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Andrei [34K]
2 years ago
10

Use completing the square to solve for x in the equation (x minus 12) (x 4) = 9.

Mathematics
1 answer:
Sindrei [870]2 years ago
6 0

Answer:

By using completing the square method, equation (x - 12) (x + 4) = 9 can be solved as x = (4 + √ 73) or (4 - √ 73)

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Step-by-step explanation:

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Please Answer Attachment Below Thanks
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Answer:

Step-by-step explanation:

The interior angles of a heptagon add up to 5*180 = 900

So

x + 143 + 116 + 135 + 135 + 116 + 155 = 900     Add up the known angles

x + 800 = 900                                                   Subtract 800 from both sides

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4 years ago
Which choice is the solution for this system ? 2x − 5y = 14 x + 3 2 y = 5
VashaNatasha [74]

Answer:

The required solution is (5.75,-0.5). It can be written as (\frac{11}{4},-\frac{1}{2}).

Step-by-step explanation:

The given equations are

2x-5y=14                       .... (1)

x+\frac{3}{2}y=5            .... (2)

Multiply the equation (2) by 2.

2x+3y=10                     .... (3)

Subtract equation (1) from equation (3).

2x+3y-(2x-5y)=10-14

2x+3y-2x+5y=-4

8y=-4

y=-\frac{1}{2}=-0.5

Put this value in equation (1).

2x-5(-0.5)=14

2x+2.5=14

2x=11.5

x=5.75

Therefore the required solution is (5.75,-0.5). It can be written as (\frac{11}{4},-\frac{1}{2}).

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4 years ago
It takes Bobby 12 hours longer to build a robot than it takes Alex. Together, they can build the Robot in 8 hours. How long does
anyanavicka [17]

Answer:

24 hours

Step-by-step explanation:

The computation of the number of hours taken by Bobby to build the robot by himself is shown below:

Given that

Bobby could take 12 hours

Together they could build in 8 hours

So based on the above information

the number of hours taken by Bobby to build the robot by himself is

Let us assume the above line be x

So,

\frac{1}{8}-\frac{1}{12} = \frac{1}{x}  \\\\\frac{6 - 4}{48} = \frac{1}{x}  \\\\\frac{2}{48} = \frac{1}{x}  \\\\x = \frac{48}{2}

x = 24 hours

6 0
3 years ago
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