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
hram777 [196]
3 years ago
12

The line x+ 2y = 9 intersects the curve xy + 18 = 0 at the points A and B. Find the coordinates of A and B.

Mathematics
1 answer:
victus00 [196]3 years ago
6 0
Subtracting the second equation by 18 on both sides, we have xy=-18. Next, we divide both sides by x to get y=-18/x  Plugging that into the first equation, we have x+2(-18/x)=9. Multiplying both sides by x, we get x^2-36=9x. After that, we subtract both sides by 9x to get x^2-9x-36=0. Finding 2 numbers that add up to -9 but multiply to -36, we do a bit of guess and check to find the answers to be -12 and 3. Factoring it, we get 
x^2-12x+3x-36=x(x-12)+3(x-12)=(x+3)(x-12). To find the x values, we have to find out when 0=(x+3)(x-12). This is simple as when you multiply 0 with anything, it is 0. Therefore, x=-3 and 12. Plugging those into x=-18/y, we get x=-18/y and by multiplying y to both sides, we get xy=-18 and then  we can divide both sides by x to get -18/x=y. Plugging -3 in, we get -18/-3=6 and by plugging 12 in we get -18/12=-1.5. Therefore, our points are (-3,6) and (12, -1.5)
You might be interested in
What is the value of the expression 1/2(6x9x1)+15
Vanyuwa [196]

Answer:

the answer of the expression is 42

Step-by-step explanation:

PEMDAS parenthesis are first so we start out with 6x9x1 and the answer to that is 54, next is MULTIPLICATION so we take 1/2 times 52 which is 27 then next is ADD so we add 15 and the answer is 42

5 0
3 years ago
For the senior pic mr. Williams is using two cylinders to help keep the food cool the inside still there with the radius of 8 in
Rasek [7]
The answer is  1,695.6 in³.

The volume of the empty space is the difference of the bigger cylinder and the smaller cylinder: V = V1 - V2

The volume of the bigger cylinder is:
V1 = π r² h
r = 10 in
h = 15 in
π = 3.14

V1 = 3.14 * 10² * 15 = 4,710 in³


The volume of the smaller cylinder is:
V2 = π r² h
r = 8 in
h = 15 in
π = 3.14

V2 = 3.14 * 8² * 15 = 3,014.4 in³


The volume of the empty space is:
V = V1 - V2 = 4,710 in³ - 3,014.4 in³ = 1,695.6 in³
4 0
3 years ago
guys, pleasee please can somebody who is good at school help me please, im failing, im behind and my mom is going to hit me agai
hodyreva [135]

Answer:

wha-

Step-by-step explanation:

usususujsjsjsjsisiisjs

3 0
2 years ago
Plz solve the following with steps (people who just come by without answering the question and taking the points may end up as b
sleet_krkn [62]

Answer:

<h2>12) There are 534 students who do not lunch in school.</h2>

Step-by-step explanation:

<h3>12. </h3><h3>Simple solution: </h3><h3>890 ÷ 5 = 178 </h3><h3>Therefore: 1/5 = 178 </h3><h3 /><h3>•To find the 2/5 of the students, we have to multiply 178 by 2</h3><h3>178 × 2 = 356</h3><h3>Therefore, 356 students stay to have lunch.</h3><h3 /><h3>•To find the remaining students who do not lunch in school, we have to subtract 356 to 890.</h3><h3>890 - 356 = 534</h3><h3>Therefore, there are 534 students who do not lunch in school.</h3><h3 /><h3 />
8 0
3 years ago
Please help me!! I really need it (:
klasskru [66]

it is a linear equation

 if you take the negative of x and subtract 1 you get Y

 so the answer is A

5 0
3 years ago
Other questions:
  • A rubber belt connects the two flywheels shown. Find the total
    11·2 answers
  • Davis can read 4/5 of a page in one minute. How many pages can he read in 4 1/2 minutes?
    12·1 answer
  • What is the best way to study for the teas test
    14·2 answers
  • Can someone help me!
    6·1 answer
  • Beaded bracelets cost $2.25 each to make. how much would it cost to make 61 bracelets?​
    5·1 answer
  • Help help help help me plsss
    7·1 answer
  • If I had 4 eggs
    13·2 answers
  • Which of the following is not a recommendation the author of the Businesstown.com article makes to lower your
    11·2 answers
  • Solve for x<br><br>5 - 9x = -76​
    5·2 answers
  • How many helmets must the company make and sell to break even? helmets
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!