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erica [24]
3 years ago
9

Form a third degree polynomial function with real coefficients such that -9+i and 7 are zeros

Mathematics
1 answer:
jonny [76]3 years ago
7 0
Yes they are that's correct
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Write an equation in slope-intercept form from the linear inequality graphed in the picture.
stepladder [879]

Answer:

  • equation: y = x+3
  • inequality: y < x+3

Step-by-step explanation:

The slope of the line is 1 unit of rise for 1 unit of run, so ...

  m = rise/run = 1/1 = 1

The y-intercept is 3 grid lines above the x-axis, so is (0, 3).

Then the equation of the line is ...

  y = 1x +3

The inequality has that line as a boundary, but the y-values on the line are not part of the solution space. Only y-values below the line (less than those on the line) are in the solution. The inequality is ...

  y < x +3

3 0
3 years ago
On a coordinate plane, 3 triangles are shown. Triangle B C D has points (1, 4), (1, 2), (5, 3). Triangle B prime C prime D prime
Tresset [83]

The rule which describe the composition of transformations that

maps ΔBCD to ΔB"C"D" is:

Reflection across the y-axis composition translation of 6 units x,

negative 5 units y ⇒ last answer

Step-by-step explanation:

Let us revise the reflection across the y-axis , horizontal translation

and vertical translation

1. If point (x , y) is reflected across the y-axis, then its image is (-x , y)

2. If point (x , y) is translated h units to the right, then its image is

   (x + h , y), if translated h units to the left, then its image is (x - h , y)

3. If point (x , y) is translated k units up, then its image is (x , y + k),

   if translated k units down, then its image is (x , y - k)

∵ The vertices of triangle BCD are (1 , 4) , (1 , 2) , (5 , 3)

∵ The vertices of triangle B'C'D' are (-1 , 4) , (-1 , 2) , (-5 , 3)

∵ The x-coordinates of the vertices of Δ B'C'D' have the same

   magnitude of x-coordinates of Δ BCD and opposite signs

∴ Δ B'C'D' is the image of Δ ABC after reflection across the y-axis

∵ The vertices of triangle B'C'D' are (-1 , 4) , (-1 , 2) , (-5 , 3)

∵ The vertices of triangle B''C''D'' are (5 , -1) , (5 , -3) , (1 , -2)

∵ The image of -1 is 5 and the image of -5 is 1

∴ The x-coordinates of the vertices of triangle B'C'D' are added by 6

∵ The image of 4 is -1 , image of 2 is -3 and the image of 3 is -2

∴ The y-coordinates of the vertices of triangle B'C'D' are subtracted

   by 5

∴ Δ B"C"D" is the image of Δ B'C'D' by translate 6 units to the right

  and 5 units down ⇒ (x + 6 , y - 5)

The rule which describe the composition of transformations that

maps ΔBCD to ΔB"C"D" is:

Reflection across the y-axis composition translation of 6 units x,

negative 5 units y

Learn more:

You can learn more about reflection in brainly.com/question/11203617

#LearnwithBrainly

3 0
3 years ago
Read 2 more answers
milan sold t shirts and hats at a festival. He made a $5 profit for each t shirt he sold. He also made a profit of $40 from sell
Nikitich [7]
125-40=85
85/5=17
Answer=He sold 17 shirts
5 0
3 years ago
Lexi needs to buy 105 vases for a party each package has 6 vases how many packages should Lexi buy?
antiseptic1488 [7]
Lexi needs to buy 18 packages. To find the answer, divide the number of vases she needs, 105, divided by 6 (the vases per package). 106/6 is 17.5. Because you can't buy a half of a package, she would have to buy 18 packages.
8 0
3 years ago
Reflect A across the x-axis. Label the reflection as N, and give its coordinates.
Kipish [7]

Answer:

N (-4,3)

Once A is reflected over the horizontal line, it is (-4,3)

4 0
3 years ago
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