Coordinates of center and radius of circle is 
.
<u>Step-by-step explanation:</u>
Here we have , The equation of a circle is given below.
(2 – 13.4)2 + (y + 2.6)2 = 100 or , 
We know that , Equation of circle is given by :
⇒ 
...........(1)
where (h,k) are the coordinates of center of circle and r is the radius of circle . Let's simplify given equation of circle in question ;
⇒
⇒ 
⇒ 
Comparing this equation to (1) we get :
Therefore , Coordinates of center and radius of circle is .
The sides of the rectangla are its length and width. We know the length is 5m longer than the width. Since we dont know the width, we can say that the width is x and the length is x+5.
The perimeter, as we know, is equal to the sum of all sides. We have two “length” sides and two “width” sides, so our equation is:
x + x + x+5 + x+5 = 46
Lets add all of this:
4x + 10 = 46
4x = 46-10
4x = 36
x = 36/4
x = 9
So our width is 9m and the length is 14m.
The area of a rectangle is width times length, so:
9*14=126m^2.
Let C be the amount of compost
T be the amount of topsoil
Each compost cost = $25
Cost of C compost = 25C
Each topsoil cost = $15
Cost of T topsoil = 15T
Amount of compost + amount of topsoil = 10
C + T = 10 -------> Equation 1
cost of C compost + cost of T topsoil = 180
25C + 15T = 180 --------> equation 2
Solve the first equation for C
C + T = 10
C = 10 - T
Now plug it in second equation
25C + 15T = 180
25 ( 10 - T) +15T = 180
250 - 25T + 15T = 180 (combine like terms)
250 - 10 T = 180 (Subtract 250 on both sides)
-10T = 180 - 250
-10T = -70 ( divide by -10 on both sides)
T = 7
She purchased 7 cubic yards of topsoil .
Answer:
41 ≤ x
x ≤ 45
Step-by-step explanation:
The unknown number is X;
x/6+2=9;
X/6=7;
X=42;
The answer is 42
