You'll have to be more specific, like what is each side, as in height, width or length. Sorry!
1): Answer =====> Letter Choice, (B), The rate in which you walked home, The slope is the same, as the Rate of Change, In Distance Divided by the Change in Time =====> d = 4 -1/15t(4) / 1/15t
2): The Equation: d = -1/15t + 4
The more the Number of Minutes: Larger the Negative Quantity; ====> -1/15t
The Larger the Negative Quantity in Equation: D value is Smaller:
Therefore your Answer ===> The Distance from home (d), Decreased with Minute Walked (t) ====> So, Letter Choice, (C)
2): Towards your home, The slope is Negative, and the Distance (y - value), Decreases, as the Time (x- Values), Increases. Notice the Slope is Negative, Because, you are getting closer to home.
Hope that helps!!!! : )
So, f[x] = 1/4x^2 - 1/2Ln(x)
<span>thus f'[x] = 1/4*2x - 1/2*(1/x) = x/2 - 1/2x </span>
<span>thus f'[x]^2 = (x^2)/4 - 2*(x/2)*(1/2x) + 1/(4x^2) = (x^2)/4 - 1/2 + 1/(4x^2) </span>
<span>thus f'[x]^2 + 1 = (x^2)/4 + 1/2 + 1/(4x^2) = (x/2 + 1/2x)^2 </span>
<span>thus Sqrt[...] = (x/2 + 1/2x) </span>
Answer:
Equilateral Triangle, Isosceles Triangle, Scalene Triangle
Step-by-step explanation:
Equilateral: 3 lines of symmetry
Isosceles: 1 line of symmetry
Scalene: no lines of symmetry
Answer:
Length: 5 ft; width: 4 ft.
Step-by-step explanation:
A = LW formula for area of rectangle
(2x + 1)(2x) = 20 substitute length, width, and area into formula
4x² + 2x - 20 = 0 use the distributive property to multiply out left side
2x² + x - 10 = 0 divide both sides of equation by 2
(2x + 5)(x - 2) = 0 factor out trinomial
2x + 5 = 0 or x - 2 = 0 use zero product rule to solve for x
2x = -5 or x = 2 subtract 5 from both sides; add 2 to both sides
x = -5/2 or x = 2
We discard x = -5/2 since it would give negative length and width, and the length and width cannot be negative.
Length: 2x + 1 = 2(2) + 1 = 5
Width: 2x = 2(2) = 4
Length: 5 ft; width: 4 ft.