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Dahasolnce [82]
3 years ago
7

Find the prime factorization of 108

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
7 0

Answer:

2^2 * 3^3

Step-by-step explanation:

When breaking of 108 into factors, you first get 9 and 12. Then, the 9 gets split into a 3 and a 3. Meanwhile the 12 is split into a 3 and a 4. Finally the 4 is split into a 2 and a 2. So you end up with 2*2*3*3*3, which is the same as 2^2 * 3^3

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What is the slope of the line joining (-4,7) and (-5,0)?
Inga [223]

Answer:

slope = 7

Step-by-step explanation:

To calculate the slope m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 4, 7) and (x₂, y₂ ) = (- 5, 0)

m = \frac{0-7}{-5+4} = \frac{-7}{-1} = 7

6 0
3 years ago
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COME ON ITS 1 QUESTION FOR 50 POINTS!
ale4655 [162]

Answer:

a = 3

b = 2

c = 0

d = -4

Step-by-step explanation:

Form 4 equations and solve simultaneously

28 = a(2)³ + b(2)² + c(2) + d

28 = 8a + 4b + 2c + d (1)

-5 = -a + b - c + d (2)

220 = 64a + 16b + 4c + d (3)

-20 = -8a + 4b - 2c + d (4)

(1) + (4)

28 = 8a + 4b + 2c + d

-20 = -8a + 4b - 2c + d

8 = 8b + 2d

d = 4 - 4b

Equation (2)

c = -a + b + d + 5

c = -a + b + 4 - 4b+ 5

c = -a - 3b + 9

28 = 8a + 4b + 2c + d (1)

28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b

28 = 6a - 6b + 22

6a - 6b = 6

a - b = 1

a = b + 1

220 = 64a + 16b + 4c + d (3)

220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b

220 = 60b + 100

60b = 120

b = 2

a = 2 + 1

a = 3

c = -3 - 3(2) + 9

c = 0

d = 4 - 4(2)

d = -4

8 0
3 years ago
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Plz help for points plzzz
White raven [17]

Answer: 5.3

Step-by-step explanation: Do 9.8 (Friend swim depth) - 4.5 (dolphin jump height) to get your answer.

4 0
3 years ago
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What is the equation of this line?<br> Please Help <br><br> Y=4x<br> Y=-1/4x<br> Y=-4x<br> Y=1/4x
Sveta_85 [38]

Answer: Y=-1/4x

Step-by-step explanation:

A good way to find an equation of a line is to look for the slope. An obvious spot on this line would be when it crosses (0,0), and another one to the right would be when it crosses at (4,-1).

The slope is rise over run, or if we use the two points we found, "rise" would be -1, because it's dropping 1 unit when going from (0,0) to (4,-1), and the "run" would be 4, because it moves to the right 4 from (0,0) to (4,-1).

Putting these two values together we get:

m (slope) = rise / run

m = -1 / 4

Out of all the equations we're given, we can look for the one with a slope of -1/4, which is given to us:

y = (-1/4)x

7 0
3 years ago
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taurus [48]

Answer:

A

Step-by-step explanation:

because it makes more sense

6 0
3 years ago
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