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3 years ago

Best Method using system of equations x=4y+8 2x-8y=-3

2 answers:

8 0

In this case, since one equation is in the form of x=, substitution would be best for this problem. Simply plug in 4y + 8 in place of x in the second equation, solve for y, then plug that value into the first equation to find x.

bagirrra123 [75]3 years ago

8 0

X=4y+8
2x-8y=-3

lets use the substitution method
2x-8y=-3
2(4y+8)-8y=-3
8y+16-8y=-3
16 is not equal to -3 so lets try elimination

x=4y+8
2x-8y=-3

xhange the 1st equation to standard for
x-4y=8
2x-8y=-3

multiply the 1st equation to remove x
2x-8y=8
2x-8y=-3
0 is not equal to 11

therefore we cannot solve using both equations so te question's answer is undefined

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2 years ago

The opposite sides of a parallelogram have measures (2x+10) cin and (x+15)

xz_007 [3.2K]

Answer:

The measure of the sides is 20 cm.

Step-by-step explanation:

Opposite side of a parallelogram:

Opposite sides of a parallelogram are congruent, that is, they have the same measure.

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This means that:

$2x + 10 = x + 15$

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3 years ago

A triangle is dilated by a scale factor of 1/5 and then rotated 90 degree clockwise about the origin. Why is the image similar t

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Answers:
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

Explanation:
For shapes to be similar:
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

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

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

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

4- The image is a reduction of the pre-image:
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

5- Neither the dilation nor the rotation change the shape of the triangle:
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)

6- The rotation reduces the size of the triangle:
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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2 years ago

Read 2 more answers

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Eres una pinche pendejha huevona

Hija de tu re Phuta bomba madreh, tienes una cara de vaca y puedes venir a mamrmeh la vergha

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3 years ago

Probability scenarios?

velikii [3]

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The probability of picking the yellow shoe is 1/5.

There are lots of more examples out there!

Hope helps!-Aparri

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2 years ago