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Ray Of Light [21]
2 years ago
6

Quadratic Equation Question

Mathematics
1 answer:
adoni [48]2 years ago
5 0

Answer: 0.68 or 13.92

Step-by-step explanation:

If the height is 47 meters, then the height, h, is equal to 47.

47=73t-5t^2\\\\5t^2 - 73t+47=0

Using the quadratic formula,

t=\frac{-(-73) \pm \sqrt{(-73)^{2}-4(5)(47)}}{2(5)}\\\\\\t=\frac{73 \pm \sqrt{4389}}{10}\\\\\\ t=\frac{73+\sqrt{4389}}{10}, \frac{73-\sqrt{4389}}{10}\\\\\boxed{t \approx 0.68, 13.92}

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In the xy coordinate plane the slope of line p is 1 2 and its x-intercept is -3. Find the equation of a line that is perpendicul
Novosadov [1.4K]

Answer:

Option C) y = -2x - 6

Step-by-step explanation:

<u><em>The correct question is</em></u>

In the xy coordinate plane the slope of line p is 1/2 and its x-intercept is -3. Find the equation of a line that is perpendicular to p and intersects p at is x-intercept.

step 1

Find the slope of a line that is perpendicular to p

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)

m_1*m_2=-1

we have

m_1=\frac{1}{2} ----> slope of line p

substitute

(\frac{1}{2})*m_2=-1

m_2=-2 ----> slope of the line perpendicular to p

step 2

Find the equation of the line  that is perpendicular to p and intersects p at is x-intercept

we have

m=-2

point\ (-3,0)

Find the equation of the line in point slope form

y-y1=m(x-x1)

substitute

y-0=-2(x+3)

y=-2x-6

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4 years ago
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3 years ago
Read 2 more answers
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