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Papessa [141]
3 years ago
11

Why does a horizontal line have a slope of zero, but a vertical line have an undefined slope?

Mathematics
1 answer:
shusha [124]3 years ago
8 0
Refer to the diagram shown below.
Define two positions on each line as A (x₁, y₁) and B(x₂, y₂).
Then the slope is
m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Horizontal line:
Define A (0, 1) and B (1,1).
The slope is
m= \frac{1-1}{1-0}=0

Vertical line:
Define A( (1,0) and B(1,1).
The slope is
m= \frac{1-0}{1-1}= \frac{1}{0}  (undefined)

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9x^3+4x^2+4x-8

4 0
3 years ago
If f(x)=-3x+1 then f^-1(x)=
enyata [817]

Answer:

f^-1 (x) = (1 - x)/3.

Step-by-step explanation:

f(x) = -3x + 1

3x = 1 - f(x)

x = (1 - f(x)) / 3

So f^-1 x = (1 - x)/3.

6 0
3 years ago
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Polygon ABCD is translated to create polygon A′B′C′D′. Point A is located at (1, 5), and point A′ is located at (-2, 1). What is
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6 0
4 years ago
If sin Θ = 2 over 3 and tan Θ < 0 , what is the value of cos Θ?
Zielflug [23.3K]

\sin \theta = \dfrac 2 3

\tan \theta < 0

Positive sine, negative tangent, means we have a negative cosine.  We're talking about the second quadrant.

\cos^2 \theta + \sin ^2 \theta = 1

\cos^2 \theta = 1 - \sin ^2\theta

\cos \theta = \pm \sqrt{1 - \sin ^2\theta}

We know it's negative,

\cos \theta = - \sqrt{1 - (2/3)^2} =-\sqrt{5/9} = - \dfrac 1 3 \sqrt{5}

Answer: -(1/3)√5

4 0
3 years ago
Help me please ...................need the answer right away
postnew [5]

Answer:

linear

Step-by-step explanation:

The easiest (if not the only) way to solve this, is to check whether the slope at each point stays constant, or not. And in general, see how the rate rate of change evolves. In other words:

  • 6.5 / 5 = 1.3
  • 13 / 10 = 1.3
  • 19.5 / 15 = 1.3
  • 26 / 20 = 1.3
  • 32.5 / 25 = 1.3
  • 39 / 30 = 1.3

As you can see " in every step to the right, the function goes up by 1.3 " --> constant

So, the function is linear

3 0
3 years ago
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