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3 years ago

Line L is mapped onto the line t by a dilation centered at

Mathematics

1 answer:

STatiana [176]3 years ago

7 0

The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size

If the equation of a line is ax + by = k is dilated, with center origin and scale factor k, then the equation of the image of the line is kax + kby = kc
The line and its image are parallel
The coordinates of a general point on the image is (kx , ky)

Line L is mapped onto the line T by a dilation centered at the origin and a scale factor of 3.

That means lint T is the image of line L after dilation

∵ The equation of line L is 2x - y = 7

∵ Line L is dilated by scale factor 3 and centered at origin

- That means multiply the equation of line L by 3 to find the

equation of line t

∵ Line T is the image of line L after dilation

∴ The equation of line T is (3)(2x) - (3)(y) = (3)(7)

∴ The equation of line T is 6x - 3y = 21

Very important note:

The equation of line T is the same with equation of line L but multiplied by the scale factor 3 ⇒ L and T are coincide lines (same line)

That means the equation of lines T and L is 2x - y = 7

The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)

Learn more:

You can learn more about dilation in brainly.com/question/2480897

#LearnwithBrainly

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kvv77 [185]

Hello there.^••^

−7w+8(w+1)=w−7
w+8=w−7
w+8−w=w−7−w8=−7
8−8=−7−80=−15
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Step-by-step explanation:

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3 years ago

The area of a rectangle is 168 square feet. The ratio of the width to the length is

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Answer:

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Step-by-step explanation:

Given that,

Area of a rectangle is 168 square feet.

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According to question,

Area = 168 sq feet

l×b=168 sq feet

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42x² = 168

x² = 4

x = 2

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Answer:

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Step-by-step explanation:

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