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3 years ago

3. Write an equation of the direct variation that includes the point (6, -2).

Mathematics

1 answer:

lana66690 [7]3 years ago

6 0

Answer:

$y=-\frac{1}{3}x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation ( or direct variation) if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

we have the point (6,-2)

Find the constant of proportionality k

$k=\frac{-2}{6}$

Simplify

$k=-\frac{1}{3}$

therefore

The equation of the direct variation is

$y=-\frac{1}{3}x$

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3 years ago

Someone please help me

iogann1982 [59]

The correct answer is: [B]: " 9.6 cm " .
____________________________________________________________

Explanation:
____________________________________________________________

Let "FH" = "x" ; for which we wish to solve.

45 cm / 12 cm = 36 cm / "x" (in "cm") ;

To solve for "x" ;

Cross--multiply:

Note: Given:

" $\frac{a}{b} = \frac{c}{d}$ " ; " ad = bc " ; (b ≠ 0 ; d ≠ 0) ;

So: " 45x = 12 * 36 " ;

→ 45x = 432 ;

Divide each side of the equation by "45" ;
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→ 45x / 45 = 432 / 45 ;

→ x = 9.6 cm ;
___________________________________________________________
→ which corresponds with:
___________________________________________________________

→ Answer choice: [B]: " 9.6 cm " .
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Hope this answer — and explanation — helps!
Best wishes in your academic pursuits!
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