All categories

3 years ago

A line contains the points (0,0) and (1,4). what are all the equations that represent this line

1 answer:

7 0

Hello ;

A line contains the point (0,0) : y=ax a is aslope
a = (yb -yO)/(xb -xO) B(1;4) O(0;0)
a = (4-0)/(1-0)=4
all the equations that represent this line is : y = 4x or y-4x = 0

You might be interested in

You are a contractor and charge $45 for a site visit plus an additional $24 per hour for each hour you spend working at the site

tino4ka555 [31]

Answer:

Equation: 810= (90 + 24y)

y = 30 hours

Step-by-step explanation:

Given:

Site visit = $45 per site

cost per hour worked = $24

for each work site, the total amount of money earned

= site visit fee + cost for working

But the question mentions TWO sites, hence there will be two site visits. Therefore for TWO sites, we have to account for TWO site visit fee.

Therefore for TWO sites, the total amount of money earned

= site 1 visit fee + site 2 visit fee + cost for working

= (2 x site visit fee) + cost for working ------ Equation 1

We are further given that we worked y hours at the hourly work rate of $24 per hour.

Hence the cost for working

= y hours x hourly rate

= y x $24

= $24y (substituting this into equation 1 above)

for TWO sites, the total amount of money earned

= (2 x site visit fee) + cost for working

= (2 x $45) + $24y

= $90 + $24y

= $(90 + 24y)

We are also given that we have to earn $810 for two sites, hence

810 = 90 + 24y

810 - 90 = 24y

24y = 720

y = 720/24

y = 30 hours

8 0

3 years ago

I don’t know how to explain on why the student was incorrect

Zolol [24]

Answer:

the constant proportionality means the ratio between two directly proportional quantities.

so the constant proportionality will be 7.5÷6=1.25 or 10÷8=1.25 or 12.5÷10=1.25

constant proportionality should be same all through because it's a constant

7 0

3 years ago

The perimeter of an equilateral triangle is 5.1 m. How long are its sides?

Alja [10]

Answer:

1.7 meters

Step-by-step explanation:

because an equilateral triangle has 3 sides and they are all the same you can just divide 5.1 by 3

5.1 / 3 = 1.7

it is 1.7 m

7 0

2 years ago

Read 2 more answers

If you are making a scale drawing of a girrafe that is 6m tall, and the height of the girrafe in your drawing is 3cm, what is th

k0ka [10]

Answer:

1cm to 200cm

Step-by-step explanation:

l of giraffe = 6m = 600cm

l of giraffe drawing = 3cm

scale = drawing : real = 3 : 600 = 1 : 200

Therefore the scale is 1cm to 200cm

8 0

2 years ago

Louisa drew a polygon with six sides of equal length. If the perimeter of Louisa's polygon is 95.4 centimeters, how long is each

Agata [3.3K]

Answer:

15.9 centimeters

Step-by-step explanation:

the information we have is:

Perimeter: $P=95.4cm$

Number of sides of the polygon: $n=6$

since each side has equal length, we can use the following equation to find the measure of one side of the polygon, the equation for perimeter:

$P=nl$

where n is the number of sides and $l$ is the length of each side.

So we clear for $l$ and we get:

$l=\frac{P}{n}$

and subtituting the known values:

$l=\frac{95.4cm}{6}\\ l=15.9cm$

each side is 15.6 centimeters long

3 0

3 years ago