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2 years ago

Two circles are concentric if they have the same center.

1 answer:

8 0

The equation of the circle is (x - 4)² + (y - 6)² = 16. The correct option is the second option (x - 4)² + (y - 6)² = 16

<h3>Equation of a circle </h3>

From the question, we are to determine the equation of the circle

The equation of circle is given by

(x - h)² + (y - k)² = r²

Where (h, k) is the center

and r is the radius

From the given information,

The two circles are concentric

∴ (h , k) = (4, 6)

But the other circle has a radius that is twice as large

∴ r = 2 × 2

r = 4

Thus,

The equation of the circle becomes

(x - 4)² + (y - 6)² = 4²

(x - 4)² + (y - 6)² = 16

Hence, the equation which represents a circle that is concentric with the circle shown but has a radius that is twice as large is (x - 4)² + (y - 6)² = 16. The correct option is the second option (x - 4)² + (y - 6)² = 16

Learn more on Equation of a circle here: brainly.com/question/1506955

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You might be interested in

Solve the proportion x+1/x-1 = 14/20

polet [3.4K]

Cross multiply
20(x+1)=14(x-1)
20x+20=14x-14
Subtract 14x on each side giving you
6x+20=-14
Subtract 20 on each side giving you
6x=-34
x=-34/6. Simplifying that you get x=-17/3. I hope this helps!!!

4 0

3 years ago

Read 2 more answers

Crazy question if you answer all of the steps you get 15 points

viktelen [127]

AC = 32

2x + 6x + 8 = 32 (plug in into equation)

8x + 8 = 32 (simplify)

8x + 8 (- 8) = 32 (-8) (subtraction of equality,)
(what you do to one side, you do to the other)
8x/8 = 24/8 (division of equality)

x = 3 (answer)

hope this helps

5 0

3 years ago

HELP!

Ber [7]

Answer:

U think the answer is C.

5 0

3 years ago

Read 2 more answers

6. Two points in the plane, ????(19,4) and ????(19,−6), represent the endpoints of the diameter of a circle.

dusya [7]

Answer:

Radius = 5

center is (19,-1)

$(x-19)^2(y+1)^2= 25$

Step-by-step explanation:

Two points in the plane, (19,4) and (19,−6), represent the endpoints of the diameter of a circle.

Distance between the points is calculated using formula

$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(19-19\right)^2+\left(-6-4\right)^2}=10$

diameter = 10

radius = diameter divide by 2

Radius = 5

midpoint is the center of the circle

$\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)$

$\left(\frac{19+19}{2},\:\frac{-6+4}{2}\right)$

(19,-1)

Equation of the circle

$(x-h)^2(y-k)^2= r^2$

h,k is the center and r is the radius

h=19 and k=-1 , r=5

$(x-19)^2(y+1)^2= 25$

8 0

3 years ago

What percentage of babies born in the United States are classified as having a low birthweight (<2500g)? explain how you got

lawyer [7]

Answer:

2.28% of babies born in the United States having a low birth weight.

Step-by-step explanation:

<u>The complete question is</u>: In the United States, birth weights of newborn babies are approximately normally distributed with a mean of μ = 3,500 g and a standard deviation of σ = 500 g. What percent of babies born in the United States are classified as having a low birth weight (< 2,500 g)? Explain how you got your answer.

We are given that in the United States, birth weights of newborn babies are approximately normally distributed with a mean of μ = 3,500 g and a standard deviation of σ = 500 g.

Let X = <u><em>birth weights of newborn babies</em></u>

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean = 3,500 g

$\sigma$ = standard deviation = 500 g

So, X ~ N( $\mu=3500, \sigma^{2} = 500$ )

Now, the percent of babies born in the United States having a low birth weight is given by = P(X < 2500 mg)

P(X < 2500 mg) = P( $\frac{X-\mu}{\sigma}$ < $\frac{2500-3500}{500}$ ) = P(Z < -2) = 1 - P(Z $\leq$ 2)

= 1 - 0.97725 = 0.02275 or 2.28%

The above probability is calculated by looking at the value of x = 2 in the z table which has an area of 0.97725.

4 0

3 years ago