Answer: (x + 3)^2 + (y - 4)^2 = 49
Step-by-step explanation:
The equation of a circle given the center and radius: (x - h)^2 + (y - k)^2 = r^2
Given: center (-3,4) ; h = -3 and k = 4
diameter = 14
To find the radius: divide the diameter by 2 = 14/2 = 7 = r
Center: (-3,4) and radius: 7
Equation of a circle: (x - h)^2 + (y - k) ^2 = r^2
Substitute h = -3, k = 4, r = 7
(x - (-3))^2 + (y - 4)^2 = 7^2
Answer:
Equation of the circle: (x + 3)^2 + (y - 4)^2 = 49
Answer:
Step-by-step explanation:
Let 
be the number of bags with 8 onions and let 
be the number of bags with 3 onions. We have the following system of equations:
Subtracting from both sides of the first equation, we get 
. Substitute this into the second equation:
Therefore, the number of 8-onion bags is:
Thus, the chef got 4 8-onion bags and 3 3-onion bags.
Answer:
Step-by-step explanation:
b(a + 1) + a = b*a + b + a = ab + b + a
1) b(2a +1 ) = b*2a + b*1 = 2ab + b Not equivalent.
2)a + (a +1)*b = a + ab+ b Equivalent
3) (a +1)(b+ a) = a*(b +a) + 1*(b+a) = ab+ a² +b + a Not equivalent.
4) (a + 1)b + a = ab+ b + a Equivalent
5) a + b(a+1) = a +ab + b Equivalent
6) a + (a +1) + b = a + a + 1 + b = 2a + 1 +b Not equivalent.
7) a(b +1) + b = ab + a + b Equivalent
Answer:
y=-4x-5
Step-by-step explanation:
The slope of the line is - 4, the equation of line is y=-4x-5
