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4 years ago

What is the slope of (-8, 2) and (1, -4).

Mathematics

2 answers:

Airida [17]4 years ago

8 0

Answer:

-2/3

Step-by-step explanation:

To find the slope of two points

m = (y2-y1)/ (x2-x1)

= (-4-2)/(1--8)

= (-4-2)/(1+8)

= -6/9

-2/3

Lady_Fox [76]4 years ago

7 0

Answer:

$\large\boxed{\text{The slope}\ m=-\dfrac{2}{3}}$

Step-by-step explanation:

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (-8, 2) and (1, -4). Substitute:

$m=\dfrac{-4-2}{1-(-8)}=\dfrac{-6}{9}=-\dfrac{6}{9}=-\dfrac{6:3}{9:3}=-\dfrac{2}{3}$

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What two numbers multiply to -126 and add up to -65

Airida [17]

Xy = -126
x + y = -65

$xy = -126$
$\frac{xy}{x} = \frac{-126}{x}$
$y = \frac{-126}{x}$

$x + y = -65$
$x + \frac{-126}{x} = -65$
$\frac{x^{2}}{x} + \frac{-126}{x} = -65$
$\frac{x^{2} - 126}{x} = -65$
$-65x = x^{2} - 126$
$0 = x^{2} + 65x - 126$
$x = \frac{-(65) \+ \sqrt{(65)^{2} - 4(1)(-126)}}{2(1)}$
$x = \frac{-65 \± \sqrt{4225 + 504}}{2}$
$x = \frac{-65 \± \sqrt{4729}}{2}$
$x = \frac{-65 \± 68.8}{2}$
$x = \frac{-65 + 68.8}{2}$ $or$ $x = \frac{-65 - 68.8}{2}$
$x = \frac{3.8}{2}$ $or$ $x = \frac{-133.8}{2}$
$x = 1.9$ $or$ $x = -66.9$

x + y = -65
  1.9 + y = -65
- 1.9   - 1.9
y = -66.9
  (x, y) = (1.9, -66.9)

or

  x + y = -65
  -66.9 + y = -65
+ 66.9 + 66.9
y = 1.9
  (x, y) = (-66.9, 1.9)

The two numbers that add up to -65 and can multiply to -126 are the numbers -66.9 and 1.9.

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olga2289 [7]

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malfutka [58]

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A bathtub is draining at a constant rate. After 2 minutes, it holds 30 gallons of water. Three minutes later, it holds 12 gallon

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equation would be: y = -18x

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