The required point that is common for all lines of symmetry for a given circle is the center of the circle.
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.
Here,
For the given circle, Each and every line of symmetry in the circle is termed to be diameter and each diameter of the circle passes through the center.
Thus, the required point that is common for all lines of symmetry for a given circle is the center of the circle.
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Answer:
The answer is 19%
Step-by-step explanation:
In order to determine the snack bar with lowest calories from fat, we have to express the three values in a same notation way.
First value is expressed in fraction, second one in decimal and the last one in percentage.
Which one is the easiest way? The easiest way is in percentage notation because we only have to multiply the value by 100.
So, the values and
will be multiplying by 100. The last value is already in percentage notation.
Then:
%
%
%
Finally, the snack bar, that it contains the least amount of calories from fat, is the last one with 19%.
To solve for x, you need to isolate/get x by itself in the equation:
Square ² both sides to get rid of the square root √
x - 2 = 0 Add 2 on both sides
x - 2 + 2 = 0 + 2
x = 2
Answer:
p(x) = 0.1x + 1
Step-by-step explanation:
Pressure at sea level = 1 atmosphere
Depth dove by Sydney = 23 meters
Pressure at a depth of 23 meters = 3.3 atmospheres
So,
Pressure at a depth of 23 meters = Pressure at sea level + k * Depth dove by Sydney
where k is the diving rate constant
=> 3.3 = 1 + k(23)
=> 3.3 = 23k + 1
Subtracting 1 from both the sides, we get
3.3 - 1 = 23k + 1 -1
Cancelling out the +1 and -1 from the right side, we get
2.3 = 23k
=> 23k = 2.3
Dividing both sides by 23, we get
Cancelling out the 23's from the top and bottom of the left side, we have
k = 0.1
Plugging in the value of k in the equation, we get
Pressure at a particular depth = Pressure at sea level + k * Depth dove by Sydney
p(x) = 1 + k(x) [where p(x) is the pressure at a depth x]
=> p(x) = 1 + 0.1(x)
=> p(x) = 0.1x + 1
Answer:
0.1x + 1
Step-by-step explanation: