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natka813 [3]
3 years ago
15

AB formed by (0-2) and (0,7) CD formed by (3,-5) and (6,-5)

Mathematics
1 answer:
Tresset [83]3 years ago
4 0

Answer:

AB is undefined, CD is y = -5

Step-by-step explanation:

Find both of the line's slopes. You can use the formula for slope to calculate this answer because you know two points on the line for both lines (Look below). If you plug in the points for AB, you would have ( -2 - 7)/0, which would be undefined, because anything divided by 0 is undefined. Since the slope for AB is undefined, it is undefined. Next, we have CD. If you plug in the points for CD, you would get (-5 - (-5))/(6 - 3), which would be 0/3, which is 0. This means that the slope is 0. Next, we have to plug in the points for CD into the formula for equation of the line (Look Below), which would be y - (-5) = 0 * (x - 6), which simplifies to y + 5 = 0, which is y = -5.

<em>Formula for Slope:</em>

\frac{y1 - y2}{x1 - x2}

Usable with 2 points of the line given ((x1, y1) and (x2, y2))

<em>Formula for Equation of the Line:</em>

y - y1 = slope * (x - x1)

Usable with the slope and a point given ((x1, y1))

Answer: AB is undefined (AB is not a relationship, slope is undefined (Vertical Line)) and CD is y = -5 (Horizontal Line)

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Which equation has the solutions x = startfraction 5 plus-or-minus 2 startroot 7 endroot over 3 endfraction?
Shtirlitz [24]

The equation that has the solution x = \frac{5 \pm \sqrt{7}}{3} is 3x^2 - 10x + 6 = 0

<h3>How to determine the equation?</h3>

The solution is given as:

x = \frac{5 \pm \sqrt{7}}{3}

The solution to a quadratic equation is

x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

By comparing both equations, we have:

-b = 5

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Solve for b in -b = 5

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Substitute values for a and b in b^2 - 4ac = 7

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So, we have:

a = 1.5

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A quadratic equation is represented as:

ax^2 + bx + c = 0

So, we have:

1.5x^2 - 5x +3 = 0

Multiply through by 2

3x^2 - 10x + 6 = 0

Hence, the equation that has the solution x = \frac{5 \pm \sqrt{7}}{3} is 3x^2 - 10x + 6 = 0

Read more about quadratic equation at:

brainly.com/question/1214333

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