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luda_lava [24]
3 years ago
7

Find the slope of the line that passes

Mathematics
2 answers:
Sergio [31]3 years ago
6 0

Answer:

Slope = -1

Step-by-step explanation:

patriot [66]3 years ago
6 0

Answer:

Slope= -1

Step-by-step explanation:

The formula for slope is (m being slope) m=y2-y1/x2-x1

You are given the points (-3,4) and (2,-1)

-1 is going to be y2 and 4 is going to be y1

2 is x2 and -3 is x1

Plug these into the formula:

m= -1 - 4/2-(-3) = -5/5=-1

Slope=-1

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Simplify sin Θ/√1-sin^2 Θ
dedylja [7]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2862279

_______________


Simplify the trigonometric expression.

Call the expression E:

\mathsf{E=\dfrac{sin\,\theta}{\sqrt{1-sin^2\,\theta}}\qquad\qquad(but~~1-sin^2\,\theta=cos^2\,\theta)}\\\\\\
\mathsf{E=\dfrac{sin\,\theta}{\sqrt{cos^2\,\theta}}}\\\\\\
\mathsf{E=\dfrac{sin\,\theta}{\left|cos\,\theta\right|}}}


\mathsf{E}=\left\{\!\begin{array}{rl}\mathsf{\dfrac{sin\,\theta}{cos\,\theta}\,,}&\mathsf{\quad if~~cos\,\theta>0}\\\\\mathsf{\dfrac{sin\,\theta}{-\,cos\,\theta}\,,}&\mathsf{\quad if~~cos\,\theta


So basically E is equivalent to \pm\,\mathsf{tan\,\theta}, where the sign depends on which quadrant \theta lies. Shortly,

\mathsf{\dfrac{sin\,\theta}{\sqrt{1-sin^2\,\theta}}}=\left\{\!
\begin{array}{rl}
\mathsf{tan\,\theta,}&\mathsf{\quad if~\theta~lies~either~in~the~1^{st}~or~the~4^{th}~quadrant}\\\\
\mathsf{-\,tan\,\theta,}&\mathsf{\quad if~\theta~lies~either~in~the~2^{nd}~or~the~3^{rd}~quadrant}
\end{array}


I hope this helps. =)


Tags:  <em>simplify trigonometric trig expression sine cosine tangent sin cos tan absolute value modulus trigonometry</em>

4 0
3 years ago
Read 2 more answers
Which scatterplot correctly represents the table of values below? Number of years collecting stamps Number of stamps in collecti
schepotkina [342]

Answer:

C. A graph titled Years Collecting Stamps versus Stamps in Collection has years collecting stamps on the x-axis and stamps in collection on the y-axis. Points are at (2, 100), (3, 100), (3, 125), (4, 150), (4, 175), (5, 175)

Step-by-step explanation:

In the x-axis goes the values from the column 'Number of years collecting stamps' of the table. And In the y-axis goes the values from the column 'Number of stamps in collection' of the table.

To make the graph identify each pair of values in the plane and mark it.

4 0
3 years ago
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Is 49 greater than or less than 7.1​
vladimir2022 [97]

Answer:

Greater

Step-by-step explanation:

just because

6 0
3 years ago
Read 2 more answers
What is equalvent to 7:15 A 21:45 b 14:45 c 3:5 d65:135
Ivanshal [37]

Answer:

its a 21:45

Step-by-step explanation: it a because 7x3 will equal 21  you got 21 in there. 15 x 3 will equal 45 and you got 45 there so a is your answer.

5 0
3 years ago
5. The Riverside Geyser in Yellowstone National Park erupts
Anastasy [175]

Answer:

Step-by-step explanation:

<h3>A.</h3>

The equation for the model of the geyser is found by substituting the given upward velocity into the vertical motion model. The problem statement tells us v=69. We assume the height is measured from ground level, so c=0. Putting these values into the model gives ...

  h(t) = -16t² +69t

__

<h3>B.</h3>

The maximum height is at a time that is halfway between the zeros of the function.

  h(t) = -16t(t -4.3125) . . . . . has zeros at t=0 and t=4.3125

The maximum height will occur at t=4.3125/2 = 2.15625 seconds. The height at that time is ...

  h(t) = -16(2.15625)(2.15625 -4.3125) = 16(2.15625²) ≈ 74.39 . . . feet

The maximum height of the geyser is about 74.4 feet.

4 0
2 years ago
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