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lidiya [134]
3 years ago
15

Use completing the square to solve x^2+6x=13

Mathematics
1 answer:
lara [203]3 years ago
8 0

Answer:

x = -3 +/- square root(22)

Step-by-step explanation:

x = -b +/- square root(b^2 - 4ac) / 2a

ax^2 + bx + c = 0

these are both the quadratic formula but one is solved for the x and another for 0

a= 1

b= 6

c = -13

x= -6 +/- square root( 6^2 - 4(1)(13)) / 2(1)

x = -6 +/- sqrt( 36 + 52) / 2

x= -6 +/- sqrt (88) / 2

sqrt of 88 = 2 x sqrt (22)

divide 2 on each

x= -3 +/- sqrt (22)

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What is 2x+3y=30 &amp; x+y=14<br> In elimination
puteri [66]

Answer:

x= 12 and y= 2

Step-by-step explanation:

First you would line up the equations so the x's and y's are on top of each other. Then you would multiply x+y=14 by 3 to give you 3x+3y=42. After that you subtract 2x-3y=30 and 3x+3y=42 to give you an answer of x=12. After that, you plug in x with 12 in the equation x+y=14. You subtract 12 from both sides to get an answer of 2. So ur solution is (12,2)

   

4 0
3 years ago
If m L=65, then m LJK=___ ????? PLS HELP ASAP
aleksandr82 [10.1K]

Answer:

50 degrees

Step-by-step explanation:

If angle L = 65 then the top angle for the triangle LMJ has to be 25 degrees as M is a right angle (or at least has to be for this problem to be possible)

the math to figure it out is 90+65+x=180 <-- due to triangles are 180 degrees inside which simplifies to 25 after that you just have to at 25 to itself 25+25 to get 50 which is the angle of J

4 0
2 years ago
Taylor saw an American alligator at a zoo that measured Ask Your Teacher feet long. The record length of an American alligator i
lianna [129]

Answer:

The record alligator is 6\frac{1}{4} feet longer than the alligator Taylor saw.

Step-by-step explanation:

Taylor saw an American alligator at a zoo that measured 12\frac{11}{12} feet long. The record  length of an American alligator is 19\frac{1}{6} feet long. How much longer is the record  alligator than the alligator Taylor saw?

For this first convert the mixed fraction into an improper fraction.

12\frac{11}{12}=\frac{155}{12}

19\frac{1}{6}=\frac{115}{6}

Now subtract \frac{155}{12} from \frac{115}{6}.

\frac{115}{6}-\frac{155}{12}=\frac{75}{12}=6\frac{1}{4}

Hence, the record alligator is 6\frac{1}{4} feet longer than the alligator Taylor saw.

4 0
3 years ago
What is the difference of the fractions? Use the number line and equivalent fractions to help find the answer.
tresset_1 [31]

Answer:

-3/4

Step-by-step explanation:

change them to improper fractions

-5/2 - (-7/4)

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-10/4 - (-7/4)

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-10/4 + 7/4

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5 0
3 years ago
Read 2 more answers
Plz help me get the answer ASAP
Fantom [35]
  1. a=6
  2. 3 times 6 would equal the answer 18
  3. 3(6)=18
  4. 18=18
5 0
3 years ago
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