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DerKrebs [107]
3 years ago
6

if a point works in both equations of a linear system, then that point must be the solution to the linear system when you solve

a linear system you find that one point makes both equations true what point is the solution to the system above ?
Mathematics
1 answer:
mariarad [96]3 years ago
4 0
True, if a points works in both equations of a linear system, then that point is the solution.
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Help quick ❗️❗️ Which sequence of transformations will change did your PQRS to figure P’Q’R’S’?
babymother [125]

Answer:

Counterclockwise rotation about the origin by 90° followed by reflection over the Y-axis ⇒ answer (D)

Step-by-step explanation:

* Lets revise the reflection and the rotation of a point

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∴ Its image is (x , -y)

- If point (x , y) reflected across the y-axis

∴ Its image is (-x , y)

- If point (x , y) rotated about the origin by angle 90° counter clockwise

∴ Its image is (-y , x)

- If point (x , y) rotated about the origin by angle 90° clockwise

∴ Its image is (y , -x)

- If point (x , y) rotated about the origin by angle 180°

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* There is no difference between rotating 180° clockwise or  

anti-clockwise around the origin

- In our problem

# The vertices of the original figure are:

  P(1 , -3) , Q (3 , -2) , R (3 ,-3) , S (2 , -4)

# The vertices of the image are:

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∵ x and y are switched

∴ The figure is rotated about origin by 90°

∵ The signs of the x-coordinates and the y-coordinates

   didn't change

∴ The rotation is followed by reflection, to know about which

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∵ P (1 , -3) ⇒ after rotation 90° counter clockwise is (3 , 1)

∵ Q (3 , -2) ⇒ after rotation 90° counter clockwise is (2 , 3)

∵ R (3 , -3) ⇒ after rotation 90° counter clockwise is (3 , 3)

∵ S (2 , -4) ⇒ after rotation 90° counter clockwise is (4 , 2)

* The images are P' (-3 , 1) , Q' (-2 , 3) , R' (-3 , 3) , S' (-4 , 2)

- The sign of x-coordinates of all of them changed

∴ The rotation followed by reflection over the y-axis

* The answer is ⇒ Counterclockwise rotation about the origin

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7 0
3 years ago
The vertices of the polygon are A (3,5), B (6,5), C (6, 9), and D (3,9). Find the distance between the vertices B and C.
mestny [16]

Answer:

4

Step-by-step explanation:

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√(x2 - x1)² + (y2 - y1)²

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√(0)² + (4)²

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3 0
3 years ago
A taxi service has two rates, as follows: Rate A charges a flat $2.50 for every mile; rate B charges $15 plus $1.50 per mile. At
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One must travel 16 miles before rate B becomes the cheapest rate.
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5 0
3 years ago
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A hand-held digital music player was marked down by 1/4 of the original price.
Readme [11.4K]

It was marked down 1/4 of the original price to $128. That means $128 is equal to 3/4 of the original price. So the original price would be 4/3 of $128. I get $170.67 (rounded to the nearest cent).

3 0
3 years ago
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