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Deffense [45]
3 years ago
14

Solve by completing the square:X^2+6x-12=0

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
5 0
X² + 6x  -12 = 0
x = <u>-(6) +/- √((6)² - 4(1)(-12))</u>
                     2(1)
x = <u>-6 +/- √(36 + 48)</u>
                   2
x = <u>-6 +/- √(84)
</u>              2<u>
</u>x = <u>-6 +/- 2√(21)
</u>               2<u>
</u>x = -3 <u>+</u> √(21)
x = -3 + √(21)      x = -3 - √(21)
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HELP ASAP!! WILL GIVE 25 POINTS AND BRAINLIEST.
Luba_88 [7]

Answer:

As shown in picture,

Option 2 is correct.

Horizontal asymptote at y = 0 (graph approaches to 0 when x at -infinity and + infinity)

Option 4 is correct.

Vertical asymptote at x = 6 ( graph goes to infinity when x = 6)

Option 5 is correct.

Vertical asymptote at x = -4 ( graph goes to infinity when x = -4)

Hope this helps!

:)

6 0
3 years ago
Read 2 more answers
Hi I need this asap if you also explain the work on how you got answers plz and thank you<br>​
weeeeeb [17]

Answer:

<u>Q/ Draw a line ; Ans; </u>

\frac{9}{5}  —>1 \frac{4}{5}

*explain ; We put the 5 in the denominator and 5 multiply 1 + 4 so equal 9 so the choice 9/5 .

Ans; 7/3—> 2 1/3

*explain ; We put the 3 in the denominator and 3 multiply 2 + 1 so equal 7 so the choice 7/3 .

Ans; 12/10 —> 1 1/5

*explain; simple (12 and 10) ÷ 2 so equal 6/5

We put the 5 in the denominator and 5 multiply 1 + 1 so equal 6 so the choice 6/5 =12/10 .

\frac{12 \div 2}{10 \div 2}  =  \frac{6}{5}  = 1 \frac{1}{5}

<u>Q/ Compare the fractions;Ans;</u>

\frac{2}{3}  <  \frac{14}{6}

* explain; 2/3 = 0.66 and 14/6=2.33 so 2.33 greater from 0.66 so 14/6 greater from 2/3 .

\frac{3}{8}  <  \frac{8}{3}

* explain; 3/8 = 0.375 and 8/3=2.666 so 2.666 greater from 0.375 so 8/3 greater from 3/8 .

2  \frac{1}{6}  >  \frac{5}{9}

* explain; 2 1/6 —> We put the 6 in the denominator and 6 multiply 2 + 1 so equal 13 so equal 13/6

13/6 = 2.16 and 5/9=0.55 so 2.16 greater from 0.55 so 13/6 = 2 1/6 greater from 5/9 .

<u>Q/Add; Ans;</u>

\frac{7}{8}  +  \frac{5}{8}  =  \frac{7 + 5}{8}  =  \frac{12}{8}  =  \frac{3}{2}

\frac{1}{9}  +  \frac{2}{3}  \\  \\  \frac{1}{9}  +  \frac{6}{9}  =  \frac{ 1+6 }{9}  =  \frac{7}{9}

<u>Q/Subtract; Ans;</u>

\frac{6}{7}  -  \frac{4}{7}  =  \frac{6 - 4}{7}  =  \frac{2}{7}

\frac{7}{3}  -  \frac{2}{9}  \\  \\  \frac{21}{9}  -  \frac{2}{9}  =  \frac{21 - 2}{9}  =  \frac{19}{9}

<u>Q/ Multiply;Ans;</u>

\frac{1}{5}  \times  \frac{1}{2}  =  \frac{1}{10}

\frac{2}{3}  \times  \frac{3}{8}  =  \frac{6}{24}  =  \frac{1}{4}

<u>Q/Divide;Ans;</u>

\frac{3}{4}  \div  \frac{2}{5}  \\  \\  \frac{3}{4}  \times  \frac{5}{2}  =  \frac{15}{8}

\frac{8}{9}  \div  \frac{1}{3}  \\  \\  \frac{8}{9}  \times  \frac{3}{1} =   \frac{24}{9}  =  \frac{8}{3}

I hope I helped you^_^

5 0
3 years ago
Substitute each variable to determine whether the inequality is true or false.
algol13

Answer:

It is false: -16>-15 is not true

3 0
3 years ago
Read 2 more answers
Select all the correct answers.
irina1246 [14]

Operations that can be applied to a matrix in the process of Gauss Jordan elimination are :

replacing the row with twice that row

replacing a row with the sum of that row and another row

swapping rows

Step-by-step explanation:

Gauss-Jordan Elimination is a matrix based way used to solve linear equations or to find inverse of a matrix.

The elimentary row(or column) operations that can be used are:

1. Swap any two rows(or colums)

2. Add or subtract scalar multiple of one row(column) to another row(column)

as is done in replacing a row with sum of that row and another row.

3. Multiply any row (or column) entirely by a non zero scalar as is done in replacing the row with twice the row, here scalar used = 2

6 0
3 years ago
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Dmitrij [34]
Tbh ion know the answer
3 0
2 years ago
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