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kupik [55]
2 years ago
7

What transformation is represented by the rule (x, y)→(−x, −y) ?

Mathematics
2 answers:
Ray Of Light [21]2 years ago
8 0

Answer:

Rotation of 180° about the origin.

Step-by-step explanation:

Given :  (x, y)→(−x, −y).

To find : What transformation is represented by the rule.

Solution : We have given that (x, y)→(−x, −y).

By the Rotation  rule of 180° about origin is  (x, y) → (−x, −y).

Coordinates of x change in to  -x  and coordinates of y change in to -y .

Example : is f(x) = ( 2 ,3) if we rotate it 180° about origin then f(x) = (-2,-3).

Therefore, rotation of 180° about the origin.

postnew [5]2 years ago
5 0
<span>rotation of 180° about the origin is correct. Changing the signs of both x and y rotates 180 degrees.
</span>
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jok3333 [9.3K]
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Now let us take the case of first multiplication that is given:
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7 0
3 years ago
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A segment has an endpoint at (1,−2). The midpoint is at (−4,−2). What are the coordinates of the other endpoint?
vodka [1.7K]

Answer:

The other midpoint is located at coordinates (-9,-2) (Second option)

Step-by-step explanation:

<u>Midpoints</u>

If P(a,b) and Q(c,d) are points in \mathbb{R} ^2, the midpoint between them is the point exactly in the center of the line that joins P and Q. Its coordinates are given by

\displaystyle x_m=\frac{a+c}{2}

\displaystyle y_m=\frac{b+d}{2}

We are given one endpoint at P(1,-2) and the midpoint at M(-4,-2). The other endpoint must be at an equal distance from the midpoint as it is from P. We can see both given points have the same value of y=-2. This simplifies the calculations because we only need to deal with the x-coordinate.

The x-distance from P to M is 1-(-4)=5 units. This means the other endpoint must be 5 units to the left of M:

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5 0
3 years ago
Jimmy's school is selling tickets to the
natka813 [3]
Children’s tickets are $4, adult tickets are $14




Explanation:

4a+6c=80

If they made $4 more dollars on the second day than the first by selling one extra child ticket then we know a child’s ticket is $4 per ticket.


4a+6*4=80
4a+24=80
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So each adult ticket costs $14.


You can check by filling in $14 and $4 for each equation.


4*14+6*4=80

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2 years ago
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Answer:

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Step-by-step explanation:

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Now we need to get all the constants on the same side

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