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soldi70 [24.7K]
3 years ago
5

The general form of the equation of a circle is x2 + y2 + 42x + 38y − 47 = 0. The equation of this circle in standard form is (x

+ 21)^2 + (y + 19)^2 = 849. what is the centerpoint of circle and radius? please help me
Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
5 0
Equation of a circle is given by (x - a)^2 + (y - b)^2 = r^2; where (a, b) is the center of the circle and r is the radius.

For the given circle: (x + 21)^2 + (y + 19)^2 = 849
(x - (-21))^2 + (y - (-19))^2 = (√849)^2

a = -21, b = -19 and r = √849
Therefore, the centerpoint of the circle is (-21, -19) and the radius is √849
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Anarel [89]

Answer:

The amount of Soyabean = 608.82 pounds.

The amount of Oats  = 900-608.82 = 291.18 pounds.

Step-by-step explanation:

Given that the Soybean Meal has 46% CP and Oats has 12% CP.

The total amount of ration is 900 lbs of 35% CP.

Let x pounds of Soyabean has been used, so,

the amount of Oats = 900-x lbs.

The CP amount in 900 lbs mixture will be equal to the sum of CP amounts in x lbs Soyabean and 900-x lbs Oats, i.e

35% of 900 = 46% of x + 12% of (900-x)

\Rightarrow \frac{35}{100}\times 900=\frac{46}{100}\times x+\frac{12}{100}\times (900-x)

\Rightarrow  35\times 900 = 46x + 12\times 900 - 12 x

\Rightarrow 34x= 900(35-12)

\Rightarrow x = (900\times 23)/34

\Rightarrow x = 608.82 lbs.

So, the amount of Soyabean = 608.82 pounds.

The amount of Oats  = 900-608.82 = 291.18 pounds.

5 0
3 years ago
Lily read 4 books in December and read 7 books in January. What percent did she increase the number of books she read?
OLEGan [10]

Answer: 175%

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3 years ago
Lesley purchased 5 beads at a total cost of 80 cents. The round beads cost 15 cents each, and the oval beads cost 20 each. The e
PtichkaEL [24]

Answer:

Lesley purchased 1 oval bead and 4 round beands.

Step-by-step explanation:

Given that Lesley purchased 5 beads at a total cost of 80 cents, and the round beads cost 15 cents each, and the oval beads cost 20 each, to determine what are the numbers of round and oval beads Kelsey purchased, the following calculation must be performed :

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4 0
3 years ago
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For example:

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3 years ago
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