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Wewaii [24]
2 years ago
8

Consider the line y = 3/8x + 3

Mathematics
1 answer:
Finger [1]2 years ago
6 0

Answer:

Perpendicular line y = (- 8/3)x - 76/3.

Parallel line y = (3/8)x - 1

Step-by-step explanation:

y = 3/8

x + 3

1) Perpendicular line has negative reciprocal slope.

m = - 8/3

y = (- 8/3)x + b

Point (-8, - 4)

- 4 = (- 8/3)*(-8) + b

-4 - 64/3 = b

b = - 76/3

y = (- 8/3)x - 76/3

2) Parallel line has the same slope.

m = 3/8

y = (3/8)x + b

Point (-8, -4)

- 4 = (3/8)*(- 8) + b

- 4 + 3 = b

b = - 1

y = (3/8)x - 1

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Step-by-step explanation:

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Water freezes at 0^\circ0
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Leo's water is at a greater temperature. And Manoj's water is closer to freezing.

<h3>What is the temperature?</h3>

The temperature refers to the degree of hotness ant coldness of the substance.

Water freezes at 0 °C.

Manoj's water is 3 °C.

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The complete question is attached below.

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
Read 2 more answers
3. Lonnie has a gift card worth $600 for a local entertainment store. Movies cost $20 each and newly released video games cost $
Mandarinka [93]

Answer:

8 movies and 6 video games

<em></em>

Step-by-step explanation:

Given

Gift\ Card = \$600

Movies =\ $20

Video\ Game = \$50

Minimum\ Items = 13

Required

Determine the items Lonnie can afford

To solve this question, we make use of trial by error method by taking the options one at a time:

Option 1: 6 movies and 4 video games

<em>This option can not be considered because the number of items is not up to the minimum Lonnte must purchase.</em>

<em />

Option 2: 14 movies and 7 video games

Cost = 14 * \$20 + 7 * \$50

Cost = \$280 + \$350

Cost = \$630

<em>This option can not be considered because the cost of purchase is greater than Lonnte's worth of Gift card.</em>

<em />

Option 3: 2 movies and 10 video games

<em>This option can not be considered because the number of items is not up to the minimum Lonnte must purchase.</em>

<em />

Option 4: 8 movies and 6 video games

Cost = 8 * \$20 + 6 * \$50

Cost = \$160 + \$300

Cost = \$460

Hence, the correct option is <em>8 movies and 6 video games </em>

4 0
2 years ago
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