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denis23 [38]
3 years ago
15

The image of the point (-6, -2)under a translation is (−7,0). Find the coordinates of the image of the point (7,0) under the sam

e translation.
Mathematics
1 answer:
lesya692 [45]3 years ago
4 0

Answer:

hello :  solutio  ( 6 ; 2)

Step-by-step explanation:

the translation is :    x' = x + a ....(*)

                                 y' = y + b ...(**)

calculate  the coordinates ( a ; b)  of vectro by the translation

you have : x' = -7    y' = 0     x = -6    y = -2

Substitute in (*) , (***) :   -7 = -6 +a

                                      0 = - 2 + b

a = -1   and b= 2

so :  x' = x - 1

      y' = y + 2

calculate now the coordinates of the image of the point (7,0) under the same translation.

x = 7  and b = 0

so : x' = 7-1 = 6   and y' = 0 + 2 = 2

the image is  : ( 6 ; 2 )

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The leader of the team wants to do everything him or herself. They have a very big ego and are difficult to work with. What is t
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Step-by-step explanation:

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3 years ago
The state of Maine encourages recycling by giving refunds for certain recycled items. When you recycle a glass bottle, you get b
Klio2033 [76]

Given that cost of 1 drinks in a glass bottle = $2.00

Given that cost of 1 drinks in an aluminum can = $0.50

Given that cost of 1 drinks in a plastic bottle = $1.50

Then sum of costs  of 1 drink from each will be = 2.00+0.50+1.50


Given that you buy two of each then total cost will be given by 2(2.00+0.50+1.50)


Hence expression that represents the amount of money you will spend is 2(2.00+0.50+1.50).

Using distributive property, we can rewrite it as:

2(2.00+0.50+1.50)=2*2.00+2*0.50+2*1.50

This is final answer of part A.


----------

Given that refund on 1 drinks in a glass bottle = $0.05

Given that refund on 1 drinks in an aluminum can = $0.10

Given that refund on 1 drinks in a plastic bottle = $0.15

Then sum of refunds on 1 drink from each will be = 0.05+0.10+0.15


Given that you plan to recycle all of the items you purchased then total refund will be given by 2(0.05+0.10+0.15)


Hence expression to represent the amount of refund you will receive is 2(0.05+0.10+0.15).

Using distributive property, we can rewrite it as:

2(0.05+0.10+0.15)=2*0.05+2*0.10+2*0.15

This is final answer of part B.


----------

Net cost is given by difference of total cost and total refund

Net cost = 2(2.00+0.50+1.50) - 2(0.05+0.10+0.15)

= 2*2.00+2*0.50+2*1.50 - (2*0.05+2*0.10+2*0.15)

= 4+1+3 - (0.10+0.20+0.30)

= 8 - 0.60

= 7.40

Hence net cost is $7.40

5 0
3 years ago
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Answer:

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Step-by-step explanation:

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The cost of x children tickets is $5.10x and the cost of y adult tickets is $9.70y, so

5.10x+9.70y =896.60.

From the first equation,

x=128-y,

then

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Answer:

D.Any irrational number added to any irrational number is equal to a rational number.

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