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GaryK [48]
3 years ago
14

How would I graph 2x+3y=−9

Mathematics
1 answer:
Norma-Jean [14]3 years ago
6 0

2x+3y=-9

slope formula :y= mx+b

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

Need to change 2x+3y=-9 into slope formula

3y= -2x-9

Divide by 3

y=-2/3x-3

Now Graphing :

1. Do the y- intercept first and then the slope.

2. Put a dot on the y-axis for -3

3. Then the slope.

4. Count down 2 from -3.

5. You will go down to -5.

6. Go across three times. Put a dot .

The line will be straight.

That's it .

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Determine whether 81a2 − 25z6 is a difference of two squares. If so, factor it. If not, explain why.
aev [14]

81 a² - 25 z^{6} is a difference of two squares and its factors are (9a + 5z³) and (9a - 5z³)

Step-by-step explanation:

The difference of two squares is a binomial of two terms each term is a square and the sign between the two terms is (-), its factorization is the product of two identical binomials with different middle signs

  • a² - b² is a difference of two squares
  • a² - b² = (a + b)(a - b)

∵ The binomial is 81 a² - 25 z^{6}

∵ \sqrt{81} = 9

∵ \sqrt{a^{2} } = a

∴ \sqrt{81a^{2}}=9a

∵ \sqrt{25} = 5

∵ \sqrt{z^{6}} = z³

∴ \sqrt{25z^{6}}=5z^{3}

- The two terms have square root

∵ The sign between them is (-)

∴ 81 a² - 25 z^{6}  is a difference of two squares

∵ Its factorization is two identical brackets with different

   middle signs

∵ 81 a² = 9a × 9a

∵ 25 z^{6} = 5z³ × 5z³

- The terms of the two brackets are 9a and 5z³

∴ 81 a² - 25 z^{6} = (9a + 5z³)(9a - 5z³)

81 a² - 25 z^{6} is a difference of two squares and its factors are (9a + 5z³) and (9a - 5z³)

Learn more:

You can learn more about the difference of two squares in brainly.com/question/1414397

#LearnwithBrainly

7 0
3 years ago
A fair charges an admission fee of 2 dollars for each person. Let a be the cost of admission (in dollars) for P people. Write an
Tomtit [17]

Answer:

a = 2p

Step-by-step explanation:

Given

Admission\ Fee = \$2 per person

Required

Represent as an equation

For 1 person, the admission fee is 2

For p people, the admission fee will be 2p.

Hence:

a = 2p

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2 years ago
Help plz explain how to use discributive property
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1.Identify the fractions. Using the distributive property, you’ll eventually turn them into integers.

2.For all fractions, find the lowest common multiple (LCM) -- the smallest number that both denominators can fit neatly into. This will allow you to add fractions.

3.Multiply every term in the equation by the LCM.

4.Isolate variables adding or subtracting like terms on both sides of the equals sign.

5.Combine like terms.

6.Solve the equation and simplify, if needed.

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A student tries out for the track team and runs a lap in 45 seconds. The coach tells her she will have to cut her time by 50% to
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Cutting her time by 50% means reducing her time by half. Half of 45 seconds is 22.5 seconds. Therefore, to make the team, she must run a lap in 22.5 seconds.
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