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Usimov [2.4K]
3 years ago
13

Serena was planning out her model railroad setup, and wants to be able to boast about it on her social media. She wants the cent

erpiece to be a scaled down version of Union Station, but wants to make sure she has enough space in her grandfather's basement. Her railroad is in N Scale, 1:160 (one foot on the model is 160 feet in real life). If Denver's Union Station is 495 feet long, how many inches long will the model be as a mixed number?​
Mathematics
2 answers:
stepan [7]3 years ago
8 0

Answer:

idk sorry

Step-by-step explanation:

DerKrebs [107]3 years ago
3 0

Answer:4

Step-by-step explanation:

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Consider the graph of the line y = x – 4 and the point (−4, 2).
Hitman42 [59]

Answer:

a. The slope  of a line parallel to the given line is 1

b. A point on the line parallel to the given line, passing through (−4, 2), is  (1,7)

c. The slope of the line perpendicular to the given line is -1

d. A point on the line perpendicular to the given line, passing through (−4, 2), is (3,-5)

Step-by-step explanation:

The equation of the line in Slope-intercept form  is:

y=mx+b

Where m is the slope and b is the y-intercept.

a. For the line y = x - 4

You can identify that:

m=1

 By definition, two lines are parallel if they have the same slope. Then, the  slope of a line parallel to the given line is:

m=1

b. The equation of the line in Point-slope form is:

y -y_1 = m(x - x_1)

Where m is the slope and (x_1,y_1)  is a point of the line.

Given the point (-4,2), substitute this point and the slope of the line into the equation:

 y -2 = (x +4)

Give a value to "x", substitute it into this equation and solve for "y":

For x=1 :

y -2 = (1 +4)

y= 5+2

y= 7

Then, you get the point (1,7)

c. The slopes of perpendicular lines are negative reciprocals, then the  slope of a line perpendicular to the given line is:

m=-\frac{1}{1}\\\\m=-1

d. Given the point (-4,2), substitute this point and the slope of the line into the equation:

 y -2 = -1(x +4)

 y -2 = -(x +4)

Give a value to "x", substitute it into this equation and solve for "y":

For x=3 :

y -2 = -(3 +4)

y= -7+2

y= -5

Then, you get the point (3,-5)

8 0
3 years ago
Answer the following questions about 2 numbers chosen from the numbers 1 through 12 (including 1 and 12): Suppose the numbers ar
Nana76 [90]
Forts then you take the 1-6 to get the money back and get your credit
3 0
2 years ago
Will y=2 (x-3)²-7 make a parabola or a circle
loris [4]

Answer:

Parabola

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
I need help to solve it
Sidana [21]

Answer:

She will earn £9.01 per hour after the pay rise

Step-by-step explanation:

Here, we want to calculate a value, given the percentage of the pay rise

From the question, the percentage is 6%

The pay rise is thus;

8.50 + 6% of 8.50

= 8.50 + (6*8.5)/100

= 8.50 + 0.51

= £9.01

4 0
3 years ago
If the first chapter of a certain book is 28 pages long and makes up 4% of the book, how many pages does the entire book have?
Schach [20]

Answer:

700 pages

Step-by-step explanation:

I first found out how many pages were in 1% so I divided 28 by 4.  

I got 7 so I multiplied it by 100 and 700 was the answer.

Basically:

28÷4 = 7

7 x 100 = 700

I hope that kinda made sense!

8 0
3 years ago
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