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harina [27]
3 years ago
8

Find the slope of the line graphed below.

Mathematics
1 answer:
svlad2 [7]3 years ago
3 0

Answer:

Therefore the Slope of the line is

Slope=-\dfrac{3}{5}

Step-by-step explanation:

Given:  

Let,  

point A( x₁ , y₁) ≡ ( 1 , -5)

point B( x₂ , y₂ )≡ (-4 , -2)

To Find:  

Slope of Line AB =?  

Solution:  

Slope of line between Two points is given as

Slope(AB)=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }

Substituting the values we get

Slope=\dfrac{-2-(-5)}{-4-1}=\dfrac{3}{-5}

Therefore the Slope of the line is

Slope=-\dfrac{3}{5}

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Step-by-step explanation:

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What is 2.125 as a fraction?
Nuetrik [128]

2.125 = 17/8 = 21/8 as a fraction


Step by Step Solution

To convert the decimal 2.125 to a fraction follow these steps:


Step 1: Write down the number as a fraction of one:


2.125 = 2.125/1


Step 2: Multiply both top and bottom by 10 for every number after the decimal point:


As we have 3 numbers after the decimal point, we multiply both numerator and denominator by 1000. So,


2.125/1 = (2.125 x 1000)/(1 x 1000) = 2125/1000.


Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(2125,1000) = 125. So,


(2125÷125)/(1000÷125) = 17/8 when reduced to the simplest form.


As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 2125/1000 is also equal to 2 1/8 when expressed as a mixed number.


Hope that helps feel free to ask me questions

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3 years ago
An arc with length 5 pi over 4 inches is formed by a 15 degree central angle what is the radius of the circle
Natalka [10]

Answer:

Radius of the circle is <em>15 inches.</em>

<em></em>

Step-by-step explanation:

Relation between length of arc, radius and the angle subtended by the arc on center is:

\theta = \dfrac{l}{r} ..... (1)

where \theta is the central angle in radians subtended by arc

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We are Given the following details:

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Converting \theta to radians:

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Hence, Radius of the circle is <em>15 inches.</em>

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Kayla bought a car that's price was reduced by 34%. The original price for the car was $16,000. How much did she spend on the ca
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