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xenn [34]
3 years ago
10

A chess player moves a knight from the location (3, 2) to (5, 1) on a chessboard. If the bottom-left square is labeled (1, 1), t

he translation made is . If the player moves the knight from (5, 1) to (6, 3), the translation made is .
Mathematics
2 answers:
KATRIN_1 [288]3 years ago
6 0

Answer:

T(2, -1)

T(1, 2)

Step-by-step explanation:

From (3, 2) to (5, 1), the translation is T(2, -1). x goes up by 2. y goes down by 1.

From (5, 1) to (6, 3), the translation is T(1, 2). x goes up by 1. y goes up by 2.

Slav-nsk [51]3 years ago
3 0

Answer:

The real answer is:

1 square down, 2 squares right

2 squares up, 1 square right

For my plato fam

Step-by-step explanation:

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Classify the triangle.<br> O obtuse<br> O equiangular<br> Oright<br> O acute
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1. Given points ????(3, −5) and ????(19, −1), find the coordinates of point ???? that sit 3/8 of the way along AB ,close to A th
Nastasia [14]

Answer:  The required co-ordinates of point C are (9, -3.5).

Step-by-step explanation:   We are given the points A(3, -5) and B(19, -1).

We are to find the co-ordinates of point C that sit 3/8 of the way along AB, where the point P is close to A than to B.

According to the given information, we have

\dfrac{AC}{AB}=\dfrac{3}{8}\\\\\Rightarrow \dfrac{AC}{AC+BC}=\dfrac{3}{8}\\\\\Rightarrow 8AC=3AC+3BC\\\\\Rightarrow 5AC=3BC\\\\\Rightarrow AC:BC=3:5.

So, point C divides the line segment AB in the ratio 3 : 5.

We know that

if a point Q divides a line segment joining the points S(a,b) and T(c,d), in the ratio m : n, then the co-ordinates of Q are

\left(\dfrac{mc+na}{m+n},\dfrac{md+nb}{m+n}\right).

Therefore, the co-ordinates of point C are

\left(\dfrac{3\times19+5\times3}{3+5},\dfrac{3\times(-1)+5\times(-5)}{3+5}\right)\\\\\\=\left(\dfrac{57+15}{8},\dfrac{-3-25}{8}\right)\\\\=(9,-3.5).

Thus, the required co-ordinates of point C are (9, -3.5).

3 0
4 years ago
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