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sp2606 [1]
2 years ago
10

Convert the following repeating decimal into a fraction. * 0.497

Mathematics
1 answer:
oksian1 [2.3K]2 years ago
4 0

Answer:

497/1000

Step-by-step explanation:

sorry but that's as simplified as it gets

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If the coordinates of the endpoints of a diameter of the circle are​ known, the equation of a circle can be found.​ First, find
Evgesh-ka [11]

Answer:

The equation of the circle is (x+3)^2+(y-5)^2 = 17

Step-by-step explanation:

The complete question is

If the coordinates of the endpoints of a diameter of the circle are​ known, the equation of a circle can be found.​ First, find the midpoint of the​ diameter, which is the center of the circle. Then find the​ radius, which is the distance from the center to either endpoint of the diameter. Finally use the​ center-radius form to find the equation.

Find the center-radius  form of the circle having the points (1,4) and (-7,6) as the endpoints of a diameter.

Consider that, if both points are the endpoints of a diameter, the center of the circle is the point that is exactly in the middle of the two points (that is, the point whose distance to each point is equal). Given points (a,b) and (c,d), by using the distance formula, you can check that the middle point is the average of the coordinates. Hence, the center of the circle is given by

(\frac{1-7}{2}, \frac{4+6}{2}) = (-3,5).

We will find the radius. Recall that the radius of the circle is the distance from one point of the circle to the center. Recall that the distance between points (a,b) and (c,d) is given by \sqrt[]{(a-c)^2+(b-d)^2}. So, let us use (1,4) to calculate the radius.

r = \sqrt[]{(1-(-3))^2+(4-5)^2} = \sqrt[]{17}.

REcall that given a point (x_0,y_0). The equation of a circle centered at the point (x_0,y_0) is

(x-x_0)^2+(y-y_0)^2 = r^2

In our case, (x_0,y_0)=(-3,5) and r=\sqrt[]{17}. Then, the equation is

(x-(-3))^2+(y-5)^2 = (x+3)^2+(y-5)^2 = 17

4 0
3 years ago
Multiply:<br> x (x^2+2x+4) and -2 (x^2+2x+4)<br><br> Combine like terms.<br><br> Final Answer:
natulia [17]

Answer:

x^3-8

Step-by-step explanation:

x^3+2x^2+4x + -2x^2-4x-8

+2x^2 and -2x^2 cancel out

+4x and -4x cancel out

5 0
3 years ago
He sum of the interior angles, s, in an n-sided polygon can be determined using the formula s = 180(n 2), where n is the number
Evgesh-ka [11]

Answer:

9

Step-by-step explanation:

Equation

Sum = s  = 180*(n - 2)

Solution

1260 = 180*(n - 2)             Divide by 180

1260 / 180 = 180 * (n -2 ) / 180

7 = n - 2                             Add 2 to both sides

9 = n            

Answer

The polygon has 9 sides.

4 0
3 years ago
Can you help with this task please? I don't understand.
dezoksy [38]

Answer:

nota entonces jwbsbsbwhe de un 2

8 0
3 years ago
What is 55x690-20+438x129=? <br> I will give brainliest.
frosja888 [35]

Answer:

don't know it sorry about tht

7 0
3 years ago
Read 2 more answers
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