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3 years ago

Which equation describes a relationship that is directly proportional?

Mathematics

1 answer:

mixer [17]3 years ago

3 0

Answer:

(C) y = 3x

Step-by-step explanation:

Directly proportional relation is one in which the value of x and y gets increases or decreased in same proportion.

example of such relation can be y = kx

where k is the constant of proportionality which depicts by how much value of y will change in response to change of x.

_______________________________________________

now in the option

A and B

y= 9 , y =1/5

value of y is constant and does not depend on other variable. it value will remain same.

for y = x+4

value of y increases with x but it does not increase proportionally.

let see an example for x =1 , y = 1+4 = 5

x =2 , y = 2+4 = 6

(1,5) and (2,6) are not proportionally changing also this equation is not of form y = kx

thus, it is incorrect option.

_______________________________

here equation is form y =kx . in place of k there is 3

let see an example for x =1 , y = 3*1 = 3

x =2 , y = 3*2 = 6

(1,3) and (2,6) are proportionally changing (1/3 = 2/6) also this equation is of form y = kx

thus, it is correct option.

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The number of marbles of different colors stored in a hat is listed below:

ivann1987 [24]

Answer:

12.5%

Step-by-step explanation:

I warn you, I'm not positive I'm correct.

First I added 8+10+6 and got 24

I divided that by 3 and got 8

I divided 100 by 8 because if you cross multiply 1/8 and x/100 you would get 8x = 100

100 ÷ 8 = 12.5

So I got 12.5%

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3 years ago

What are convex polygnos

Archy [21]

Answer:

Step-by-step explanation:

Polygons (shapes made of straight lines) where no angle is greater than 180 degrees. If even one angle is greater than 180 then it is a concave polygon.

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4 years ago

At a bird-rescue compound, the American white pelican has a wingspan of

7nadin3 [17]

Answer:

25 inches

Step-by-step explanation:

To find the difference you need to substract one from another

110-85=25 inches

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3 years ago

if the local rate for electrical service is 6cents per kilowatt-hour how much money would be saved in a year by using a dishwash

dezoksy [38]

Given:

The local rate for electrical service is 6 cents per kilowatt-hour.

We need to know how much money would be saved in a year by using a dishwasher 4times per week rather than 6 times per week

From the table:

The cost of using a dishwasher 4 times per week = $29

The cost of using a dishwasher 6 times per week = $44

So, the saving will be = 44 - 29 = 15

So, the answer will be $15

3 0

1 year ago

Triangle ABC is an isosceles triangle in which side

Shkiper50 [21]

Answer:

Option B.

Step-by-step explanation:

Consider the below figure attached with this question.

It is given that triangle ABC is an isosceles triangle.

From the below figure it is clear that the vertices of triangle are A(-2,-4), B(2,-1) and C(3,-4).

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using this formula, we get

$AB=\sqrt{(2-(-2))^2+(-1-(-4))^2}=\sqrt{16+9}=5$

$BC=\sqrt{(3-2)^2+(-4-(-1))^2}=\sqrt{1+9}=\sqrt{10}$

$AC=\sqrt{(3-(-2))^2+(-4-(-4))^2}=\sqrt{25}=5$

Now,

Perimeter of triangle ABC = AB + BC + AC

$=5+\sqrt{10}+5$

$=10+\sqrt{10}$

So, perimeter of triangle ABC is $10+\sqrt{10}$ units.

Therefore, the correct option is B.

4 0

3 years ago

Read 2 more answers