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sergeinik [125]
3 years ago
11

What number must you add to complete the square x^2+12x =16

Mathematics
1 answer:
Nookie1986 [14]3 years ago
8 0

Answer:

D. 36

Step-by-step explanation:

The square of half the x-coefficient must be added. That value is (12/2)² = 36.

_____

You're trying to create a trinomial of the form ...

... (a + b)² = a² +2ab +b²

where a = x, and 2b = 12.

The number you need to add is b² = (2b/2)² = (12/2)² = 36.

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The slope of a line is 5 /7. What is the slope of any line that is perpendicular to that line?
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Step-by-step explanation:

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What is the slope of the line that passes through the points (4, 9) and (1, 6)?
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a = ( 1 , 6 )

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slope =  \frac{y(b) - y(a)}{x(b) - x(a)} \\

Now just need to put the coordinates in the above equation :

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3 years ago
What is the equation of the line that has a slope of -1 and goes through point (0, 5)?
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To answer the question above, know that one of the way of writing the equation of the line is through the point - slope form which is generally expressed as,
 
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where m is the slope and x1 and y1 are the abscissa and ordinate of the point, respectively.

Substituting the given data to the equation above,
 
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By simplification we get an answer of

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5 0
3 years ago
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