Answer:
y-intercept = 3
Step-by-step explanation:
3x + 4y = 12
4y = -3x + 12
4y/4 = -3/4x + 12/4
y = -3/4x + 3
 
        
                    
             
        
        
        
Answer:
MNK = TRP
MN is congruent to TR. 
X = 6.3
Step-by-step explanation:
MNK is congruent to TRP because the two triangles are congruent, which is a given statement. This also means that all side and angle measures will be congruent. Because of this, it can be inferred that MN is congruent to TR and they have equal side length measures. This means that TR measures 20. This means that 3X - 1 = 20. By solving we can get 6.33.
 
        
             
        
        
        
The number that presents 8/9 to the nearest percent is .89.
        
             
        
        
        
Answer:
b² = a² + c² - 2ac cos B
Step-by-step explanation:
The cosine rule can be use when you are given three sides of a triangle and ask to find any angle or when you are given two sides and a included angles(the angle between the two sides given) and ask to find the length of a side.
The equation Sophia can use to solve for the side length(b) of a triangle when given two length and the included angle can be expressed below. Sophia was given two sides and an included angle and was asked to find a side length b. 
For sides a, b and c the cosine rule can be represented below
a² = b² + c² - 2bc cos A
b² = a² + c² - 2ac cos B
c² = a² + b² - 2ab cos C
The equation required base on your question is 
b² = a² + c² - 2ac cos B
 
 
        
             
        
        
        
1. 21 peanuts per minute
2. 9 texts per minute
3. 28 pages per hour OR half a page per minute
4. The first option is the cheapest. You can find what one ounce costs for each barrel by dividing the cost by the total ounces.