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3 years ago

1. Which of the following is the equation of a circle with center (a, −b) and radius r?

Mathematics

2 answers:

choli [55]3 years ago

5 0

Answer:

Step-by-step explanation:

Thepotemich [5.8K]3 years ago

4 0

Answer:

1) A

2) D

Step-by-step explanation:

1) The equation of a circle is (x-h)²+(y-k)²=r² where (h,k) is the center and "r" is the radius of the circle. With a center of (a,-b) the equation of the circle is (x-a)²+(y+b)²=r² making A the correct answer.

2) Convert from general form into standard form:

Given: x²+y²-4x-2y+4=1

Rearrange: x²-4x+4+y²-2y=1

Set right side equal to 0: x²-4x+4+y²-2y-1=0

Complete the square: x²-4x+4+y²-2y-1+2=0+2

Evaluate: x²-4x+4+y²-2y+1=2

Condense: (x-2)²+(y-1)²=2

Therefore, the center of the circle is D) (2,1)

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kati45 [8]

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What is 8 3/5 + 4 4/5?

dangina [55]

Answer:

67/5 = 13 2/5

Step-by-step explanation:

Step 1: Define/explain.

An easier way to solve this is by changing the mixed fractions to improper fractions.

To do this, multiply the whole number by the denominator, then add the product to the numerator; the denominator remains the same.

Mixed fraction - a fraction with a whole number.

Improper fraction - a fraction with a numerator larger than the denominator.

Step 2: Solve.

$8\frac{3}{5} =\frac{43}{5}$

$4\frac{4}{5} =\frac{24}{5}$

From here, add as usual.

$\frac{43}{5} +\frac{24}{5} =\frac{67}{5}$

Step 3: Conclude.

You can change the improper fraction to a mixed fraction if you'd like.

To do this, divide the numerator by the denominator.

The amount of times the numerator evenly goes into the denominator is the whole number.

The amount of remaining numbers in the denominator.

The numerator remains the same.

$\frac{67}{5} =13\frac{2}{5}$

I, therefore, believe the answer to this is 13 2/5.

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3 years ago

Please answer this question, 30 points and will give brainliest!

kotykmax [81]

Answer:

∠C = 80 ° ; ∠ T = 40°.

Step-by-step explanation:

Triangle CRS is isosceles because it has two sides of equal length. (CR and CS are radii).

An isosceles triangle has also two equal angles, which means that ∠CRS= ∠CSR.

Therefore, ∠C = 80 ° (180° – 50° - 50°) because the sum of angles in a triangle is 180 degrees.

∠C is the central angle of the arc RS.

∠ T is the inscribed angle of the arc RS.

An inscribed angle is half of a central angle that subtends the same arc on the circle, so the inscribed angle ∠ T is half of the central angle ∠C. Since ∠C = 80 °, we can easily determine the measure of ∠ T:

80° divided by 2 is 40°.

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Step-by-step explanation:

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