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Solnce55 [7]
3 years ago
8

The coordinates for the endpoints of LM are L (-2, -3) and M (4, 5). LM is dilated by a scale factor of ( 1/ 2) from center of d

ilation (3, -2) to form Segment L′ M′ . Which statement is not true?
The length of Segment L′ M′ is one-half the length of Segment LM .
The length of Segment L′ M′ is twice the length of Segment LM .
The slope of Segment L′ M′ is the same as the slope of Segment LM .
Segment L′ M′ is parallel to Segment LM .
Mathematics
1 answer:
Ierofanga [76]3 years ago
8 0

Dilation is a transformation that preserves angles. This means that:

  • ∠OLM≅∠OL'M';
  • ∠OML≅∠OM'L',

where O(3,-2) is a center of dilation.

These pairs of congruent angles are alternate angles formed with lines LM and L'M' and two transversals OL and OL'. Thus, lines LM and L'M' must be parallel. So option D is true.

If lines LM and L'M' are parallel, then their slopes are equal and option C is true.

Now, since a scale factor is 1/2, the image segment L'M' has length that is one-half of the length of segment LM. Therefore, option A is true and option B is false.

Answer: statement B is false.

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At a price of $9 per box of oranges, the supply is 320,000 boxes and at a price of $8.50 per box, the supply is 270,000 boxes. F
artcher [175]

We want to find a linear equation that models the given situation.

The solution is p = $0.0001*q - $23

The general linear equation is:

p = m*q + c

Where m is the slope and c is the y-intercept.

If we know that the line passes through two points (x₁, y₁) and (x₂, y₂) then the slope can be written as:

m = \frac{y_2 - y_1}{x_2 - x_1}

Here we have the two points:

price = $9, boxes = 320,000

price = $8.50, boxes = 270,000

We can rewrite these as:

(320,000 , $9)

(270,000 , $8.50)

Then the slope of the line will be:

m = \frac{\$ 9 - \$ 8.50}{320,000 - 270,000}  = \$ 0.00001

Then the line is something like:

p = $0.0001*q + c

To find the value of c we can use one of the two given points, I will use the first one, (320,000 , $9).

Replacing that in our equation we get:

$9 = $0.0001*320,000 + c  

$9 - $0.0001*320,000  = c = -$23

Then the linear equation is:

p = $0.0001*q - $23

If you want to learn more you can read:

brainly.com/question/11687874

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