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Dvinal [7]
3 years ago
6

Write the equation of a line that is perpendicular to 3x-6y=12 and passes through the point (-4,3).​

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
4 0

Answer:

y=-3x+3 I think

Step-by-step explanation:

opposite reciprocal and use the new points y value?

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meriva

Answer:

\tan \theta = - \frac{1}{5} = - 0.2

\cos \theta = 0.98

\sin \theta = - 0.196

Step-by-step explanation:

It is given that \cot \theta = - 5 and \theta is in the fourth quadrant.

So, only \cos \theta will have positive value and \sin \theta, \tan \theta will have negative value.

Now, \cot \theta = - 5

⇒ \tan \theta = \frac{1}{\cot \theta} = -\frac{1}{5} (Answer)

We know, that \sec^{2} \theta - \tan^{2} \theta = 1

⇒ \sec \theta = \sqrt{1 + \tan^{2} \theta } = \sqrt{1 + (- \frac{1}{5} )^{2} } = 1.019

{Since, \cos \theta is positive then \sec \theta will also be positive}

⇒ \cos \theta = \frac{1}{\sec \theta} = \frac{1}{1.0198} = 0.98 (Answer)

We know, that \csc^{2} \theta - \cot^{2} \theta = 1

⇒ \csc \theta = - \sqrt{1 + \cot^{2} \theta } = - \sqrt{1 + (- 5 )^{2} } = - 5.099

{Since, \sin \theta is negative then \csc \theta will also be negative}

⇒ \sin \theta = \frac{1}{\csc \theta} = \frac{1}{- 5.099} = - 0.196 (Answer)

4 0
3 years ago
Ben earns 9 dollars per hour and 6 dollars for each delivery he makes.He wants to earn more than 155 dollars in a 8 hour work da
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9 x 8 = 72
155 - 72 = 83
83 divided by 6 =13.8

So he has to make at least 14 deliveries in order to reach his goal.
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Answer:

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Step 4: Fill in the leaves. ...

Step 5: Sort the leaf data.

Step-by-step explanation:

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