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Brilliant_brown [7]
3 years ago
12

Point A(3,2) is on a circle whose center is C(−2,3). What is the radius of the circle?

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
6 0

Answer:

The radius of the circle is √26.

Step-by-step explanation:

Since point A is on the circle, the distance between that point and the center of the circle is equal to the radius.

To find the distance between two points, the following equation should be used:

x^{2} =(x_{A}- x_{C}) ^{2} + (y_{A}- y_{C}) ^{2}

Replacing the numeric values:

r^{2} =(3- (-2)) ^{2} + (2-3) ^{2}\\r^{2} =(5) ^{2} + (-1) ^{2}\\r=\sqrt{26}

The radius of the circle is √26.

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FromTheMoon [43]

Option C: \frac{4}{5} is the slope of the line

Explanation:

The line passes through the points (3,-1) and (-2,-5)

We need to find the slope of the line.

The slope can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Where the coordinates (x_1,y_1) and (x_2,y_2) are (3,-1) and (-2,-5)

Let us substitute the points in the formula

Thus, we have,

m=\frac{-5-(-1)}{-2-3}

Simplifying, we get,

m=\frac{-5+1}{-2-3}

Adding the numerator and denominator, we have,

m=\frac{-4}{-5}

Cancelling the negative terms, we get,

m=\frac{4}{5}

Thus, the slope of the line is m=\frac{4}{5}

Therefore, Option C is the correct answer.

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3 years ago
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Rounded to the nearest dime ,what is the greatest amount of money that rounds to $105.40?What is the least amount of money that
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Hope this helps.

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