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Mandarinka [93]
3 years ago
14

Give the prime factorization of the number. use exponents when possible 126

Mathematics
1 answer:
nataly862011 [7]3 years ago
3 0

Answer:

=2*3^2 *7

Step-by-step explanation:

Prime factorization means to simplify 126 down to prime numbers

126 = 2*63

     = 2* 9*7

     = 2*3*3*7

Since 2 3 and 7 are prime numbers, we rewrite these with exponents

     =2*3^2 *7

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A check register is a good source of information for budget planning purposes. True False
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false

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3 years ago
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Match the two numbers with their least common multiple (LCM).
timurjin [86]

Answer:

  • 8 and 4: A
  • 8 and 6: C
  • 8 and 10: B

Step-by-step explanation:

<u>8 and 4:</u>

Multiples of 8: 8, 16, 24

Multiples of 4: 4, 8, 12, 16

<u>8 and 6:</u>

Multiples of 8: 8, 16, 24

Multiples of 6: 6, 12, 18, 24

<u>8</u><u> </u><u>and</u><u> </u><u>10</u><u>:</u>

Multiples of 8: 8, 16, 24, 32, 40

Multiples of 10: 10, 20, 30, 40

4 0
3 years ago
the slope of a line passing through h (-2, 5) is -3/4. Which ordered pair represents a point on this line? ​
rosijanka [135]

Answer:

A

Step-by-step explanation:

Calculate the slope of the given points with the point (- 2,  5 )

If the slope is - \frac{3}{4} then the point is on the line

Calculate slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (6, - 1)

m = \frac{-1-5}{6+2} = \frac{-6}{8} = - \frac{3}{4} ← point (6, - 1) is on the line

Repeat with (x₁, y₁ ) = (- 2, 5 ) and (x₂, y₂ ) = (2, 8)

m = \frac{8-5}{2+2} = \frac{3}{4} ← point (2, 8) is not on the line

Repeat with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (- 5, 1)

m = \frac{1-5}{-5+2} = \frac{-4}{-3} = \frac{4}{3} ← point (- 5, 1) is not on the line

Repeat with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (1, 1)

m = \frac{1-5}{1+2} = - \frac{4}{3} ← point (1, 1) is not on the line

Thus the point on the line is (6, - 1 ) → A

4 0
3 years ago
Can anyone help me solve these linear systems using substitution?
Andre45 [30]

Answer:

1. (2,2)

2. (-20, -1)

3. (4,3)

Step-by-step explanation:

See attached images

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No work needs to be shown. just please help.
coldgirl [10]

Answer:

a=13

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c=16.25

d=26.25

Step-by-step explanation:

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4 years ago
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