y = - 2x + 2/3

The slope is -2, the y-intercept is 2/3

Correct choice is A

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Answer is 64 and a factor is 6/4 .
7 0
3 years ago
What is the slope of the line that goes through the points (12,-18) (-15,-18)
AnnZ [28]

Hi!

Step-by-step explanation:

SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}

\frac{(-18)-(-18)}{(-15)-12}=\frac{0}{-27}=0

<u><em>Slope is 0.</em></u>

<u><em>The answer is 0.</em></u>

Hope this helps!

Have a nice day! :)

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-Charlie

Thank you!

4 0
3 years ago
Adam is building a computer desk with a separate compartment for the computer. The compartment for the computer is a rectangular
Alik [6]

Answer:

The width of the computer compartment is 9 inches

The length of the computer compartment is 33 inches

The height of the computer compartment is 27 inches

Step-by-step explanation:

The given data on the rectangular prism compartment are;

The volume of the rectangular prism, V = 8019 cubic inches

The length of the compartment, l = 24 inches + The width, w

The height of the compartment, h = 18 inches + The width, w

Therefore, we have;

l = 24 + w

h = 18 + w

V = l × h × w

∴ V = (24 + w) × (18 + w) × w = w³ + 42·w² + 432·w = 8019

w³ + 42·w² + 432·w - 8019 = 0

By graphing the above function with MS Excel, we have one of the solution is w = 9

∴ (w - 9) is a factor of w³ + 42·w² + 432·w - 8019 = 0

Dividing, we get;

w² + 51·w + 891

w³ + 42·w² + 432·w - 8019 = 0

w³ - 9·w²

     51·w² - 459·w

                 891·w

                 891·w + 8019

                             0

Therefore,

w³ + 42·w² + 432·w - 8019 = 0

w³ + 42·w² + 432·w - 8019  = (x - 9)·(w² + 51·w + 891) = 0

The determinant of the factor, w² + 51·w + 891 = 51² - 4×1×891 = -963, therefore, the it has complex roots

Therefore, the real solution of (x - 9)·(w² + 51·w + 891) = 0 is w = 9

The width of the computer compartment, w = 9 inches

The length of the computer compartment, l = 24 inches + 9 inches = 33 inches

The height of the computer compartment, h = 18 inches + 9 inches = 27 inches.

3 0
3 years ago
The rule for the number of fish in a home aquarium is 1 gallon of water for each inch of fish length. Marta's aquarium holds 22
Anuta_ua [19.1K]

Answer:

Fish A is 4 inches.

Fish B is 5 inches.

Step-by-step explanation:

22=3a+2b

and

32=3a+4b

So,

a=4 and b=5

7 0
3 years ago
True or False - Explain the graphs of two different direct variations can be parallel
Kruka [31]
False because you in comepare and coaiser
3 0
3 years ago
Read 2 more answers
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