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Sonbull [250]
2 years ago
6

The equation x2 - 9 = 0 has real solution(s). DONE

Mathematics
1 answer:
Andru [333]2 years ago
5 0

Answer:

{-3, 3}

Step-by-step explanation:

x^2 - 9 = 0 can be written in factored form as (x -3)(x + 3) = 0.  Letting each factor equal zero separately and solving for x, we get x:  {-3, 3}

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Now put the two together. Logically, these two answers since a number cannot be both less than AND greater than - 2. 

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Step-by-step explanation:

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2 years ago
What is an equation of the line that passes through the point (6,1) and is
kramer

Answer:

y - 1 = 3/2(x - 6)

Step-by-step explanation:

First, we need to find the slope of the given equation. Without a graph, the easiest way to do this is by isolating y.

2x + 3y = 18

3y = -2x + 18        (Subtract 2x from both sides)

y = -2/3x + 6        (Divide both sides by 3)

The slope is -2/3. Perpendicular lines have opposite reciprocal slopes, so a line perpendicular to this one would need to have a slope of 3/2. We're given a point for this line, so we can write the equation for it in point-slope form.

Point-Slope Form: y - y_{1}=m (x-x_{1})

y - 1 = 3/2(x - 6)

If necessary, this can also be written in slope-intercept form by solving for y.

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