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BabaBlast [244]
3 years ago
14

Find the slope of the line passing through the points (7, -2) and (3, - 7).

Mathematics
1 answer:
professor190 [17]3 years ago
3 0

Answer:

m = \frac{5}{4}

Step-by-step explanation:

To find the slope, we have to use the slope formula:

m = \frac{y_2 -y_1}{x_2 - x_1}.

Let (x_1,y_1) = (7, -2) and (x_2,y_2) = (3, -7). Then

m = \frac{(-7)-(-2)}{3-7} = \frac{-5}{-4} = \frac{5}{4}

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4 + -5 * -1 + 8=? <br> i need help so yeah
Natasha2012 [34]

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1

Step-by-step explanation:

4+(-5*-1)-8

4+5-8

9-8

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2 years ago
Hey I need help with this question:<br><br> 6(x-3)^2-26 = 10
ra1l [238]

Answer:

x = 3 ±sqrt(6)

Step-by-step explanation:

6(x-3)^2-26 = 10

Add 26 to each side

6(x-3)^2-26+26 = 10+26

6(x-3)^2 = 36

Divide by 6

6/6(x-3)^2 = 36/6

(x-3)^2 = 6

Take the square root of each side

sqrt((x-3)^2) = ±sqrt(6)

x-3 =  ±sqrt(6)

Add 3 to each side

x-3+3 =3 ±sqrt(6)

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7 0
3 years ago
Which graph represents the function of f(x) = 9x 2 -36/3x+6 Please help
UkoKoshka [18]
The function is:

             (9x^2 - 36)
f(x) = ---------------------
                3x + 6

You can simplify that function to a linear function for all x for which 3x + 6 ≠ 0

=> x ≠ - 2.

So, for x ≠ - 2, you can do:


             (9x^2 - 36)
f(x) = --------------------- =
               3x + 6

              9(x^2 - 4)
f(x) = ---------------------
                3(x + 2)

             3(x + 2)(x - 2)
f(x) = --------------------- = 3(x - 2) = 3x - 6
                 (x + 2)

So, the graph is a right line that intercepts the y-axis at - 6 and the x-axis at x = 2, excluding x = -2 as the function is not defined for x = -2. That is the second graph of the second picture.


6 0
3 years ago
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