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Rom4ik [11]
2 years ago
15

Write an equation of a line that passes through the point (8, 4) and is parallel to the line y = 4x + 2.

Mathematics
2 answers:
IRINA_888 [86]2 years ago
8 0
y = 4x - 28 is the equation of a line that passes through the point (8, 4) and is parallel to the line y = 4x + 2. 
NemiM [27]2 years ago
4 0
-----------------------------------------------------------
Find Slope :
-----------------------------------------------------------
y = 4x + 2
Slope = 4
Slope of the Parallel line = 4

-----------------------------------------------------------
Substitute slope = 4 :
-----------------------------------------------------------
y = mx + b 
y = 4x +b

-----------------------------------------------------------
Find y-intercept :
-----------------------------------------------------------
y = 4x + b 
At point (8, 4), x = 8 when y = 4
4 = 4(8) + b
4 + 32 + b
b = 4 - 32
b = -28

-----------------------------------------------------------
Substitute y-intercept into the equation :
-----------------------------------------------------------
y = 4x - 28

-----------------------------------------------------------
Answer : y = 4x - 28 (Answer A)
-----------------------------------------------------------
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Troy made a scale drawing of the Statue of Liberty which has an actual height of 305 feet. He decides to use a scale in which 1
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The height of statue is 12.2 inches in Troy's drawing.

Step-by-step explanation:

Given,

Actual height of statue = 305 feet

Scale used by Troy;

25 feet = 1 inch

1 feet = \frac{1}{25}\ inches

305 feet = \frac{1}{25}*305 \ inches

305 feet = \frac{305}{25}\ inches\\

305 feet = 12.2 inches

The height of statue is 12.2 inches in Troy's drawing.

Keywords: unit rate, division

Learn more about unit rate at:

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2 years ago
William drove 344 miles in 8 hours. If he continued at the same rate, how far would he travel in 17 hours?
DiKsa [7]

Answer:

731 miles

Step-by-step explanation:

To solve this, we can set up a proportion.

Let's name the number of miles he travels in 17 hours x for now.

8/344=17/x

Simplify 8/344

2/86=17/x

Cross multiply

86*17=2*x

2x=1462

Divide both sides by 2.

x=731

He would travel 731 miles in 17 hours.

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