Answer:
Line "L" has the slope of 1 and line "K" has the slope of 2.
In order to graph a line with the slope of 
think of the numerator as the "rise" (how much you move up/down on the y-intercept) and the denominator as the "run" (how much you move to the side on the x-intercept)
Step-by-step explanation:
A slope of "1" is simply 
so you rise up one and move to the right once. This clearly demonstrated on line "L".
A slope of "2" is 
so you rise up two and move to the right once, as is demonstrated on line "K".
For the 2nd question, line "A" will have a slope of therefore it will move up once and then to the side three times. It will look like the image attached to this answer.
I hope this helped! Feel free to ask questions if needed!
Answer:
1 1/4 miles
Step-by-step explanation:
Answer:
40: 1, 2, 4, 5, 8, 10, 20, 40
150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Step-by-step explanation:
If allison buys 80 packs of meat for the picnic and 5 of those slices in each pack are turkey she would end up with 400 slices of turkey.
Answer:
1) a = -⅙, b = ⅙, c = 1
2) 6 units
Step-by-step explanation:
1) f(x) = ax² + bx + c
Given the roots, we can write this as:
f(x) = a (x + 2) (x − 3)
We know that f(13) = -25, so we can plug this in to find a:
-25 = a (13 + 2) (13 − 3)
-25 = 150a
a = -⅙
Therefore, the factored form is:
f(x) = -⅙ (x + 2) (x − 3)
Distributing:
f(x) = -⅙ (x² − x − 6)
f(x) = -⅙ x² + ⅙ x + 1
Graph: desmos.com/calculator/6m6tjoodvb
2) Volume of a right prism is area of the base times the height.
V = Ah
The base is an equilateral triangle. Area of a triangle is one half the base times height.
V = ½ ab h
The height of the triangle is the same as the height of the prism.
V = ½ bh²
In an equilateral triangle, the height is equal to half the base times the square root of 3.
V = ½ b (½√3 b)²
V = ⅜ b³
Given that V = 81, solve for b.
81 = ⅜ b³
216 = b³
b = 6
