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3 years ago

Simplify the midpoint of QS.

Mathematics

1 answer:

oee [108]3 years ago

8 0

Answer:

[(a + b), c]

Step-by-step explanation:

Midpoint of a segment with extreme ends represented by ordered pairs $(x_1,y_1)$ and $(x_2,y_2)$ ,

Midpoint = $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

It is given that extreme ends of the segment QS are Q(2b, 2c) and S(2a, 0)

Coordinates of the midpoint of QS will be,

= $(\frac{2a+2b}{2},\frac{2c+0}{2} )$

= [(a + b), c]

Therefore, ordered pair representing the midpoint of QS will be [(a + b), c].

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The point P(6, –1) is translated according to the rule (x, y) → (x – 5, y – 2).

monitta

The resulting point by considering that P(x, y) = (6, - 1) and P'(x, y) = P(x, y) + (- 5, - 2) is equal to the coordinates P'(x, y) = (1, - 3). (Right choice: C)

<h3>How to determined a resulting point by translation</h3>

In this question we need to determine the new location of a point by using a translation formula. Translations are rigid transformations in which a point is translated on a Cartesian plane. We have the following formula:

P'(x, y) = P(x, y) + (- 5, - 2) (1)

Where:

P(x, y) - Original point
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If we know that P(x, y) = (6, - 1), then the resulting point is:

P'(x, y) = (6, - 1) + (- 5, - 2)

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The resulting point by considering that P(x, y) = (6, - 1) and P'(x, y) = P(x, y) + (- 5, - 2) is equal to the coordinates P'(x, y) = (1, - 3). (Right choice: C)

To learn more on translations: brainly.com/question/17152175

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2 years ago

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