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Marianna [84]
3 years ago
11

A triangle has the following coordinates: (8,6), (4,-4), (-9,-2) After a reflection, it has the coordinates (-8,6), (-4, -4), (9

,-2). What was the line of reflection?
Mathematics
1 answer:
Phantasy [73]3 years ago
6 0

Answer:

The y-axis

Step-by-step explanation:

When the x coordinate changes signs but the y doesn't, it reflects across the y-axis

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Delaney would like to make a 5 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of peanuts and several
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Answer:

a) The system that models the situation is:

p + 0.2m = 3

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b) The solution of the system is:

m = 2.5

p = 2.5

Step-by-step explanat:

It is desired to obtain 5 pounds of a mixture containing 40% peanuts and 60% almonds.

It has a mixture of 20% peanuts and 80% almonds.

p: number of pounds of peanuts

m = amount of mixture

The equation that represents the amount of peanut and mixture that is needed is:

p + m = 5 pounds

m = 5-p (i)

The amount of peanut in total that the mixture should have is:

p + 0.2m = 0.6 (5)

p + 0.2m = 3 (ii)

a) The system that models the situation is:

p + 0.2m = 3

p + m = 5

Now we substitute (i) in (ii) and clear p.

p + 0.2 (5-p) = 3

p-0.2p = 2

p = 2.5 pounds

Now we find m

m = 5 - 2.5

m = 2.5 pounds

b) The solution of the system is:

m = 2.5

p = 2.5

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