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siniylev [52]
3 years ago
13

9z + 93 = -9z + 3 how do you solve for z?

Mathematics
1 answer:
Serhud [2]3 years ago
6 0

Answer:

z = -5

Step-by-step explanation:

add 9z to both side giving you ---> 18z+93 = 3

now subtract 93 from both sides ---> 18z = -90

now divide 18 by both sides and get your z

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3 years ago
Line L is mapped onto the line t by a dilation centered at
STatiana [176]

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

<em>Very important note:</em>

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

7 0
3 years ago
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