Answer:
Center: (-5,10)
Radius: 2
Step-by-step explanation:
The equation of the circle in center-radius form is:
Where the point (h,k) is the center of the circle and "r" is the radius.
Subtract 121 from both sides of the equation:
Add 10x to both sides:
Make two groups for variable "x" and variable "y":
Complete the square:
Add 
inside the parentheses of "x".
Add 
inside the parentheses of "y".
Add 
and 
to the right side of the equation.
Then:
Rewriting, you get that the equation of the circle in center-radius form is:
You can observe that the radius of the circle is:
And the center is:
Since it is a slope, the equation of a slope is y=Mx+b. So you want to get b to that format. To do this, you need to isolate the y on the left. To do this, you simply add 2x to both sides. Your final answer will be y=2x+7. Hope this helps!
Answer:
144
Step-by-step explanation:
-12 x -3 = 36
4 x 36 = 144
Answer:
92 treat bags
Step-by-step explanation:
In order to calculate the total amount of treat bags that Ms. Yung can make we would simply need to divide the weight of each bag's candy by the total weight of candy that Ms. Yung has. This would evenly divide the total amount of candy into as many bags as possible.
18.5 lbs. / 0.2lbs = 92.5 bags
Therefore, if we divide evenly Ms. Yung would be able to make a total of 92 treat bags because even though she has for half a bag left it would not be an entire treat bag like she wants.
When an absolute value is changed in the horizontal, <em>the units in change are inside the "bars"</em>, and are as follows: <em>left = positive, right = negative</em>.
Therefore, the equation is y = | x - 6.5 |.
