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s2008m [1.1K]
3 years ago
10

Evaluate -3x^2-4x=-1

Mathematics
1 answer:
Butoxors [25]3 years ago
5 0
Use the Quadratic formula, 

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

x= 4 +/- sqrt(16+12)
     ----------------------
              -6

x = 4+/- sqrt(28)
      ---------------
            -6

x = 4 +/- 2*sqrt(7)
      ------------------
              -6

x= 2(2+/- sqrt(7))
     ------------------
            2(-3)


x= 2+/- sqrt(7)
     --------------
           -3
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Consider the line 7x+9y=5
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Answer:

The slope of a line parallel to this line will be: -7/9

The slope of the perpendicular line will be:

\frac{-1}{\frac{-7}{9}}=\frac{9}{7}

Step-by-step explanation:

We know the slope-intercept form

y=mx+b

Here,

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  • b is the y-intercept

Given the equation

7x+9y=5

simplifying to write in the lope-intercept form

y=-\frac{7}{9}x+\frac{5}{9}

Thus, the slope of the line is: -7/9

The slope of a line parallel to the line:

We have already determined that the slope of the line is: -7/9

  • We know that the parallel lines have the same slope.

Thus, the slope of a line parallel to this line will be: -7/9

The slope of a line perpendicular to the line:

We have already determined that the slope of the line is: -7/9

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus,  the slope of the perpendicular line will be:

\frac{-1}{\frac{-7}{9}}=\frac{9}{7}

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