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andrey2020 [161]
1 year ago
12

Use the rational zeroes theorem to write the

Mathematics
1 answer:
scoundrel [369]1 year ago
8 0

The y factors of the given quadratic equation is -1 and 40/22.

According to the statement

we have given that the equation and we have to find the factors of those equation.

So, The given equation is:

Y =x^2-23x^2 + 18x+40

where y is the factors of that equation.

So, we have to find the factors of the given quadratic equation.

x^2-23x^2 + 18x+40 = 0

Then after solving it become

-22x^2 + 18x+40 = 0

Then take negative sign common from it then

22x^2 - 18x - 40 = 0

Make the factors of this quadratic equation

22x^2 + 22x -40x - 40 = 0

Now take common values 22x and 40 from the equation then

22x (x + 1) -40 (x + 1) = 0

Then it become

(22x - 40) (x + 1) = 0

Then the values of x become from the equation is

x = -1, x= 40/22

The value of the factors y is -1 and 40/22.

So, The y factors of the given quadratic equation is -1 and 40/22.

Learn more about Quadratic equation here

brainly.com/question/24334139

#SPJ1

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<u><em>Answers:</em></u>
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle

<u><em>Explanation:</em></u>
<u>For shapes to be similar:</u>
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape

Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes

<u>Let's check the choices:</u>
<u>1- </u><span><u>The corresponding sides of the triangles are congruent:</u>
This option is incorrect as dilation changes the lengths of the sides

<u>2- </u></span><span><u>The corresponding angles of the triangles are congruent:</u>
This option is correct as neither dilation nor rotation alters the measures of the angles

<u>3- </u></span><span><u>The corresponding sides of the image are 5 times as long as those of the pre-image:</u>
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image

<u>4- </u></span><span><u>The image is a reduction of the pre-image:</u>
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced

<u>5- </u></span><span><u>Neither the dilation nor the rotation change the shape of the triangle:</u>
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)

<u>6- </u></span><u>The rotation reduces the size of the triangle:</u>
This option is incorrect as rotation does not alter the size of the shape. It only changes its position

Hope this helps :)

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Answer:

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Step-by-step explanation:

the answers are C and D.

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