Why are some graphs limited to the first quadrant?
2 answers:
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Given:
The point (7, 4) lies on a circle centered at the origin.
To find:
The equation of the circle and the radius of the circle.
Solution:
Distance formula:
The point (7, 4) lies on a circle centered at the origin. So, the distance between the points (7,4) and (0,0) is equal to the radius of the circle.
The standard form of the circle is
...(i)
Where, (h,k) is the center of the circle and r is the radius of the circle.
Putting h=0, k=0 and in (ii), we get
Therefore, the equation of the circle is and its radius is
.
The amount of heat lost by the water is 1870 calories
Step-by-step explanation:
The amount of heat released by a substance is given by the equation
where
Q is the amount of heat lost
m is the mass of the substance
C is the specific heat capacity of the substance
is its change in temperature
In this problem, we have:
m = 85 g is the mass of water
is the specific heat capacity of water
is the change in temperature of the water
Substituting, we find
Learn more about heat:
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