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lyudmila [28]
3 years ago
13

I forgot how to do it help!?

Mathematics
1 answer:
Fantom [35]3 years ago
5 0

Replace x with -3 and add

y = -x+1

y = -( x ) + 1

y = -( -3 ) + 1 .... replace x with -3

y = 3 + 1 ... two negatives cancel to make a positive

y = 4

So the number 4 goes right next to -3. This means the point (x,y) = (-3,4) is on the line. This is shown as point A on the attached image below.

------------------------

Repeat for x = -1

y = -x + 1

y = -( x ) + 1

y = -( -1) + 1 ... replace x with -1

y = 1 + 1

y = 2

So the point (-1,2) is also on the line. This is shown as point B.

-------------------------

Repeat for x = 0

y = -x + 1

y = -0 + 1 ... replace x with 0

y = 1

So (0,1) is on the line. This is point C.

-------------------------

Finally, plug in x = 4

y = -x + 1

y = -4 + 1 ... replace x with 4

y = -3

So (4,-3) is on the line, shown as point D.

-------------------------

After you have at least 2 points plotted on the coordinate grid, you would draw a straight line through those points. Note how points A,B, C, & D are all on the same straight line. The slope of this line is -1 meaning you go down 1 unit each time you move to the right 1 unit. The y intercept is 1, which is where the blue line crosses the y axis.

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What set of reflections and rotations would carry rectangle ABCD onto itself? Parallelogram formed by ordered pairs A at negativ
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Answer:

Option (4).

Step-by-step explanation:

Let's take the coordinates of point A for the set of reflections and rotations given in the options.

Option (1). Rotate 180° → A(-4, 1) becomes (4, -1)

                Reflect over x-axis → (4, -1) becomes (4, 1)

                Reflect over the line y = x → (4, 1) becomes A'(1, 4)

Therefore, point A will not overlap itself after the number of transformations given.

Option (2). Reflect across x-axis → A(-4, 1) will become (-4, -1)

                  Rotate 180° → (-4, -1) becomes (4, 1)

                  Reflect over the x-axis → (4, 1) becomes A'(4, -1)

Therefore, point A(-4, 1) doesn't overlap A'(4, -1).

Option (3). Rotate 180° → A(4, 1) becomes (-4, -1)

                  Reflect over the y-axis → (-4, -1) becomes (4, -1)

                  Reflected over y = x → (4, -1) becomes (-1, 4)

So the point A(4, 1) becomes A'(-1, 4) after the set of reflections,

Option (4). Reflect over the y axis → A(-4, 1) becomes (4, 1)

                 Reflect over the x-axis → (4, 1) becomes (4, -1)

                 Rotate 180° → (4, -1) becomes A'(-4, 1)

Therefore, point A will overlap itself following the set of transformations.

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3 years ago
What is the approximate area of the shaded sector in the circle shown below?
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Answer: 26.5cm2

Step-by-step explanation:

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