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Yuliya22 [10]
3 years ago
14

Which point lies on the circle represented by the equation (x+5) + (y-9) = 8

Mathematics
1 answer:
olga_2 [115]3 years ago
3 0

Answer:

(-5,9+√8)

Step-by-step explanation:

There are two ways in which you can find a point that lies in the circle. One of them is to do y the subject of the formula, and another one is to determine the center of the circumference, and with the information of the radius, you can sum this value upward or downward.

the general equation of a circle is:

(x-h)^2+(y-k)^2=r^2

with center at (h,k)

you have the following equation:

(x+5)^2+(y-9)^2=8\\\\h=-5\\\\k=9\\\\r=\sqrt{8}

Then, the center is (-5,9)

if you sum the value of the radius in one of the fourth directions (up, down, left, right), for example upward you have

(-5,9+r)=(-5,9+\sqrt{8})

Then, one point that lies in the circle is (-5,9+√8)

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Answer:

y = -2x -3

Step-by-step explanation:

- the altitude trough F is a perpendicular line to the line DE

- find slope of line DE

D ( x2 = -5, y2 = -1); E (x1 = 3, y1 = 3)

slope m = (y2-y1) / (x2-x1) = (-1-3) / (-5-3) = -4/ -8 = 1/2

-find equation of the altitude trough F

lines that are perpendicular have the slope negative reciprocal (negative reciprocal of 1/2 is -2)

y= -2x +b , for point F(1, -5)

-5 = -2*1 +b, add 2 to both sides

-5 +2 = b, combine like terms

-3 =b

equation of the altitude trough F is y = -2x -3

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Jason has read 70% of a 310 page book. How many pages has he read? How many pages has he not read
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50%

Step-by-step explanation:

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Sarah calculates that she spends 15% of a school day and science class if she spends 75 minutes and science how many minutes doe
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4 years ago
Here are 180 candies in a candy shipment. There are Gobs, Blobs, and Toffees. The bage are made in ratio of 4:2:3 of Gobs, to Bl
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Answer:

The answer to the cost for each toffee is given below:

Step-by-step explanation:

The computation of the cost for each toffee is shown below:

Given that

There are a total 180 candies hat includes three types  in a ratio of 4:2:3

Gobs = 4 ÷ 9 × 180 = 80

Blobs = 2 ÷ 9 × 180 = 40

Toffees = 3 ÷ 9 × 180 = 60

Now the total cost of all the candies shipment is $430

So,

The equation would be

80 × $1.50 + 40 × $2.50 + 60 × per cost = $430

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60 × per cost = $430 - $120 - $150

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3 years ago
The Parry Glitter Company recently loaned $300,000 to FIX 92, a local radio station. The radio station signed a noninterest-bear
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Answer:

The Parry Glitter Company

The Parry Glitter Company should record the Notes Receivable as $300,000.

It should also record the interest receivable per year as $24,000 and the advertising cost as $24,000 per year.  These bring into the accounting records the interest revenue and also the advertising expense, which eventually cancel each other.

Step-by-step explanation:

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Notes Receivable = $300,000

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Therefore, the cost of the free advertising will be equal to $24,000 ($300,000 * 8%), which is the cost of the interest to the radio station.

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