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dolphi86 [110]
3 years ago
7

A circle has its center at (1, 4) and a radius of 2 units. What is the equation of the circle? (1 point) (x + 2)2 + (y + 4)2 = 2

(x − 1)2 + (y − 4)2 = 4 (x + 1)2 + (y − 4)2 = 4 (x − 1)2 + (y − 4)2 = 2
Mathematics
2 answers:
Fed [463]3 years ago
8 0

Answer:

The answer is the second option

(x-1)^{2}+(y-4)^{2}= 4

Step-by-step explanation:

The general equation of a circle is:

(x-h)^{2}+(y-k)^{2}= r^{2}

in this equation (h,k) is the center of the circle and r is the radius, so if the center is in (1,4) and the radius is 2, the values of the constants are:

h = 1

k = 4

r = 2

And the formula for this circle is:

(x-1)^{2}+(y-4)^{2}= 2^{2}

(x-1)^{2}+(y-4)^{2}= 4

yawa3891 [41]3 years ago
5 0

Answer:

3rd one. The general form of a circle is set equal to the radius squared. So right side is 4 then plug in values until true.

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reflection over the x-axis and shifted 7 units down

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Which is the graph of a logarithmic function?
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Answer:

Answer is the first choice.

Step-by-step explanation:

A logarithmic graph is the opposite of an exponential growth graph, so the first option is the only one that fits. Just took the test and the first choice is correct.

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3 0
2 years ago
4sinθ – 1 = - 3 for 0<θ< 360
EastWind [94]

Answer:

\theta = 210^\circ or \theta = 330^\circ

Step-by-step explanation:

4 \sin \theta - 1 = -3

4 \sin \theta = -2

\sin \theta = \dfrac{-2}{4}

\sin \theta = -0.5

For sin θ = 0.5, the reference angle is θ = 30 deg.

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7 0
3 years ago
mary has 3 blouses (red, black, and white), 2 pairs of pants (black and blue), and 4 pairs of shoes ( red, blue, black, and whit
Lera25 [3.4K]

The probability that Mary's outfit will be black blouse, black pants, black shoes is 1/24 if the Mary has 3 blouses, 2 pairs of pants, and 4 pairs of shoes.

<h3>What is probability?</h3>

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

We have:

Mary has 3 blouses (red, black, and white), 2 pairs of pants (black and blue), and 4 pairs of shoes (red, blue, black, and white).

P(black blouse) = 1/3

P(black pants) = 1/2

P(black shoes) = 1/4

Probability that Mary's outfit will be black blouse, black pants, black shoes:

= (1/3)(1/2)(1/4)

= 1/24

Thus, the probability that Mary's outfit will be black blouse, black pants, black shoes is 1/24 if the Mary has 3 blouses, 2 pairs of pants, and 4 pairs of shoes.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

4 0
2 years ago
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