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2 years ago

Which is an equation of a direct proportion? a.y=1/6x+6 b.y=6/x c.y=6x-6 d.y=6x

Mathematics

1 answer:

Amanda [17]2 years ago

6 0

Answer:

Option D. y=6x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $y/x=k$ 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

<em>Verify each case</em>

case a) y=(1/6)x+6

Is a linear equation, but is not a direct variation. The line not passes through the origin

case b) y=6/x

The equation represent an inverse variation

case c) y=6x-6

Is a linear equation, but is not a direct variation. The line not passes through the origin

case d) y=6x

The equation represent a direct variation

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SOMEONE HELP!!!

Tasya [4]

Step-by-step explanation:

a) here,

diametre = 19 cm

Area = ?

Now,

Area = pie d

= 22/7 *19

59.71 cm2

Therefore, area = 59.71 sq.cm.

here,

Area = 1000 sq.cm

diametre = ?

Now ,

Area = pie d

1000 = 22/7 *d

7000 = 22 * d ( cross multiply between 7&1000)

7000/22 = d

318.18 = d

Therefore, diametre = 318.18 cm .

4 0

2 years ago

Which one represent the solution.

bixtya [17]

Answer:

N is less than 2, (C)

Step-by-step explanation:

Divide both sides by -6, and since two negatives make a positive, you get n is less then 2.

5 0

2 years ago

While shopping for clothes, Curtis spent $33 less than 3 times what Jaclyn spent.Curtis spent $12.Write and solve an equation to

Tema [17]

Answer:

12 x 3 = 36 + 33

Step-by-step explanation:

sorry if it's wrong but the answer to the equation i put out would be 69

7 0

3 years ago

(b) For a function h(theta)=sin3 theta (Theta is in Radian). <br> Find h(pi/3)<br> Find h(pi/2)

vaieri [72.5K]

Part (i)

Plug in theta = pi/3 to get

h(theta) = sin(3theta)

h(pi/3) = sin(3*pi/3)

h(pi/3) = sin(pi)

h(pi/3) = 0 ... use a calculator or the unit circle

<h3>Answer: 0</h3>

=================================================

Part (ii)

Plug in h = pi/2

h(theta) = sin(3theta)

h(pi/2) = sin(3pi/2)

h(pi/2) = -1

<h3>Answer: -1</h3>

5 0

3 years ago

A ship is anchored off a long straight shoreline that runs north and south. From two observation points 16 miles apart on shore,

ELEN [110]

D - the shortest distance from the ship to the shore.
d / ( 17 - x ) = tan 32° = 0.62487
d / x = tan 53° = 1.32704
d = 0.62487 ( 17 - x )
d = 1.32704 x
0.62487 ( 17 - x ) = 1.32704 x
10.62279 - 0.62487 x = 1.32704 x
x = 10.62279 : 1.95191
x = 5.44226 miles
d = 5.44226 · 1.32704
Answer:
d = 7.222 miles

6 0

3 years ago