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ale4655 [162]
3 years ago
15

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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Find the center and radius of the circle with the given equation. Then select the correct graph of the equation.
likoan [24]

Answer:

Step-by-step explanation:

In order to find the center and the radius of this circle, you have to complete the square on it. And only for the x-terms, because the y term is squared and there is no other y term. We'll get to that in a second.

Take half the linear x-term, square it and add it to both sides. Our linear term is 10. Half of 10 is 5, and 5 squared is 25. We add 25 to both sides:

The reason we do this is to create a perfect square binomial inside that set of parenthesis. Simplifying the right side as well gives us:

This tells us that the center is (-5, 0). Remember when I said we would get back to the y terms? Because there was only a y-squared and no other y terms, that is the same as writing the equation as

The radius is the square root of the constant. So the radius is 6.

D is the graph you want.

3 0
3 years ago
An ice tray holds 12 ice cubes. If the total volume of the ice in the
AVprozaik [17]

Answer:

the cubes are 1 in on all sides

but...

since there's gaps its more likely that there a 1/2 in or 3/4 in

Step-by-step explanation:

12/12=1

3 0
3 years ago
Read 2 more answers
How do you divide fractions?
Kaylis [27]
First flip the 2nd number. (denominator becomes numerator and vice versa) then multiply the numerators and multiply the denominators. that's the answer.
3 0
3 years ago
Evaluate the function for x = 3.5 f(x)=[2.5x]<br><br> a 8.75<br><br> b 8<br><br> c 9
RSB [31]

Answer:

The correct option is a. 8.75.

Step-by-step explanation:

Given:

f(x)=[2.5x] .............................. (1)

Where;

x = 3.5

The function can be evaluated by substituting x = 3.5 into equation (1), we have:

f(3.5) = 2.5 * 3.5

f(3.5) = 8.75

This implies the value of the function is 8.75. Therefore, the correct option is a. 8.75.

6 0
3 years ago
Match the following equation to the correct situation.
IgorLugansk [536]

Answer:

The correct answer is option B and D.

Step-by-step explanation:

A. Shawn owed 40% of his tuition bill, b, after paying $6.00

=40%of (b-6)

B. The amount donated to the school was 40% more that $6.00.

Amount donated to the school = b

b=6+40% of b

C. The cost for a coat was 40% of the sum of b and $6.00.

= 40%(b+6)

D. Summer paid $6.00 more than 40% of b.

Amount by summer = x

= 40%b+6

3 0
3 years ago
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