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3 years ago

Solve for x and y y=2x+1 y=x-1

Mathematics

1 answer:

aalyn [17]3 years ago

6 0

Answer:

2=x

Step-by-step explanation:

Substitute the

−x−1 for y to get −x−1=−2x+1

Add x to −x and −2x

to get

−1=−1x+1

Subtract 1 from 1 and −1

to get

−2=−1x

Divide both sides by

-1

to get

2=x

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Step-by-step explanation:

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2 years ago

Consider line segment AB whose endpoints are (1, 4) and (4, 8). If this segment is dilated by a scale factor of 4 centered at th

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Answer:

The length of the new segments A'B' is 20 units ⇒ answer C

Step-by-step explanation:

* Lets revise the dilation

- A dilation is a transformation that changes the size of a figure.

- It can become larger or smaller, but the shape of the figure does

not change.

- The scale factor, measures how much larger or smaller the image

will be

- If the scale factor greater than 1, then the image will be larger

- If the scale factor between 0 and 1, then the image will be smaller

* Lets solve the problem

- line segment AB whose endpoints are (1, 4) and (4, 8) is dilated by

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∵ The scale factor is 4 and it is greater than 1

- The length of the image of line segment AB will enlarged by the

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∴ A'B' = 4 AB

* Lets find the length of AB by using the rule of the distance

∵ $d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

∵ A = $(x_{1},y_{1})$ and B = $(x_{2},y_{2})$

∵ A = (1 , 4) and B = (4 , 8)

∴ $(x_{1},y_{1})=(1 , 4)$ and $(x_{2},y_{2})=(4 , 8)$

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3 years ago

1. Lily wants to buy 4 pounds of cereal for her camping trip. The boxes are each 18 ounces. According to the number line, how ma

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Step-by-step explanation:

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