<u>Answer</u>:
The correct option is C : x² + (y +3)² = 9 .
<u>Step-by-step explanation:</u>
We know that the general equation for a circle is ( x - h )² + ( y -k )²= r², Where,
- r is the radius.
- (h , k) is the center.
Let the point be ( 0 , -y) , since it is on negative y axis . And the circle passes through the origin that is (0,0) . Hence the center will be 3 units down the y - axis that is ( 0 , -3) .Hence h will be 0 and y = (-3) .
Now its given that the radius of the circle is 3. So on substituting r = 3 , in standard form we have ,
⇒ ( x -h )² + ( y - k )²= r²
⇒ ( x - 0)² + { y - (-3) }² = 3²
⇒ x² + ( y + 3) ² = 3²
⇒ x² + ( y + 3)² = 9
<h3>
<u>Hence the correct option is C [ x² + ( y+3)² = 9 ] .</u></h3>
• Note that I have attached the graph of the same .
Answer:
The city sale tax rate is 0.016
Step-by-step explanation:
Hi, to calculate the city tax rate we simply have to multiply the state sales tax rate (0.08) by 0.2 (because city sales tax rate is 0.2 times the state sales tax rate.)
Mathematically speaking:
0.08 x 0.2 = 0.016
So, the city sale tax rate is 0.016
Feel free to ask for more if needed or if you did not understand something.
Answer:
Inequality notation x ≤5
Step-by-step explanation:
Answer:C) 36:1
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as πr^2h
Where
h represents the height of the cylinder.
r represents the radius of the cylinder.
π is a constant.
These two right circular cylinders have the same height, 45 centimeters.
The radius of the smaller cylinder is 22 centimeters and the radius of the larger cylinder is 6 times greater than that of the smaller cylinder. This means that the radius of the larger cylinder would be
6 × 22 = 132 centimeters
Volume of the larger cylinder would be
π × 132^2 × 45 = π × 17424 × 45
Volume of the smaller cylinder would be
π × 484× 45
the ratio of the volume of the larger cylinder to the volume of the smaller cylinder would be
(π × 17424 × 45) / (π × 484× 45)
= 36 : 1