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3 years ago

Find an equation of the circle that has center (-3,3) and passes through (6,-2)

Mathematics

1 answer:

Hitman42 [59]3 years ago

5 0

Answer:

( x + 3)^2 + ( y - 3)^2 = 106

Step-by-step explanation:

The equation of the circle with a center and a point

( x - a) ^2 + ( y - b) ^2 = r^2

( -3 , 3) - center - (a, b)

a = -3

b = 3

( 6 , -2) - point - ( x, y)

x = 6

y = -2

Step 1: substitute the center into the equation

( x -(-3)^2 + ( y - 3)^2 = r^2

( x + 3)^2 + ( y - 3)^2 = r^2

Step 2: sub the point into the equation

( 6 + 3)^2 + ( -2 - 3)^2 = r^2

9^2 + ( -5)^2 = r^2

81 + 25 = r^2

106 = r^2

Step 3: sub the radius into the equation

( x + 3)^2 + ( y - 3)^2 = 106

The equation of the circle is

( x + 3)^2 + ( y - 3)^2 = 106

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A right triangle and some of its measurements are shown in this diagram.

Daniel [21]

Answer:

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3 years ago

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AnnyKZ [126]

Answer: You would get 1 for the first section

Step-by-step explanation: you square whatever number is the x then you cube the x.

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3 years ago

Ricky has 3/4 of a bag of Skittles. He wants to split the rest between between his 5 friends. What fraction of the bag will each

Wittaler [7]

Answer:

3/20, with the assumptions below.

Explanation:

The question seems incomplete.

In order to show you the procedure, I make some assumptions.

Assuming that Ricky wants to split the full content of the 3/4 of a bag between his 5 friends, to find what fraction of the bag will each friend receive you must divide 3/4 by 5.

The operation is:

$\dfrac{3}{4}\div 5$

Convert the whole number 5 into fraction using 1 as denominator:

$\dfrac{3}{4}\div \dfrac{5}{1}$

Transform the division into multiplication changing the divisor into its reciprocal:

$\dfrac{3}{4}\times \dfrac{1}{5}$

Multiply numerator with numerator and denominator with denominator:

$\dfrac{3\times 1}{4\times 5}=\dfrac{3}{20}\leftarrow answer$

7 0

3 years ago

Ethel Meyer sells wheelchairs. SHE EARNS AN 11 PERCENT COMMISSION ON THEE FIRST $5,000 AN 14 PERCENT ON ALL SALES OVER $5000.HOW

sergeinik [125]

Ok so Ethel starts off with 11% of $5,000 that is $550 of commission
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4 0

3 years ago

What is the solution to x4 - 12x2+10>0

alexira [117]

Answer:

(-√(6-√26) < x < √(6-√26)) ∪ (x < -√(6 +√26)) ∪ (√(6 +√26) < x)

Step-by-step explanation:

Using x^2 = z, the equation can be rewritten as ...

z^2 -12z +10 > 0

(z -6)^2 -26 > 0

|z -6| > √26

This resolves to two equations.

This one ...

x^2 -6 < -√26 . . . . substitute x^2 for z

|x| < √(6-√26) . . . . add 6, take the square root; use √a^2 = |a|

-√(6-√26) < x < √(6-√26)

and this one ...

x^2 -6 > √26

|x| > √(6 +√26)

x < -√(6 +√26) ∪ √(6 +√26) < x

5 0

3 years ago