Answer:
1.
centre(h,k)=(-13,9)
radius (r)=6
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x+13)²+(y-9)²=6²
x²+26x+169+y²-18y+81=36
x²+y²+26x-18y+169+81-36=0
x²+y²+26x-18y +214=0
is a required equation of the circle.
2.
centre(h,k)=(1,-1)
radius (r)=11
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x-1)²+(y+1)²=11²
x²-2x+1+y²+2y+1=121
x²+y²-2x+2y=121-2
x²+y²-2x+2y=119
is a required equation of the circle.
Answer:
90%
Step-by-step explanation:
Number of beings that preferred dubble juice to all the other juices = 36
Number of beings surveyed = x
The percentage of people that preferred dubble juice is calculated as:
(Number of beings who preferred dubble juice/Total number of beings surveyed) × 100
36/40 × 100
= 90%
90% of beings preferred dubble juice.
Subtraction
multiplication
yayyyyyyyyyyy
Answer:
The height of the given rectangular prism is 5cm.
Step-by-step explanation:
Given that the volume of the rectangular prism is 
And length is
and width is 
That is V=5cm^3[/tex] ,
and 
We have the volume of the rectangular prism V=lwh cubic centimeter

Substituting the values in above formula




Rewritting as below

Therefore the height is 5cm
5/3 is as simplified as it gets :)