Answer:
Step-by-step explanation:
circle A is
x²+y²+6x-4y-12=0
x²+6x +y²-4y =12
think (a+b)² = a²+2ab+b² we have a=x, b= 3
and (a-b)² = a²-2ab+b² so we have a=y, b=2
x²+6x +9 +y²-4y+4 = 12-9-4
(x+3)² +(y-2)²= -1
compare to the general equation of a circle (x-h)²+(y-k)² =r²
the center is at (-3,2) and the radius is √-1 =i
Circle B has center (0, -4) and radius 3 so the equation is
(x-0)²+(y-(-4))² =3²
x² +(y+4)² = 9
point (√8, -3) is on the circle if it verifies the equation
√8² +(-3+4)² = 9
8+1 =9 true so the point is on the circle
Circle A and circle B are not similar because they do not have the same center and radius
Yes, because no matter how many 0's are after the decimal, the number stays the same.
The way to distribute the eggs at the lowest cost would be using 5 cartons of 12 eggs and 1 carton of 6 eggs.
Since Timmy is helping his grandpa on his chicken farm, and he has to pack 66 eggs into cartons, minimizing the packing cost, and he can use 12-egg cartons and 6-egg cartons, and two 12-egg cartons cost as much as three 6-egg cartons, to determine how many cartons of each should be used, the following calculation must be performed:
- 2 x 12 = 3 x 6
- 24 = 18
- Thus, assuming as an example that a total of 2 cartons of 12 eggs and 3 cartons of 6 eggs cost $ 3, the value of each carton would be the following:
- 3/3 = 1
- 3/2 = 1.5
- 66/12 = 5.5
- 5 x 1.5 + 1 x 1 = X
- 7.5 + 1 = X
- 8.5 = X
In this way, the way to distribute the eggs at the lowest cost would be using 5 cartons of 12 eggs and 1 carton of 6 eggs.
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Answer:
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
So we started off with the equation:
And we subtracted x from both sides to acquire:
Now, this is essentially slope-intercept form. Recall that the slope-intercept form is:
Where m is the slope and b is the y-intercept.
If we rearrange our equation:
And put some parentheses:
We can see that this is indeed slope-intercept form.
And we can see that m is -1 and b is 2.
In other words, the slope is -1 and the y-intercept is 2.
