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3 years ago

If y equals -6 when x equals 9 find X when y equals -3

Mathematics

2 answers:

lora16 [44]3 years ago

8 0

X would equal 12 because, to go from -6 to -3 you would need to add 3. Do the same with nine, 9 + 3 = 12.

Aleonysh [2.5K]3 years ago

6 0

The thought process here is meant to be along these lines:

y = -6 when x =9

y = -3, and -3 is half of -6. so, proportionally speaking, if -3 is half of 6, the x value that the question asks for will have to be half of 9 -- 4.5.

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2 years ago

How can you 83 x 57 estimate

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3 years ago

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3 years ago

Three trigonometric functions for a given angle are shown below. cosecant theta = thirteen-twelfths; secant theta = Negative thi

Kay [80]

Answer:

(–5, 12) is the correct answer.

Step-by-step explanation:

We are given the following values:

$cosec\theta = \dfrac{13}{12}\\sec\theta=-\dfrac{13}{5}\\cot\theta =-\dfrac{5}{12}$

Now, we know the following identities:

$sin \theta = \dfrac{1}{cosec\theta}\\cos \theta = \dfrac{1}{sec\theta}\\tan \theta = \dfrac{1}{cot\theta}$

Now, the values are:

$sin\theta = \dfrac{12}{13}\\cos\theta=-\dfrac{5}{13}\\tan\theta =-\dfrac{12}{5}$

Sine value is positive and cos, tan values are negative.

It can be clearly observed that $\theta$ is in 2nd quadrant.

2nd quadrant means, the value of $x$ will be negative and $y$ will be positive.

Let us have a look at the value of $tan\theta$ :

$tan\theta = \dfrac{Perpendicular}{Base}\\OR\\tan\theta = \dfrac{y-coordinate}{x-coordinate} = -\dfrac{12}{5}\\\therefore y = 12,\\x = -5$

Please refer to the attached image for clear understanding and detailed explanation.

Hence, the correct answer is coordinate (x,y) is (–5, 12)

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3 years ago

rail fares go up by 10%, and josie’s new season ticket to london costs £1342. calculate how much more she has to pay now than sh

Naya [18.7K]

Answer:

£134.2 more

Step-by-step explanation:

Divide 1342 by 100

Then you get 13.42

Times that by 10 and £134.2 is 10%

6 0

2 years ago