All categories

3 years ago

What is an equation of the line that passes through the point (6, 1) and is

Mathematics

1 answer:

otez555 [7]3 years ago

7 0

Answer: y=1,5x-8

Step-by-step explanation:

At first transform the equation

2x+3y=18

3y= 18-2x

y= 6 - (2/3)x

The linear function has general form, which looks like that:

y=mx+n

perpendicular means that m1*m2=-1

In our case m1= -(2/3) and m2 is unknown

(-2/3)*m2= -1

m2=3/2 so m2=1,5

The line has to go through the point (6,1)

so 1=6*1,5+n

1=9+n

n= -8

so the function looks like that y=1,5x-8

You might be interested in

Find the amount of sales. earnings: $150 commission: 20%

ZanzabumX [31]

The answer to your question is $30

4 0

3 years ago

Rocky works in a restaurant for six hours a day and is paid $4 per hour for any extra time worked. if rocky worked 6.25 hours on

Effectus [21]

Rocky will earn $4 as extra money that week. Hope it help!

4 0

3 years ago

Please help me thank you

german

Step-by-step explanation:

y = 2x + 3

When x = 2

y = 2.2 + 3

y = 4 + 3

y = 7

When x = 0

y = 2.0 + 3

y = 0 + 3

y = 3

When x = -2

y = 2.(-2) + 3

y = -4 + 3

y = -1

When x = -4

y = 2.(-4) + 3

y = -8 + 3

y = -5

When x = -7

y = 2.(-7) + 3

y = -14 + 3

y = -9

8 0

3 years ago

Metal A has a density of 12.7 g/cm3.

stira [4]

Using the given information, the density of metal B is 8.58 g/cm³

<h3>Calculating density </h3>

From the question, we are to determine the density of metal B

From the given information,

55 g of metal A is combined with metal B to create an alloy with mass 90 g

∴ Mass of metal B in the alloy = 90 g - 55 g = 35 g

Now, we will determine the volume of metal A in the alloy

Using the formula,

Density = Mass / Volume

∴ Volume = Mass / Density

Volume of metal A in the alloy = 55/12.7

Volume of metal A in the alloy = 4.33 cm³

Then, we will determine the volume of the alloy

Volume of the alloy = 90/10.7

Volume of the alloy = 8.41 cm³

∴ Volume of metal B in the alloy = 8.41 cm³- 4.33 cm³

Volume of metal B in the alloy = 4.08 cm³

Now, for the density of metal B

Density = mass / volume

Density of metal B = 35 / 4.08

Density of metal B = 8.58 g/cm³

Hence, the density of metal B is 8.58 g/cm³.

Learn more on Calculating density here: brainly.com/question/13986137

#SPJ1

5 0

2 years ago

<img src="https://tex.z-dn.net/?f=8%5E%7B2%7D%3Dx%5C%5Cx%2B12%3Dy%5C%5Cy-3%3Dn%5C%5Cn%3D%3F" id="TexFormula1" title="8^{2}=x\\x+

AlexFokin [52]

Answer:

n = 73

Step-by-step explanation:

8² = x ==> x = 64

x + 12 = y ==> y = 64 + 12 = 76

y – 3 = n ==> n = 76 – 3 = 73

<em>Follow </em><em>my </em><em>account </em><em>^</em><em>^</em>

8 0

3 years ago

Read 2 more answers