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irina1246 [14]
4 years ago
7

What is the radius for the circle given by the equation x^2+(y-3)^2=21

Mathematics
2 answers:
lina2011 [118]4 years ago
7 0

Answer:

4.583

Step-by-step explanation:

Equation of a circle is:

(x − h)² + (y − k)² = r²

where (h, k) is the center of the circle and r is the radius.

x² + (y − 3)² = 21

The center of the circle is (0, 3), and the radius is √21, or approximately 4.583.

s2008m [1.1K]4 years ago
5 0

x² + (y - 3)² = 21

We know the formula is (x - xo)² + (y - yo)² = r²

So, 21 is the radius²

21 = r²

r = √21

r = 4,58257

Rounding

r = 4,583

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The sum of Ellie's age and Genya's age is 60. In six years, Genya will be eight times as old as Ellie. How old is Ellie now?
ArbitrLikvidat [17]

Answer:

<u>2 years old</u>

Step-by-step explanation:

Let Ellie's age ⇒⇒⇒ x

And Genya's age ⇒⇒⇒ y

∵ The sum of Ellie's age and Genya's age is 60

∴ x + y = 60 ⇒ (1)

∵ In six years, Genya will be eight times as old as Ellie

∴ (y + 6) = 8 (x+6)

∴ y + 6 = 8x + 48       subtract 6 from both sides

∴ y = 8x + 42 ⇒ (2)

By substituting from 2 at 1 with the value of y

∴ x + (8x + 42) = 60

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∴ x = 18/9 = 2

∴ y = 60 - x = 58

So, Ellie's age now = 2 years old

And Genya's age = 58 years old

6 0
3 years ago
To make the same totem pole with wood that costs y dollars Ronald would have to spend a total of $35.19. Explain which property
nikitadnepr [17]

Answer:

Part 1) Subtraction Property of Equality

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Step-by-step explanation:

we know that

The<u><em> subtraction property of equality</em></u> tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same

so

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10.50+y=35.19

Solve for y

Applying Subtraction Property of Equality

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10.50+y-10.50=35.19-10.50

y=\$24.69

Remember that this property can be used , because addition and subtraction have inverse relationships.

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Step-by-step explanation:

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