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masya89 [10]
3 years ago
8

Quadrilateral PERK has vertices at P(4,4), E(12,4), R(10,−2), and K(2,−2). Find the vertices of the quadrilateral after a dilati

on with scale factor 32.
These are the options. 1,2,3, and 4.

1. P'(8/3, 8/3), E'(8, 8/3), R'(20/3, −4/3), and K'(4/3, −4/3)
2. P'(−6, −6), E'(−18, −6), R'(−15, 3), and K'(−3, 3)
3. P'(6, 6), E'(18, 6), R'(15, −3), and K'(3, −3)
4. P'(−8/3, −8/3), E'(−8, −8/3), R'(−20/3, 4/3), and K'(−4/3, 4/3)
Mathematics
1 answer:
Murrr4er [49]3 years ago
8 0

Answer:

  option 3

Step-by-step explanation:

Dilation by a scale factor of 3/2 multiplies each of the coordinate values by 3/2. For example, P' = (3/2)P = (3/2)(4, 4) = (6, 6).

The only choice with coordinates matching these is option 3.

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Matthew is packing 120 pencils and 108 notebooks
Rasek [7]

9514 1404 393

Answer:

  • 12 boxes
  • 10 pencils, 9 notebooks

Step-by-step explanation:

a) The number of boxes will be the greatest common divisor (GCD) of the numbers 120 and 108. That number is 12.

  120 = 12×10

  108 = 12×9 . . . . 12 is the greatest common divisor

Matthew can make 12 boxes with equal numbers of the items.

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b) 120 pencils divided by 12 will be 10 pencils per box.

108 notebooks divided by 12 will be 9 notebooks per box.

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<em>Additional comment</em>

It helps to be familiar with multiplication tables up to about 12×12.

The GCD can always be found using Euclid's algorithm. Look at the remainder when the larger number is divided by the smaller. If it is not zero, then replace the larger number with the remainder and repeat. If the remainder is zero, the divisor is the GCD.

Here, we have ...

  120/108 = 1 r 12.

  108/12 = 9 r 0   ⇒   12 is the GCD

7 0
3 years ago
A donation center had filled up 44 small bins with canned food with each bin containing 24 cans. They plan to send the cans out
Valentin [98]
Each food bank would receive 264 cans.



44 Bins with 24 cans. 44•24= 1,056

n= (44•24) / 4
n= 1,056 / 4
n= 264 cans per food bank
8 0
3 years ago
What is the y intercept of the function f(x)=2 x 3^x
Lelechka [254]

Answer:

(0,2)

Step-by-step explanation:

by substituting 0 for x you can find the y-intercept

f(x)=2*3^x

f(x)=2*3^0

f(x)=2*1

f(x)=2

5 0
2 years ago
What is the multiplicative inverse of 3/7 ? A) −7/3 B) −3/7 C) 1/7 D) 7/3
vredina [299]

Answer:

B

Step-by-step explanation:

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3 years ago
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Hope this helps .. sorry if it’s wrong .

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