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Anton [14]
3 years ago
13

Is there a relationship between the difference of the integers and the distance between them?

Mathematics
1 answer:
Nataly_w [17]3 years ago
3 0

Well, there's really no such thing as the "distance between integers",
because numbers are not physical things that you can set on a table.

One way of representing integers is to draw a picture of a "number line",
and put marks at the positions of the integers.  When you do that, the
difference between two integers and the distance between their marks
on the number line are exactly the same.
 
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Can you exchange the coordinates of points ( x 1, y 1) and ( x 2, y 2) in the distance formula and still find the correct distan
notka56 [123]

Answer:

yes

Step-by-step explanation:

As an example

(x₁, y₁ ) = (1,2) and (x₂, y₂ ) = (5,3), then

d = \sqrt{(5-1)^2+(3-2)^2} = \sqrt{4^2+1^2} = \sqrt{16+1} = \sqrt{17}

Now let (x₁, y₁ ) = (5,3) and (x₂, y₂ ) = (1,2), then

d = \sqrt{(1-5)^2+(2-3)^2} = \sqrt{(-4)^2+(-1)^2} = \sqrt{16+1} = \sqrt{17}


3 0
3 years ago
Mrs. Wolboldt ordered her daughter a book that cost $18.00. Tax is 6%. How much tax will she have to pay????
UNO [17]

Answer:

$ 1.80

Step-by-step explanation:

7 0
3 years ago
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The angle of elevation to the top of a skyscraper is measured to be 2 degrees from a point on the ground 1 mile from the buildin
Alex

Answer:

0.034921 miles or 1843774 feet tall

Step-by-step explanation:

Using trigonometric functions we know that x=rcos(\theta) and y=rsin(\theta) where \theta=angle and r is the hypotenuse of the triangle.

First we will calculate the hypotenuse using the x equation, since we know x = 1 mile (distance from the building on the ground) we have:

x=rcos(\theta)\\\\1=rcos(2)\\\\r=\frac{1}{cos(2)} \approx. 1.0061mi

Now we will calculate the height of the building using the y equation and so:

y=rsin(\theta)\\\\y=\frac{1}{cos(2)} \times sin(2) = \frac{sin(2)}{cos(2)}=tan(2)=0.034921mi

The building is 0.034921 miles or approximately 184.3774 feet tall.

4 0
3 years ago
Which of these values would you most likely see on a U.S. speed limit sign?
Ira Lisetskai [31]

Answer:

A. 55 miles/hour

Step-by-step explanation:

7 0
3 years ago
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42 is 96% of what number?
Law Incorporation [45]
Let, the number = x
It would be: x * 96% = 42
x * 0.96 = 42
x = 42 / 0.96
x = 43.75

In short, Your Answer would be 43.75

Hope this helps!
7 0
3 years ago
Read 2 more answers
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