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White raven [17]
2 years ago
12

Find the constant of variation k for the direct variation. 2x + 6y = 0

Mathematics
1 answer:
Flauer [41]2 years ago
5 0

Answer:

k=-\frac{1}{3}

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional 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

In this problem we have

2x+6y=0

Isolate the variable y

subtract 2x both sides

2x+6y-2x=0-2x

6y=-2x

Divide by 6 both sides

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

therefore

The constant of variation is equal to

k=-\frac{1}{3}

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guajiro [1.7K]

Answer:

y =  \frac{2}{7} x

Step-by-step explanation:

The slope is

slope =  \frac{rise}{run}  =  \frac{2}{7}

The y-intercept is 0

5 0
2 years ago
Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?
katrin [286]

Answer:

the answer is b bro

Step-by-step explanation:

5 0
3 years ago
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Attached please find my maths problem to be solved and graphed
ki77a [65]

Answer:

Attached is the sketch

X-axis intersections:

(-3,0)

(0,0)

(1,0)

Points of inflection:

(-1,319,-2.881) Concave upward

(0.569,1.041) Concave downward

Step-by-step explanation:

Desmos (I'm not allowed to post the link, pls search it up) is a great help for these type of problems!

8 0
3 years ago
The length of a rectangle is 6 feet more than three times the width of the
Nesterboy [21]

Answer:

<h2>width = 6 feet</h2>

Step-by-step explanation:

let l be the length of the rectangle

let w be the width of the rectangle

The statement

The length of a rectangle is 6 feet more than three times the width of the

rectangle is written as

l = 6 + 3w

From the question

l = 24 feet

Substitute the value into the above formula and solve for the width

That's

24 = 6 + 3w

3w = 24 - 6

3w = 18

Divide both sides by 3

w = 6

Therefore

<h3>width = 6 feet</h3>

Hope this helps you

3 0
3 years ago
What does the y-intercept mean? What does the x-intercept mean? Explain what each intercept means and then Identify the x-interc
irinina [24]

x intercept = where the function crosses the x axis (x,0)

y intercept = where the function crosses the y-axis (0,y)

A. y=7/2x-2

x intercept , replace y by 0 and solve for x:

0 =7/2x-2

2= 7/2 x

2 / (7/2) = x

x= 4/7

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y= 7/2x-2

y= 7/2 (0) -2

y=-2

B.

x-intercept:

x=-3

y-intercept

0=-3

It doesn't have a y-intercept.

3 0
1 year ago
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