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
Delia earns $10.50 per hour working at a restaurant. On Friday she spent 1 3/4 hours cleaning . 2 1/3 hours doing paperwork, and
DIA [1.3K]
Friday:
She earns $10.5×1 3/4=$18.375 for cleaning, 10.5×2 1/3=$24.5 for doing paper work, 10.5×1 5/12=$14.875 for serving costumes. As a result, Delia earns $57.75 in total. Hope it help!
6 0
3 years ago
6x2y^3/3xy Use Laws of exponents. answer is 2xy^2 but I don't know how to get it. My initial answer was 4y^2​
allsm [11]

Step-by-step explanation:

\frac{6x^{2}y^{3}}{3xy}

If it helps, write as a product of fractions, grouped by variable.

\frac{6}{3} \frac{x^{2}}{x} \frac{y^{3}}{y}

Now reduce using exponent rules.

2xy^{2}

4 0
2 years ago
Write an equation for the line parallel to the line 5/8x−7/6y =2 through the point (7,−1).
LiRa [457]

y =  -  \frac{28}{48x - 15} -  \frac{125}{321}is the answer.

Step-by-step explanation:

For this question,

•<u> </u><u>First</u>, find the slope of the line parallel to the line 5/8x−7/6y=2 :-

m =  - \frac{28}{ - 15 + 48x}

•<u>Second</u>, find the equation of the line,

y =  -  \frac{28}{48x - 15} -  \frac{125}{321}

7 0
2 years ago
Find the area. Simplify the answer. 3x and x+6
Ilya [14]
18x .......,,,,..xbxncmd
5 0
3 years ago
Can someone please help me??
butalik [34]

I do believe the answer is D

6 0
3 years ago
Other questions:
  • Find the range for the measure of the third side of a triangle if the measuresof the two sides are 10 and 16.
    14·1 answer
  • What is the equation of this line?
    7·2 answers
  • Trigonometric area formula: Area = What is the area of triangle PQR? Round to the nearest tenth of a square unit. 70.5 square un
    9·2 answers
  • What factors does 28 and 44 have in common
    13·2 answers
  • Which order from least to greatest of 2.8, 2.8x10², 2.8x10⁻3, 2.8x10⁴, 2.8x10⁻5
    6·2 answers
  • Use forward and backward difference approximations of O(h) and a centered difference approximation of O(h2) to estimate the firs
    7·1 answer
  • Solve the formula please!!!!!!!!
    13·2 answers
  • Find the center and the radius of the circle with the equation x^2 -2x+y^2 +4y +1
    13·1 answer
  • Given that sin 60 = root3/2<br> Find the exact value of sin 240
    5·1 answer
  • Pls help asap, whoever answers gets brainliest, 5 stars, and a thanks!
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!