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Lera25 [3.4K]
3 years ago
11

Find the slope of each set of points.

Mathematics
1 answer:
Elza [17]3 years ago
5 0

Answer:

1. (4, 3) and (-3, 4) has  Slope  = -1/7  

2.(-2, 0) and (8, -4) has Slope  = -2/5

Step-by-step explanation:

If two such points (a,b) and (c,d) are given, then the slope S is given as:

S = (\frac{d-b}{c-a} )

Now here, the given set of points are:

1. (4, 3) and (-3, 4)

Here, the slope S  = (\frac{4-3}{-3-4})  = (\frac{1}{-7})  = -(\frac{1}{7})

⇒ S  = -1/7

1. (-2, 0) and (8, -4)

Here, the slope S  = (\frac{-4-0}{8-(-2)})  = (\frac{-4}{10})  = -(\frac{2}{5})

⇒ S  = -2/5

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Answer:

A

Step-by-step explanation:

Given

x² - 13x + 30

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The factors are - 3 and - 10, since

- 3 × - 10 = + 30 and - 3 - 10 = - 13 , thus

x² - 13x + 30 = (x - 3)(x - 10) ← in factored form

Thus (x - 3) is a factor of the polynomial → A

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3 years ago
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Answer:

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Step-by-step explanation

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3 years ago
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gtnhenbr [62]

Answer:

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Step-by-step explanation:

To determine the number of years needed for the company to process a certain amount of milk, we use the given function which relates the number of years, x, and the gallons of milk, y. We simply substitute the number of gallons to y and solve for x.  

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7 0
3 years ago
The diagram shows the graph of y = 2x + c, where c is a constant find the value of K.​
mote1985 [20]

Answer:

k=\frac{13}{2}

Step-by-step explanation:

The equation y=2x+c is a <em>linear equation</em>. By definition, the independent term on this equation (that is, the number that is not being multiplied by x) is the <em>y-intercept</em>, which is a fancy way of saying "the point where the line crosses the y-axis".

By looking at the equation, we know that our y-intercept is <em>c. </em>By looking at the graph, we can see that the y-intercept is -3. Therefore, c=-3 and we get the complete version of our linear equation:

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Now, looking at the graph we can see that the point (k,10) lies on the line of the equation, which means that the point is a solution to our equation. All we have to do is replace x and y by the values of the given point (which are k and 10, respectively), and then solve for k:

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4 0
3 years ago
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What is the midpoint M of that line segment?
topjm [15]

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