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jarptica [38.1K]
3 years ago
11

The decimal form of 1/3 is a repeating decimal. Are all the multiples of 1/3 also repeating decimals? Explain.

Mathematics
1 answer:
ELEN [110]3 years ago
7 0

Answer:

No.

Step-by-step explanation:

1=3*1/3

2=6*1/3

3=9*1/3

......

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AC is only perpendicular to EF if angle ADE is 90 degrees

(angle ADE) + (angle DAE) + (angle AED) = 180
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Triangle AED is acute (all 3 angles are less than 90 degrees)

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-------------------------------------------------------------

Problem 2)

a) The center is (2,-3) 

The center is (h,k) and we can see that h = 2 and k = -3. It might help to write (x-2)^2+(y+3)^2 = 9 into (x-2)^2+(y-(-3))^2 = 3^3 then compare it to (x-h)^2 + (y-k)^2 = r^2

---------------------

b) The radius is 3 and the diameter is 6

From part a), we have (x-2)^2+(y-(-3))^2 = 3^3 matching (x-h)^2 + (y-k)^2 = r^2

where
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---------------------

c) The graph is shown in the image attachment. It is a circle with center point C = (2,-3) and radius r = 3.

Some points on the circle are

A = (2, 0)
B = (5, -3)
D = (2, -6)
E = (-1, -3)

Note how the distance from the center C to some point on the circle, say point B, is 3 units. In other words segment BC = 3.

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