simplify : the exact value of sin 240
Explanation: sin(240)=sin(60+180)=-sin60
Final answer: the required vaalue of the sin 240 is -0.87
Given the data set for the height and shoe size of every student in a math class, hypothesize a relationship between the variabl
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Answer:
see explanation
Step-by-step explanation:
The translation represented by
interprets as a shift of 1 unit to the right ( add 1 to x- coordinate ) and a
shift of 4 units down ( subtract 4 from the y- coordinate ), then
(1, 4 ) → (1 + 1, 4 - 4 ) → (2, 0 )
(4, 4 ) → (4 + 1, 4 - 4 ) → (5, 0 )
(6, 2 ) → (6 + 1, 2 - 4 ) → (7, - 2 )
(1, 2 ) → (1 + 1, 2 - 4 ) → (2, - 2 )
Given:
The center of the circle = (-2,1).
Circle passes through the point (-5,3).
To find:
The equation of the circle.
Solution:
Radius is the distance between the center of the circle and any point on the circle. So, radius of the circle is the distance between the points (-2,1) and (-5,3).
On further simplification, we get
The standard form of a circle is:
Where, (h,k) is the center of the circle and r is the radius of the circle.
Substitute h=-2, k=1 and .
Therefore, the equation of the circle is .