Answer:
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Step-by-step explanation:
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Answer:
15 meters
Step-by-step explanation:
The diagram of the problem is attached below in the first image.
Chords KM and LN (which is the diameter) intersect at X.
Theorem: If the diameter is perpendicular to a chord, it bisects the chord.
Therefore:
LN divides KM into equal parts of 6 meters,
Applying the theorem of intersecting chords:
KX*XM = LX*XN
6*6=3*XN
3*XN=36
XN=12
Next, we find the length of the diameter LN
LN=LX+XN
=3+12
=15 meters
The diameter of the completed circle is 15 meters.
Answer:
The new points to the triangle will be:
![A(1,4)\\ B(1,1)\\ C(-1,1)](https://tex.z-dn.net/?f=A%281%2C4%29%5C%5C%20B%281%2C1%29%5C%5C%20C%28-1%2C1%29)
Step-by-step explanation:
Because the reflection point is at
, all x values will subtract their distances from
to get their new values. The y values remain the same.
The starting values are:
![A(3,4)\\ B(3,1)\\ C(5 ,1)](https://tex.z-dn.net/?f=A%283%2C4%29%5C%5C%20B%283%2C1%29%5C%5C%20C%285%20%2C1%29)
Point
is 1 unit away from
, so we'll subtract 1 from 2 to get the new x value:
, so
.
Point
is also 1 unit away from
, so we'll subtract 1 from 2 to get the new x value:
, so
.
Point
is 3 units away from
, so we'll subtract 3 from 2 to get the new x value:
, so
.
Answer: f(x) = 64 * (3/4)^x
Step-by-step explanation: f(x)=ab^x
When x=0 f(x) = 64
64 = ab^0
b^0 =1 so
64 =a
f(x)=64 b^x
When x=1 f(x) = 48
48 = 64 *b
Divide by 64
48/64 =b
6/8 =b
3/4 =b
f(x) = 64 * (3/4)^x
Either mean or median, they are both 14 in this data set.