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Andrej [43]
3 years ago
8

-1/2(x+4)=y-2 2x-y=4 Find the slope, x-intercept, and y-intercept for both equations

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
7 0

Answer:


Step-by-step explanation:

slope of a linear equation is m = y2 -y1/x2-x1

x- intercept, is where y = 0

y- intercept is where x = 0

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Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match the pairs of polynomials to their products.
andreyandreev [35.5K]

The products of the polynomials are:

  • (xy + 9y + 2) * (xy - 3) = x²y² - xy + 9xy² - 27y - 6
  • (2xy + x + y) * (3xy² - y) = 6x²y³ - 2xy² + 3x²y² -xy + 3xy³- y²
  • (x - y) * (x + 3y) = x² + 2xy + 3y²
  • (xy + 3x + 2) * (xy – 9)  = x²y² - 7xy + 3x²y - 27x  - 18
  • (x² + 3xy - 2) * (xy + 3)  = x³y + 3x² + 3x²y² + 7xy - 6
  • (x + 3y) * (x – 3y) = x² - 9y²

<h3>How to evaluate the products?</h3>

To do this, we multiply each pair of polynomial as follows:

<u>Pair 1: (xy + 9y + 2) and (xy – 3)</u>

(xy + 9y + 2) * (xy - 3)

Expand

(xy + 9y + 2) * (xy - 3) = x²y² - 3xy + 9xy² - 27y + 2xy - 6

Evaluate the like terms

(xy + 9y + 2) * (xy - 3) = x²y² - xy + 9xy² - 27y - 6

<u>Pair 2: (2xy + x + y) and (3xy² - y)</u>

(2xy + x + y) * (3xy² - y)

Expand

(2xy + x + y) * (3xy² - y) = 6x²y³ - 2xy² + 3x²y² -xy + 3xy³- y²

<u>Pair 3: (x – y) and (x + 3y) </u>

(x - y) * (x + 3y)

Expand

(x - y) * (x + 3y) = x² + 3xy - yx + 3y²

Evaluate the like terms

(x - y) * (x + 3y) = x² + 2xy + 3y²

<u>Pair 4: (xy + 3x + 2) and (xy – 9) </u>

(xy + 3x + 2) * (xy – 9)

Expand

(xy + 3x + 2) * (xy – 9)  = x²y² - 9xy + 3x²y - 27x + 2xy - 18

Evaluate the like terms

(xy + 3x + 2) * (xy – 9)  = x²y² - 7xy + 3x²y - 27x  - 18

<u>Pair 5: (x² + 3xy - 2) and (xy + 3) </u>

(x² + 3xy - 2) * (xy + 3)

Expand

(x² + 3xy - 2) * (xy + 3)  = x³y + 3x² + 3x²y² + 9xy - 2xy - 6

Evaluate the like terms

(x² + 3xy - 2) * (xy + 3)  = x³y + 3x² + 3x²y² + 7xy - 6

<u>Pair 6: (x + 3y) and (x – 3y)</u>

(x + 3y) * (x – 3y)

Apply the difference of two squares

(x + 3y) * (x – 3y) = x² - 9y²

Read more about polynomials at:

brainly.com/question/4142886

#SPJ1

5 0
1 year ago
Solve for x.<br> 3x + 7y - 12
muminat

Step-by-step explanation:

3x+7y-12=0

3x+7y=12

3x=12-7y

x=12-7y/3

8 0
3 years ago
Please help please please help
fredd [130]

Answer:

The answer is the first option because 2÷2=1 and 10÷2=5

4 0
2 years ago
The cost that a carpet cleaning company charges is directly proportional to the number of rooms cleaned. The cost is $22 for eac
Mazyrski [523]

Answer:

22x=22$ per room

Step-by-step explanation:


7 0
3 years ago
To amend a country’s constitution 5/6 of the 63 states in that country must be approve the amendment. If the 59 states approve a
Readme [11.4K]

Answer:

Yes

Step-by-step explanation:

Divide the number of states by 6 then find what 5 of those 6groups would be...

63 divided by 6 is 10.5 & 10.5 times 5 is 52.5 that means at least 53 states have to approve. 59 is greater then 53

7 0
3 years ago
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