The equation which represents the circle is x²+(y-3)²=36. The correct option is A.
Given that the circle have diameter 12 units and a center that lies on the y-axis.
A circle is a closed curve drawn from a fixed point called the center, and all points on the curve are equidistant from the midpoint of the center.
The standard form for finding the equation of a circle is expressed in the form is
(x-a)²+(y-b)²=r² ......(1)
Where (a,b) is the center and r is the radius.
Given that the diameter is 12.
So, the radius is 12/2=6
It is also given that center lies on the y-axis therefore the center will be (0,3).
Now, we will substitute these values in equation (1), we get
(x-0)²+(y-3)²=6²
x²+(y-3)²=36
Hence, the equation which represents the circle with diameter 12 units and center lies on the y-axis is x²+(y-3)²=36.
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Answer:
a₁ = 18
Step-by-step explanation:
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₃ = 10 and a₅₁ = - 182, then
a₁ + 2d = 10 → (1)
a₁ + 50d = - 182 → (2)
Subtract (1) from (2) term by term to eliminate a₁
48d = - 192 ( divide both sides by 48 )
d = - 4
Substitute d = - 4 into (1) and evaluate for a₁
a₁ + 2(- 4) = 10
a₁ - 8 = 10 ( add 8 to both sides )
a₁ = 18
the the negative angle is -(2π-π/4)= -\frac{7 \pi }{4}
Answer:
The angles are 2x= 2x18°
=36° and 3x=3×18
=54°
Step-by-step explanation:
It is given that two complementary angles are in the ratio 2:3.
Consider 2x and 3x as the angles.
We know that, if two angles are complementary, then their sum is 90° .
Then, 2x+3x=90°
⟹ 5x=90°
⟹ x= 90/5
x=18°
Here, the angles will be 2x=2×18
°=36°
and 3x=3×18° =54 °
Hope this helps.
If the perimeter is 44 the the diagonal is 22
