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pashok25 [27]
3 years ago
13

The vertices of ΔJKL are J(–3, –2), K(1, 4), and L(4, 2). Which coordinate pairs are vertices of D5(ΔJKL)? Select all that apply

.
Mathematics
1 answer:
anygoal [31]3 years ago
3 0

Answer:

J' = (-15, -10)

K' = (5, 20)

L' = (20, 10)

Step-by-step explanation:

Given the coordinates J(–3, –2), K(1, 4), and L(4, 2)

D5(ΔJKL) means we need to dilate the coordinates by a constant of 5

To do that, we will multiply the coordinates by a value of 5

D5(ΔJKL)

J' =  (5(–3), 5(–2)),

J' = (-15, -10)

K' = (5(1), 5(4))

K' = (5, 20)

L' = (5(4), 5(2))

L' = (20, 10)

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Answer:

La familia de Gonzalo ha despilfarrado 15,768 litros de agua.

Step-by-step explanation:

Dado que Gonzalo observa que el grifo del lavabo gotea luego de un año, y el goteo se produce una velocidad de una gota por segundo y cada gota contiene 0.5ml de agua, para determinar cuántos litros de agua ha despilfarrado la familia de Gonzalo desde que ellos se dieron cuenta de la avería se debe realizar el siguiente cálculo:

1 año = 365 dias x 24 horas x 60 minutos x 60 segundos

0.5 x 60 x 60 x 24 x 365 = X

30 x 60 x 24 x 365 = X

1800 x 24 x 365 = X

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15,768,000 = X

15,768,000 / 1000 = X

15,768 = X

Por lo tanto, la familia de Gonzalo ha despilfarrado 15,768 litros de agua.

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Nivyana and Ana are selling their apparel to earn money for a cruise. Knitted scarves are $50 each in Mittens are $25 per pair.
Katarina [22]

Answer:

The number of knitted scarves is 10

The number of knitted mitten is 20

Step-by-step explanation:

Given as :

The cost of each knitted scarves = $50

The cost of pairs of mittens = $25

Total number of scarves and mitten bought = 30

The total money invested to pay for items = $1000

Let The number of knitted scarves = k

Let The number of mitten = m

<u>Now, According to question</u>

The total money invested to pay for items = cost of each knitted scarves × number of knitted scarves + cost of pairs of mittens × number of mitten

i.e $1000 = $50 × k + $25 × m

Or, 40 = 2 k + m

i.e 2 k + m = 40           ........A

And

Total number of scarves and mitten bought =  number of knitted scarves +  number of mitten

i.e k + m = 30            ...........B

Now, solving eq A and eq B

So, (2 k + m ) - ( k + m ) = 40 - 30

Or, (2 k - k) + ( m - m) = 10

Or, k + 0 = 10

∴  k = 10

So,  The number of knitted scarves = k = 10

Put the value of k into eq B

∵ k + m = 30

So, m = 30 - k

or, m = 30 - 10

∴  m = 20

The number of knitted mitten = m = 20

Hence,  The number of knitted scarves is 10 and The number of knitted mitten is 20  . Answer

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