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labwork [276]
2 years ago
15

K' (-2.5, -0.5) is the imagine of P after a dilation centered at the origin with a scale factor of 1/4. What are the coordinates

of K?
Mathematics
1 answer:
user100 [1]2 years ago
5 0

Answer:

K (- 10, - 2 )

Step-by-step explanation:

To obtain the original coordinates multiply by the reciprocal of \frac{1}{4}

That is multiply the image coordinates by 4

K' (- 2.5, - 0.5 ) → K (-2.5(4), (- 0.5(4) ) → K (- 10, - 2 )

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Choose the correct product of (6x − 2)(6x + 2). (1 point)
Vanyuwa [196]
You did not give any choices but this can easily be solved using the FOIL method. 

FOIL stands for First, Outside, Inside, Last. 

In your equation you have (6x-2)(6x+2)
You will multiply the terms that correspond to each letter 

First: Means first terms of each set. In this case 6x and 6x
6x x 6x = 36x^{2} Now you have your first term in the sequence.

Outside: Means terms found in the outside areas of the whole equation, in this case it is 6x and 2
6x x 2 = 12x Now this is the second term

Inside: Means terms found in the inside areas of the whole equation, in this case it is -2 and 6x
-2 x 6x = -12x Now this is your third term

Last: Means the last terms of each set. In this case it is -2 and 2
-2 x 2 = -4  This is your last term

Now you have what you need for your new equation:

36x^{2} + 12x -12x - 4

Because your second and third terms are like terms, you can combine them by doing the operation indicated. 12x-12x = 0 so now you can cancel it out from your equation and your left with:

36 x^{2} - 4 This is your product
6 0
2 years ago
A cell phone company charges a monthly fee plus 0.25 for each text message. The monthly fee is $30.00 and you owe $59.50. How ma
kogti [31]
238 messages. 
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3 years ago
Which of the following statements is TRUE? You cannot choose the Economy Plan if you have a family. You can choose to opt out of
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The statement which is true is; You can choose to opt out of any health care, vision coverage, and/or dental coverage included in the Standard Plan described in the Medical Plan documents.

<h3>Medical plans</h3>

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2 years ago
The box-and-whisker plot represents the lengths (in minutes) of movies being shown at a theater.
GaryK [48]

Answer:

20

Step-by-step explanation:

130-110

Q3-Q1=IQR

Hope this helps!

3 0
1 year ago
Read 2 more answers
What is the equation of a line that passes through the point (8, 1) and is perpendicular to the line whose equation is y=−2/3x+5
Anuta_ua [19.1K]

Answer:

y = \frac{3}{2} x-11

Step-by-step explanation:

We are to find the equation a line that passes through the point (8, 1) and which is perpendicular to a line whose equation isy = - \frac{2}{3} x+5.

We know that the slope of line which is perpendicular to another line is the negative reciprocal of the slope of the other line so it will be \frac{3}{2}.

Then, we will find the y-intercept of the line using the standard equation of a line:

y=mx+c

1=\frac{3}{2} (8)+c

c=-11

Therefore, the equation of the line will be y = \frac{3}{2} x-11.


7 0
3 years ago
Read 2 more answers
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