Point M is the midpoint of PQ. The coordinates of P and M are given below.

Mathematics

1 answer:

Zepler [3.9K]3 years ago

7 0

The coordinates of Q are (-1,6)

Further Explanation:

Given points are:

$(x_m, y_m) = (5, -2)\\(x_p,y_p) = (11, -10)$

The formula for mid-pint is:

$(x_m, y_m) = (\frac{x_p+x_q}{2} , \frac{y_p+y_q}{2})\\From\ this\ we\ get\\x_m = \frac{x_p+x_q}{2}\\Putting\ values\\5 =\frac{11+x_q}{2}\\5*2 = 11+x_q\\10 = 11+x_q\\10-11 = x_q\\x_q = -1\\AND\\y_m = \frac{y_p+y_q}{2}\\-2 = \frac{-10+y_q}{2}\\-2*2 = -10+y_q\\-4 = -10+y_q\\-4+10 = y_q\\y_q = 6$

The coordinates of Q are (-1,6)

Keywords: Coordinate geometry, mid-point

Learn more about mid-point at:

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Answer:

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Step-by-step explanation:

Given that the Ignacio's legs are already at a height of 49.3cm and each rotation of the chair knob raises his legs another 4.8cm, we can set up an inequality to determine the number of rotations Ignacio could make without his legs touching the desk, which is at a height of 74.5cm:

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