Answer:
12 = 5k/2
24 = 5k
Step-by-step explanation:
Raul is making chocolate chip pancakes.
The number of chocolate chips he uses is proportional to how many ounces of mix he makes.
Hence,
Chocolate chips ∝ Number of Ounces
Chocolate chips = c
Number of Ounces = m
= cm
c = km
Where k = Constant of Proportionality
The recipe said that for every 2 1/2 ounces of the mix, 12 chocolate chips be added.
Hence
12 = 21/2 × k
12 = 5/2 × k
12 = 5k/2
Cross multiply
12 × 2 = 5k
24 = 5k
The equation that represents the relationship between c the number of chocolate chips and m the number of ounces is
12 = 5k/2
24 = 5k
Answer:
The equation is (x + 1)^2 + (y + 2)^2 = 15
Center is at (-1, -2) and radius = √15
Step-by-step explanation:
2x^2 + 2y^2 + 4x + 8y - 20 = 0
Divide through by 2:-
x^2 + y^2 + 2x + 4y - 10 = 0
x^2 + 2x + y^2 + 4x = 10
Completing the square on the x and y terms:-
(x + 1)^2 - 1 + (y + 2)^2 - 4 = 10
(x + 1)^2 + (y + 2)^2 = 10 + 1 + 4
(x + 1)^2 + (y + 2)^2 = 15
3 goes into 34 11 times...
11 × 3 = 33
we have one left over so
33 1/3
