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Temka [501]
3 years ago
5

Determine the center and radius of the following circle equation: x² + y2 - 6x + 16y + 48 = 0​

Mathematics
1 answer:
motikmotik3 years ago
4 0

Answer:

center (3,-8)

radius=5

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Raul has 56 bouncy balls. he puts three times as many balls into red gift bags as he puts into green gift bags. if he puts the s
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Raul has 56 bouncy balls

he puts the balls into red gift bags and green gift bags

so lets say he puts x number of balls into green gift bags

then we are told that he puts three times as many balls into red gift bags as he puts into green gift bags

so the number of balls he puts into red gift bags is - 3 * x = 3x

the total number of balls = 56

so we can write the following equation

x + 3x = 56

4x = 56

x = 56/4

x = 14

therefore the amount of balls he puts into green bags is - 14 balls


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3 years ago
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Staples recently charged $3.79 per ream (package of 500 sheets) of regular paper and $5.49 per ream of paper made of recycled fi
Ipatiy [6.2K]
<h3>Given</h3>

regular paper costs $3.79 per ream

recycled paper costs $5.49 per ream

$582.44 was spent for 116 reams

<h3>Find</h3>

the numbers of reams of each type that were purchased

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Let r and g represent the numbers of reams of regular and recycled ("green") paper, respectively.

... r + g = 116 . . . . . . . . 116 reams were purchased

... 3.79r + 5.49g = 582.44 . . . . this is the total cost of the purchase

Solve the first equation for r and substitute that into the second equation.

... r = 116 - g

... 3.79(116 - g) + 5.49g = 582.44 . . . . . use the expression for r

... 1.70g + 439.64 = 582.44 . . . . . . . . . simplify

... g = (582.44 -439.64)/1.70 = 84 . . . . subtract the constant, divide by 1.70

... r = 116 -84 = 32 . . . . . . . . . . . . . . . . . use the equation for r

32 regular reams and 84 recycled reams were purchased

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Answer:

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Step-by-step explanation:

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an equilateral triangle has a square root height if 3 so I'm guessing if you multiply square root of 3 times 8

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