Yes there will be enough juice for everyone to get a full serving. There will be 8 servings left over
Step-by-step explanation:
(-2+-6)/2=-8/2=-4
(-19+-3)=2=-22/2=-11
(-4,-11)
Answer:
Angles 7 and 8 are supplementary because they are a pair of adjacent angles that form a straight line.
Supplementary angles add up to 180°
y - y₁ = m(x - x₁)
y - (-7) = -1¹/₅(x - (-3))
y + 7 = -1¹/₅(x + 3)
y + 7 = -1¹/₅(x) - 1¹/₅(3)
y + 7 = -1¹/₅x - 3³/₅
![m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{-17 - (-2)}{3 - (-9)} = \frac{-17 + 2}{3 + 9}} = \frac{-15}{12} = \frac{-5}{4} = -1\frac{1}{4}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_%7B2%7D%20-%20y_%7B1%7D%7D%7Bx_%7B2%7D%20-%20x_%7B1%7D%7D%20%3D%20%5Cfrac%7B-17%20-%20%28-2%29%7D%7B3%20-%20%28-9%29%7D%20%3D%20%5Cfrac%7B-17%20%2B%202%7D%7B3%20%2B%209%7D%7D%20%3D%20%5Cfrac%7B-15%7D%7B12%7D%20%3D%20%5Cfrac%7B-5%7D%7B4%7D%20%3D%20-1%5Cfrac%7B1%7D%7B4%7D)
y - y₁ = m(x - x₁)
y - (-2) = -1¹/₄(x - (-9))
y + 2 = -1¹/₄(x + 9)
y + 2 = -1¹/₄(x) - 1¹/₄(9)
y + 2 = -1¹/₄x - 11¹/₄
- 2 - 2
y = -1¹/₄x - 13¹/₄
y - y₁ = m(x - x₁)
y - (-3) = ⁻¹/₄(x - 8)
y + 3 = ⁻¹/₄(x) + ¹/₄(8)
y + 3 = ⁻¹/₄x + 2
- 3 - 3
y = ⁻¹/₄x - 1
y - y₁ = m(x - x₁)
y - (-17) = ¹/₂(x - (-6))
y + 17 = ¹/₂(x + 6)
y + 17 = ¹/₂(x) + ¹/₂(6)
y + 17 = ¹/₂x + 3
- 17 - 17
y = ¹/₂x - 14
![m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{-4 - 8}{-4 - 6} = \frac{-12}{-10} = \frac{12}{10} = \frac{6}{5} = 1\frac{1}{5}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_%7B2%7D%20-%20y_%7B1%7D%7D%7Bx_%7B2%7D%20-%20x_%7B1%7D%7D%20%3D%20%5Cfrac%7B-4%20-%208%7D%7B-4%20-%206%7D%20%3D%20%5Cfrac%7B-12%7D%7B-10%7D%20%3D%20%5Cfrac%7B12%7D%7B10%7D%20%3D%20%5Cfrac%7B6%7D%7B5%7D%20%3D%201%5Cfrac%7B1%7D%7B5%7D)
y - y₁ = m(x - x₁)
y - 8 = 1¹/₅(x - 6)
y - 8 = 1¹/₅(x) - 1¹/₅(6)
y - 8 = 1¹/₅x - 7¹/₅
+ 8 + 8
y = 1¹/₅x + ⁴/₅
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