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valina [46]
3 years ago
12

ANSWER = MY ETERNAL LOVE determine an equation of the line which is the perpendicular bisector of the segment whose endpoints ar

e (-5,3) and (7,2). make sure to show all work.
Mathematics
1 answer:
katen-ka-za [31]3 years ago
6 0

Answer:

Perpendicular Bisector Equation: y = 12x - 9.500

Step-by-step explanation:

Let find out the midpoint for given coordinates as follows:

[(-5+7)/2, (3 +2)/2]

= (2/2, 5/2)

= (1,5/2)

The midpoint coordinates are (1,5/2) means (x1 , y2)

2. Find the slop of line for given coordinates as follows:

(2-3)/(7-(-5)

= -1/12

3. Find the negative reciprocal as follows

-1/12

= 12 (m)

4. Now find the perpendicular bisector equation as follows:

y – y1 = m ( x – x1)

y – 3 = 12 (x – (-5)

y = 12x - 9.5

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A body moves s metres in a time t seconds so that s = t3 – 3t2 + 8. Find:
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Using derivatives, it is found that:

i) v(t) = 3t^2 - 6t

ii) 9 m/s.

iii) a(t) = 6t - 6

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<h3>What is the role of derivatives in the relation between acceleration, velocity and position?</h3>
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  • The acceleration is the derivative of the velocity.

In this problem, the position is:

s(t) = t^3 - 3t^2 + 8

item i:

Velocity is the <u>derivative of the position</u>, hence:

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Item iii:

Derivative of the velocity, hence:

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a(2) = 6(2) - 6 = 6

The acceleration is of 6 m/s².

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Hence 1 second.

You can learn more about derivatives at brainly.com/question/14800626

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