Answer:
A. 5x^2 - 2x - 12 = 0
Step-by-step explanation:
The base is x feet.
The height is 2 less that 5 times the base.
The height is 5x - 2.
The area is 12.
The area is base * height / 2.
area = bh/2
area = x * (5x - 2) = 12
5x^2 - 2x = 12
5x^2 - 2x - 12 = 0
Answer:
The probability is 1/3
Step-by-step explanation:
There are 6 faces on a die and you are given two faces to possibly land on. 2/6 can be reduced to 1/3
Answer:
Step-by-step explanation:
Please see the picture below.
1. Given the function f(x) = |x|, applying a vertical stretch with scale factor 
, we have the transformed function:
2. Applying a translation of 3 units to the right, we have:
3. Finally applying a translation down of 1 unit, we have:
Using the modified Pythagorean equation sqrt((6-4)^2 + (2-(-2))^2 = c^2, you get the sqrt(4 + 16) or sqrt 20. Factor the 20 into sqrt(4x5) you get 2xsqrt(5)
Answer:
¹¹⁹/₁₂₀ gallon
Step-by-step explanation:
1. Total amount of paint owned: 1 ¹/₅ + 1 ¹/₆ + ⁷/₈ = <em>³⁸⁹/₁₂₀ gallons</em>
2. Total amount of paint used: 3 * ³/₄ =<em> ⁹/₄ gallons</em>
3. Amount left: ³⁸⁹/₁₂₀ - ⁹/₄ = ¹¹⁹/₁₂₀ gallon
