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slavikrds [6]
3 years ago
14

Write the equation of a line perpendicular to y=2x-5 that passes through the point (-2,5)

Mathematics
1 answer:
yawa3891 [41]3 years ago
3 0

y = mx + b

The product of slopes of perpendicular lines is -1.  The slope of the given line is 2, so the slope of the perpendicular line is -1/2.

y = (-1/2)x + b

Now use the given point to find b and finish from here.

-5 = (-1/2)(2) + b

b = ?

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Given that tangent theta = negative 1, what is the value of secant theta, for StartFraction 3 pi Over 2 EndFraction less-than th
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The value of tangent theta is equal to the negative 1.  At this value the value of secant theta is \sqrt{2}.

<h3>What is tangent theta?</h3>

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

\rm tan\theta=\dfrac{sin \theta}{cos \theta}

Given information-

The value of tangent theta is equal to the negative 1.

\tan \theta=-1

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

\rm tan\theta=\dfrac{sin \theta}{cos \theta}

The value of tangent theta is equal to the negative 1. Thus put the value in above expression as,

\rm -1=\dfrac{sin \theta}{cos \theta}\\

Simplify it further as,

\rm -cos \theta=sin \theta

When the value of cosine and sine theta is equal, then the angle exist in 4th quadrant with the value of \dfrac{7\pi}{4}. Which extent to the \sqrt{2}/2 for the cosine function.

In the trigonometry cosine theta is the reciprocal of the secant theta. Thus,

\rm \dfrac{1}{sec\theta}=\dfrac{\sqrt{2}}{2}\\sec\theta=\sqrt{2}

Thus the value of secant theta is \sqrt{2}

Learn more about the tangent theta here;

brainly.com/question/29190

4 0
2 years ago
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Question 4 (Multiple Choice Worth 5 points)
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When Ms. Morgan went hiking with Fuego, she saw a total of 25 tress. 6 of the trees were Elm trees. What percentage of trees wer
irina [24]

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24%

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Step-by-step explanation:

There are a total of 25 trees

6 were Elm Trees

The fraction of trees that were Elm trees are 6 / 25

Converting this fraction to percentage = 6 / 25 x 100 = 24%

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Find a positive and a negative coterminal angle for each given angle.<br> 75 degrees
maxonik [38]

Answer:

Positive co terminal angle = -105°

Negative co terminal angle = 225°

Step-by-step explanation:

We have been given the angle 75° and we have to find one positive and one negative co-terminal angle.

In order to find the co terminal angle, we add and subtract 180° to the given angle.

Therefore, the negative co terminal angle is given by

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And the positive co terminal angle is given by

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