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densk [106]
3 years ago
10

Write the equation in slope intercept form of the perpendicular bisector of a segment with endpoints of (2,5) and (4.9). ​

Mathematics
1 answer:
m_a_m_a [10]3 years ago
4 0
The slope from (2,5) to (4,9) is 4/2 or just 2.
A perpendicular will have a gradient of -1/2
The midpoint is (3,7)
Therefore y=mx+c becomes 7=-1/2 x 3 + c
c = 7 + 3/2
The perpendicular bisector has the equation y = -1/2x + 17/2
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Answer with explanation:

Since the motion of the ball is projectile motion we shall use the equations for projectile motion.

The maximum height achieved by the projectile is given by

h_{max}=\frac{v_{o}^{2}sin^{2}(\theta )}{2g}

Applying the values we get

h_{max}=\frac{12^{2}\times sin^{2}(45)}{2\times 9.81}\\\\h_{max}=3.669m

The range of the projectile is given by

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R=\frac{12^{2}\times sin(2\times 45 )}{2\times 9.81}\\\\R=7.339m

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