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gogolik [260]
3 years ago
10

Margo has a coin collection. She was given 1 coin as a gift, and she adds 3 coins per year. Which of the graphs below represents

Margo's coin collection?
A) graph of line going through 1, 2 and 3, 4
B) graph of line going through 1, 1 and 3, 3
C) graph of line going through 1, 4 and 3, 10
D) graph of line going through 1, 2 and 2, 5
Mathematics
1 answer:
gavmur [86]3 years ago
4 0

Answer:

Option C) graph of line going through 1, 4 and 3, 10

Step-by-step explanation:

Let y equal to Margo's coin collection

Let x equal to number of years

At the begining x=0, y=1 → Point=(x,y)→Point=(0,1)

She adds 3 coins per year, then y=1+3x

At x=1, y=1+3(1)=1+3→y=4→Point=(x,y)→Point=(1,4)

At x=3, y=1+3(3)=1+9→y=10→Point=(x,y)→Point=(3,10)

The graph of line going through (1, 4) and (3, 10), then the option C is the correct.

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Step-by-step explanation:

Tan A = 1/2 means that the right triangle containing angle A has legs of length 1 and 2 units. So the hypotenuse  = √(1^2 + 2^2) = √5  (using the Pythagoras theorem). The side opposite to < A = 1 unit and the adjacent side = 2 (as tan = opposite / adjacent).

so cos A =  adjacent / hypotenuse =   2/√5.

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cos A / sin A = 2/√5 /  1/ √5 =  2.

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So the answer is:

2  +   1 /(√5 + 2).

We can simplify it further by multiplying top and bottom of the fraction by the complement of √5 + 2 which is √5 - 2.

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=  2 + √5 - 2 / 1

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3 0
3 years ago
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