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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)
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Shkiper50 [21]

Answer:

length = 78 m , width = 27 m

Step-by-step explanation:

let w represent width then length l = 3w - 3

the perimeter (P) is calculated as

P = 2l + 2w = 210 , substitute values

2(3w - 3) + 2w = 210 ← distribute parenthesis and simplify left side

6w - 6 + 2w = 210

8w - 6 = 210 ( add 6 to both sides )

8w = 216 ( divide both sides by 8 )

w = 27 and l = 3(27) - 3 = 81 - 3 = 78

Then length = 78 m and width = 27 m

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3 years ago
The ratio of peter's height to albertina's height is 147cm what is peter's height​
stellarik [79]

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Step-by-step explanation:

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2 years ago
There are 276 students.
Lynna [10]

Step-by-step explanation:

Number of males is

  • 276 - 158 = 118

Number of males not enrolled

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Number of females not enrolled

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(a)

The table based on data is

<u>                 Enrolled        Not enrolled      Total  </u>

<u>Male            82                  36                     118    </u>

<u>Female        102                56                     158   </u>

Total            184                 92                     276

(b)

Percentage of students were males that went to magic college

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  • 82/276*100% = 29.71% (rounded)

(c)

Percentage of females went to magic college

  • enrolled female / total female =           (use table above)
  • 102/158*100% = 64.56% (rounded)
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Montano1993 [528]
Counting each visible cube, and multiplying it by 2, he used 112. If you counted them, there would be 56 cubes. You'd multiply by 2 for the non-visible ones.
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3 years ago
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deirdre is factoring the polynomial x squared plus 2x minus 24. which combination can she use to replace the middle term, 2x ?
Shkiper50 [21]

we are given with

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Hence the required combination is 6x and -4x

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