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PIT_PIT [208]
2 years ago
9

Which of the following equations have graphs that are parallel to the graph of the equation y=-3/2x+8?

Mathematics
1 answer:
AfilCa [17]2 years ago
6 0
Parallel lines will have the same slope, but different y int
y = -3/2x + 8....slope = -3/2....y int = 8

(I) 3x + 2y = 10
    2y = -3x + 10
    y = -3/2x + 5....slope = -3/2, y int = 5....this IS parallel

(II) 2x - 3y = 9
     -3y = -2x + 9
     y = 2/3x - 3...slope = 2/3, y int = -3....is not parallel

(III) 6x + 4y = 28
       4y = -6x + 28
       y = -3/2x + 7...slope = -3/2, y int = 7....this IS parallel

(IV) 3x - 2y = 8
      -2y = -3x + 8
      y = 3/2x - 4...slope = 3/2...y int = -4...this is not parallel

solution is : I and III
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Ruslan reads 1/3 of a book every day. He needs to read 4 books for class. HOw long would it take him to read 4 books?
Korolek [52]

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2 years ago
The rectangle shown has a perimeter of 54 cm and the given area. Its length is 3 more than 3 times its width. Write and solve a
algol13

Answer:

Step-by-step explanation:

the perimeter P=2(L+W)=54

P=2L+2W=54 OR L+W=27

we know that L=3W+3

P=3W+W=27-3

4W=24

W=6 CM

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5 0
3 years ago
Bamboo Plant A is 1.2 meters tall and growing at a rate of 0.45 meter per day. Bamboo Plant B is 0.85 meter tall and growing 0.5
pashok25 [27]

Answer:

7 days

Step-by-step explanation:

Bamboo plant A = 1.2 + 0.45d

Bamboo plant B = 0.85 + 0.5d

Where,

d = number of days

Equate the two growth

Bamboo plant A = Bamboo plant B

1.2 + 0.45d = 0.85 + 0.5d

Collect like terms

1.2 - 0.85 = 0.5d - 0.45d

0.35 = 0.05d

Divide both sides by 0.05

d = 0.35 / 0.05

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Plant B be taller than Plant A after 7 days

3 0
2 years ago
6. A surveyor walks the perimeter of a piece of government land. He notes that the area of the land
Vlada [557]

Answer:

A) l = w + 900

B) l * w = 4,000,000

B) l = 4,000,000 / w putting this into A)

A) 4,000,000 / w = w + 900

A) 4,000,000 = w^2 +900 w

A) w^2 +900 w - 4,000,000

Solving by quadratic formula

width = 1,600 length = 2,500

Double-Check

1,600 * 2,500 = 4,000,000

Length = width + 900

2,500 = 1,600 + 900

Answer is okay

Step-by-step explanation:

8 0
3 years ago
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