1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anarel [89]
3 years ago
9

10. Write the equation of the line that is parallel tox-3y = 9 and passes through the point (3,-1).​

Mathematics
1 answer:
Lorico [155]3 years ago
6 0

Answer:

Equation of the line that is parallel tox-3y = 9 and passes through the point  (3,-1) is

y+1= - \frac{1}{3} (x-2)

Step-by-step explanation:

Slope of line x-3y = 9 is -1/3

Since Parallel lines have same slope. Therefore slope of line passing through the point (3,-1) is also -1/3.

Equation of line in point slope form is given as

y-y_1=m(x-x_1) ---------- (1)

Here

m=-\frac{1}{3}  \ \  and \ \ (x_1, y_1)= (3, -1)

substituting values in equation (1)

y+1= - \frac{1}{3} (x-2)

You might be interested in
Of the total number of pages in a book, 62% have pictures and the rest have no pictures. There are 310 pages with pictures in th
nasty-shy [4]

Answer:

500 total pages. 190 pages with no pictures.

Step-by-step explanation:

310 is 0.62 of the total pages. 310 divided bye 0.62 is 500.

500 minus 310 is 190 pages with no pictures.

Hope this helps!

3 0
3 years ago
Pip and Sara win some money and share it in ratio 5:4 pip gets £50 how much did they get all together
N76 [4]

Answer: £90

Step-by-step explanation:

Pip and Sara get some money. They share it in the ratio 5 : 4.

Pip gets £50 so what did Sara get:

Use direct proportion:

5  :  4

50 :   x

5x = 200

x = 200/5

x = £40

Pip got £50 and Sara got £40.

Together they got:

= 50 + 40

= £90

4 0
3 years ago
Eight friends share 12 pounds of
Lubov Fominskaja [6]

Answer: each person would get 1.5 pounds of gold

Step-by-step explanation:

12/8= 1.5

4 0
3 years ago
Read 2 more answers
Use calculus to find the first order conditions. Use solver then to solve the first order conditions. Show your work for the fir
DaniilM [7]

The values of x and y are 70/22 and 30/22 respectively by using the first-order condition of differential calculus.

<h3>What is the first-order condition in differential calculus?</h3>

A first-order differential equation is represented by the equation \mathbf{ \dfrac{dy}{dx} =f (x,y) }with 2 variables x & y, including its function f(x,y) specified on a xy-plane.

Given that:

\mathbf{f(x,y) =-22x^2+22xy-11y^2+110x-40y-23}

Let us first differentiate the above equation with respect to x, we have:

\mathbf{\dfrac{\partial f(x,y) }{\partial x}  = -44x +22y -0+110-0-0=0}

\mathbf{\implies  -44x +22y+110=0}        (multiply by -1)

44x - 22y = 110    ------ (equation 1)

Now, differentiating with respect to y, we have:

\mathbf{\dfrac{\partial f(x,y) }{\partial y}  =0 +22x-22y +0-40-0=0}

\mathbf{\implies 22x-22y -40=0}

22x - 22y = 40      ----- (equation 2)

Now, we have a system of equations:

44x - 22y = 110

-                      ---- ( subtracting equation 2 from 1; elimination method)

<u> 22x - 22y = 40  </u>

<u>22x    + 0  = 70    </u>

<u />

x = 70/22

Replacing the value of x into equation (1), we have:

44x - 22y = 110

44(70/22) - 22y = 110

140 - 22y = 110

140 - 110 = 22y

30 = 22y

y = 30/22

Learn more about the first-order conditions in differential calculus here;

brainly.com/question/14528981

#SPJ1

4 0
2 years ago
13. You are 3 inches taller than you were last year last year you were 60 inches tall. How tall are you now?
brilliants [131]
63 inches tall

Explanation: 60+3= 63
7 0
2 years ago
Read 2 more answers
Other questions:
  • I just need all the numbers on top in feet on the graph please
    15·1 answer
  • What is the domain and range for this graph?
    9·1 answer
  • Tips for study better for my classes im junior
    12·1 answer
  • What is <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B7%7D%20%20%3D%20%20%5Cfrac%7B4%7D%7B5%7D%20" id="TexFormula1"
    11·1 answer
  • Sergio runs 2 1/4 miles in 30 minutes. Write the ratio in fractional form and determine Sergio's speed in miles per hour.
    5·1 answer
  • I need help on this question
    10·1 answer
  • A company rents out 17 food booths and 24 game booths at the county fair. The fee for a food booth is $50 plus $6 per day. The f
    5·1 answer
  • The wavelength of an x-ray measures 1.0×10−11 meters. How is this number written using standard notation?
    12·1 answer
  • A basketball player made 70 out of 100 attempted free throws. What percent of free throws was made?
    8·2 answers
  • 5m - 4n, when m=5 and n = 3.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!