Hey there! :)
Answer:
b = -11.
Step-by-step explanation:
Create an equation in slope-intercept form to solve for the intercept:
y = mx + b
Plug in the slope and point values:
4 = -3(-5) + b
Simplify:
4 = 15 + b
Solve for b:
-11 = b
b represents the y-intercept, therefore:
y-intercept = -11
23 and 29 are the two numbers that are prime
Answer:
The lateral area = 450 mm²
Step-by-step explanation:
The lateral area of any prism is equal to the areas of the sides faces
∵ The base of the prism is triangle
∴ It has 3 side faces
∵ The lengths of the side faces are 5 , 12 , 13 and their height is 15
∴ The lateral area = (5 × 15) + (12 × 15) + (13 × 15)
= 75 + 180 + 195 = 450 mm²
Answer:
4.9h−2.7d−13
Step-by-step explanation:
Hello! Sorry that I'm late. Okay, so each batch calls for 2 2/3 cups of granola and 1 1/3 cups of peanuts. Let's divide the number of cups available total by the amount per batch. To divide fractions, keep the first fraction the same, change division into multiplication, and flip the other faction over. Let's do it. 12/1 * 3/8 = 36/8 or 4 1/2 in mixed number form. 17/2 * 3/4 = 51/8 or 6 3/8 in simplest form. You can only make 4 full batches of trail mix, because you can only use the full serving of both granola AND peanuts for 4 of them.
