Answer:
to serve hot chocolate to 14 people, you need:
7/6 cups boiling water
12.25 cups milk
2 5/8 teaspoons vanilla
7/4 half & half cream
To serve cookies to 14 people you need:
2.4 (rounded) cups flour
7/8 teaspoon baking soda
7/16 teaspoon baking powder
7/8 cup butter
21/16 cups white sugar
Step-by-step explanation:
The regular recipe for hot chocolate serves 4 people. But 14 are being served; 14 is 3.5 times as much as 4, so multiply the measurements by 3.5.
The recipe for cookies makes 16 servings of 3 cookies (4 dozen total), so you must use slightly smaller quantities. 14 is 7/8 as much as 16, so just multiply the measurements by 7/8.
Answer:
x=45
Step-by-step explanation:
This is a triangle so it interior degrees will add up to 180.
W
Since Line AC is tangent to Circle O at point c, Point C measures 90 degrees.
We can find OAC by using the triangle interior theorem,



9^5 is 45
As, 9+9+9+9+9 =45
Answers:
Equation is 
Center is (-1, -2)
Radius = 5
===========================================
Work Shown:

center = (h,k) = (-1,-2)
radius = 5
-----------------------------
Explanation:
I grouped up the x and y terms separately. Then I added 1 to both sides to complete the square for the x terms. I cut the 2 from 2x in half, then squared it to get 1. In the next step, I cut the 4 from 4y in half to get 2, which squares to 4. So that's why I added 4 to both sides to complete the square for the y terms.
Each piece is factored using the perfect squares factoring rule which is a^2+2ab+b^2 = (a+b)^2
The last equation is in the form (x-h)^2 + (y-k)^2 = r^2
We can think of x+1 as x - (-1) to show that h = -1
Similarly, y+2 = y-(-2) = y-k to show that k = -2
The center is (h,k) = (-1,-2)
The radius is r = 5 because r^2 = 5^2 = 25 is on the right hand side in the last equation above.
Answer:
aa.
Step-by-step explanation: