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2 years ago

If y=-12, when x=9, find y when x=-4

1 answer:

6 0

2 different things
if it is
xy=k or if it is x/y=k
direct or inverse variation

I will do the x/y=k one
9/-12=-3/4
x=-4
-3/4=-4/y
mutiply both sides by y
-3/4y=-4
mutiply both sides by -4/3 to clear fraction
y=16/3

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Step-by-step explanation:

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2 years ago

What is importance of banks to ecomics

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Answer:

They do transactions from such a large distance

Step-by-step explanation:

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2 years ago

Given the following trigonometric ratio, enumerate the meaning ratio

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Answer:

The trigonometric ratios are presented below:

$\sin \theta = \frac{AC}{\sqrt{AC^{2} + BC^{2}}}$

$\cos \theta = \frac{BC}{\sqrt{AC^{2} + BC^{2}}}$

$\cot \theta = \frac{BC}{AC}$

$\sec \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{BC}$

$\csc \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{AC}$

Step-by-step explanation:

From Trigonometry we know the following definitions for each trigonometric ratio:

Sine

$\sin \theta = \frac{y}{h}$ (1)

Cosine

$\cos \theta = \frac{x}{h}$ (2)

Tangent

$\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{y}{x}$ (3)

Cotangent

$\cot \theta = \frac{\cos \theta}{\sin \theta} = \frac{x}{y}$ (4)

Secant

$\sec \theta = \frac{1}{\cos \theta} = \frac{h}{x}$ (5)

Cosecant

$\csc \theta = \frac{1}{\sin \theta} = \frac{h}{y}$ (6)

Where:

$x$ - Adjacent leg.

$y$ - Opposite leg.

$h$ - Hypotenuse.

The length of the hypotenuse is determined by the Pythagorean Theorem:

$h = \sqrt{x^{2}+y^{2}}$

If $y = AC$ and $x = BC$ , then the trigonometric ratios are presented below:

$\sin \theta = \frac{AC}{\sqrt{AC^{2} + BC^{2}}}$

$\cos \theta = \frac{BC}{\sqrt{AC^{2} + BC^{2}}}$

$\cot \theta = \frac{BC}{AC}$

$\sec \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{BC}$

$\csc \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{AC}$

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2 years ago

Find the common ratio of the geometric sequence-15,-30,-60

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Answer:

Step-by-step explanation:

A geometric sequence means that each term is the previous term multiplied by a certain common ratio. For instance, here, -30 is 2 times -15, and -60 is 2 times -30. Hope this helps!

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2 years ago

How do I graph y=4x

mojhsa [17]

Answer:

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Slope:

y-intercept:

Step-by-step explanation:

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2 years ago