Which equation represents the general form of a circle with a center at (-2,-3) and a diameter of 8 units
2 answers:
Answer:
Equation of circle is (x + 2) ²+ ( y + 3)² = 4².
Step-by-step explanation:
Given : a circle with a center at (-2,-3) and a diameter of 8 units.
To find : Which equation represents the general form of a circle .
Solution : We have given center at (-2,-3) and a diameter of 8 units.
Radius = .
Radius = .
Radius = 4 units.
Standard form of circle is (x -h) ²+ ( y -k)² = r².
Where, ( h, k) is center , r = radius .
Plug center ( -2 ,-3) and r = 4 .
(x - (-2)) ²+ ( y - (-3))² = 4².
(x + 2) ²+ ( y + 3)² = 4².
Therefore, Equation of circle is (x + 2) ²+ ( y + 3)² = 4².
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Answer:
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Step-by-step explanation:
Step one:
given the expression for the profit made as
we are told that p is the number of pens, hence for p= 48 by substituting into the expression we can find the profit as
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Answer:
x = 8, y = 4
Step-by-step explanation:
To find x use the sine ratio in the right triangle and the exact value
sin60° = , thus
sin60° = =
=
( cross- multiply )
x × = 8
( divide both sides by
)
x = 8
--------------------------------------------------------------
To find y use the tangent ratio in the right triangle and the exact value
tan60° = , thus
tan60° = =
=
( multiply both sides by y )
4 = y ×
( divide both sides by
)
y = 4