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IrinaK [193]
3 years ago
9

Please help solve this question been stuck for a while​

Mathematics
1 answer:
damaskus [11]3 years ago
6 0

Answer:

7.7

Step-by-step explanation:

To find the intersection points of the line and the circle we have to set up a system with their equations and solve. The system would look like this:

\left \{ {{x=1              } \atop {x^2+y^2=16}} \right.

To solve, substitute 1 for x in the second equation to get:

1^2+y^2=16

Solving, we get:

y=\sqrt{15}, y=-\sqrt{15}

Therefore, the two points of intersection are (1,\sqrt{15} ) and (1,-\sqrt{15}). The distance between these two points (the length of the chord in the circle) is 2\sqrt{15} which is 7.745966692414... which is 7.7 rounded to the nearest tenth.

Hope this helps :)

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Nina opened a savings account and deposited $300.00. The account earns 4% interest, compounded monthly. If she wants to use the
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Step-by-step explanation:

Use the compound amount formula:

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Here, A = $300(1 + 0.04/12)^(12*3), or

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1. The difference of five times a number and 6 is -2.
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The table shows the price for different numbers of board games:
zlopas [31]

Answer:

We conclude that the price is 3.5 times the number of board games.

Hence, option B is true.

Step-by-step explanation:

We know that when y varies directly with x, the equation is

y ∝ x

y = kx

k = y/x

where 'k' is called the proportionality constant.

From the table,

For the point (2, 7)

k = y/x

  = 7/2

  = 3.5

For the point (4, 14)

k = y/x

   = 14 / 4

   = 7/2

    = 3.5

For the point (5, 17.50)

k  = y/x

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   = 3.5

For the point (9, 31.50)

k  = y/x

   = 31.50 / 9

   = 3.5

From the above calculations, we computed that the value of the proportionality constant remains the same.

Thus, the table of numbers represents a proportional relationship.

Therefore, the equation becomes

y = kx

The price of 2 board game

y = 3.5 (2)

  = 7

The price of 4 board game

y = 3.5 (4)

  = 14

Therefore, we conclude that the price is 3.5 times the number of board games.

Hence, option B is true.

6 0
3 years ago
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