18) If the straight line y=m X touches the circle (x - 2)^2 + (y - 6)^2 = 4, then m= ......
1 answer:
Answer:
(8) d. 4/3 (9) a. (X - 4)^2 + (y-4)^2= 25
Step-by-step explanation:
8. CENTER OF CIRCLE: O (2,6)
radius of circle : r = √4 = 2
if m = 4/3 line: y = 4/3 x
perpendicular distance (d) from center of circle to line y = 4/3 x is
d = |((4/3 x 2) + (-1) x 6)| / √((4/3)² + (-1)²) = |(-10/3)| / √(25/9) = (10/3) / (5/3) = 2
d = r means line touch with circle
9. center of circle is the intersection of the diagonals of rectangle (4,4) and its radius is 5 (illustrated)
the equation of circle: (X - 4)^2 + (y-4)^2= 25
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Step-by-step explanation:
HERE,
redius of a circle (r)=14 meters.
we know that,
<u>According</u><u> </u><u>to</u><u> </u><u>the question</u><u>, </u>
circle circumference=
so, the circumference of that circle is <em><u>8</u></em><em><u>8</u></em><em><u> </u></em><em><u>meters</u></em><em><u>.</u></em>
Each semiannual payment is (1/2)*.0545*$1000 = $27.25. There are 2*30 = 60 such payments in 30 years. After 6 payments, there will be 54 left.
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a) The value of Tristan's bond is $1238.08
b) The value of Tristan's bond is $926.91