We are given with a equation of Circle and we need to find it's radius and it's equation in standard form . But , let's recall , the standard equation of a circle is where <em>(h,k)</em> is the centre of the circle and radius is <em>r</em> . Proceeding further ;
Collecting <em>x</em> terms , y terms and transposing the constant to RHS ;
Now , as in standard equation their is a whole square , so we need to develop a whole square in LHS , for which we will use completing the square method , as coefficient of x² and y² is 1 , so adding 121 and 36 to LHS and RHS .
On comparing this with the standard equation , we got our centre at <em>(-11,-6)</em> and radius is <em>18 units </em>
Answer:
B. Brand B
Step-by-step explanation:
We can see from the table above that the experimental probability of returns of Brand B is the highest, therefore it has the highest likelihood of being returned.
The store should consider eliminating Brand B.
Answer:
sinC =
Step-by-step explanation:
We require to find the side DE before finding sinC
Using Pythagoras' identity in the right triangle
DE² + CE² = CD²
DE² + 5² = ( )²
DE² + 25 = 41 ( subtract 25 from both sides )
DE² = 16 ( take the square root of both sides )
DE = = 4 , then
sinC = = = , rationalise the denominator
sinC = × =
Write equations for both companies:
Company A = 80 + 0.30x
Company B = 20 + 0.50x
X = number of miles.
Set the equations to equal and solve for x:
80 + 0.30x = 20 + 0.50x
Subtract 0.30x from both sides:
80 = 20 + 0.20x
Subtract 20 from both sides:
60 = 0.20x
Divide both sides by 0.20:
x = 60 / 0.20
x = 300
The answer is 300 miles.
Get y by itself. Subtract 44 from both sides. Then you get the equation -4y=20x-44. Then divide by -4 to both sides to get y=-5x+11. Y=-5x+11 is correct. Hope this helps! ;)