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2 years ago

Given the perimeter of a square find the length of one side using the appropriate formula

Mathematics

1 answer:

Lady bird [3.3K]2 years ago

8 0

With a square, all you need to do to find the length of one side is to divide the perimeter by 4. If it is the area you are calculating, then you need to find the square root. For that equation the answer is 24.

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Implicit differentiation Please help

Anvisha [2.4K]

Answer:

$y''(-1) =8$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Factoring

Calculus

Implicit Differentiation

The derivative of a constant is equal to 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Product Rule: $\frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Chain Rule: $\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Quotient Rule: $\frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}$

Step-by-step explanation:

Step 1: Define

-xy - 2y = -4

Rate of change of the tangent line at point (-1, 4)

Step 2: Differentiate Pt. 1

Find 1st Derivative

Implicit Differentiation [Product Rule/Basic Power Rule]: $-y - xy' - 2y' = 0$
[Algebra] Isolate y' terms: $-xy' - 2y' = y$
[Algebra] Factor y': $y'(-x - 2) = y$
[Algebra] Isolate y': $y' = \frac{y}{-x-2}$
[Algebra] Rewrite: $y' = \frac{-y}{x+2}$

Step 3: Find y

Define equation: $-xy - 2y = -4$
Factor y: $y(-x - 2) = -4$
Isolate y: $y = \frac{-4}{-x-2}$
Simplify: $y = \frac{4}{x+2}$

Step 4: Rewrite 1st Derivative

[Algebra] Substitute in y: $y' = \frac{-\frac{4}{x+2} }{x+2}$
[Algebra] Simplify: $y' = \frac{-4}{(x+2)^2}$

Step 5: Differentiate Pt. 2

Find 2nd Derivative

Differentiate [Quotient Rule/Basic Power Rule]: $y'' = \frac{0(x+2)^2 - 8 \cdot 2(x + 2) \cdot 1}{[(x + 2)^2]^2}$
[Derivative] Simplify: $y'' = \frac{8}{(x+2)^3}$

Step 6: Find Slope at Given Point

[Algebra] Substitute in x: $y''(-1) = \frac{8}{(-1+2)^3}$
[Algebra] Evaluate: $y''(-1) =8$

6 0

2 years ago

Read 2 more answers

A bag contains blue and yellow marbles. Two marbles are drawn without replacement. The probability of selecting a blue marble an

igomit [66]

Let b = blue marbles
y = yellow marbles
Sum = b+y
The chance of a blue marble being drawn first is:
b / (b+y) = 0.55
The chance of a blue marble being drawn first then a yellow next is:
b / (b+y) * y / (b+y-1) = 0.37
This can be solve easily by using a theorem of Bayes
0.37/0.55 = .67 or 67%

4 0

2 years ago

Please help me with this, ASAP. Please and thank you! D:

creativ13 [48]

Please help me with math if you can
If your able to of course
Help mr///////)()&&)&!!,;$?&&,;)$,५$,(७,

8 0

2 years ago

You have decided to wallpaper your rectangular bedroom. The dimensions are 12 feet 6 inches by 10 feet 6 inches by 8 feet 0 inch

Schach [20]

Answer:

Number of wallpaper needed = At/Aw = 355.3/75

N = 4.74 ~= 5 rolls

Step-by-step explanation:

Given;

Length of the room = 12 feet 6 inches = 12.5 ft

Breadth of the room = 10 feet 6 inches= 10.5ft

Height of the room = 8 feet

Window = 4 ft by 3ft

door = 7ft by 3 ft

Wall paper = 30 inches by 30ft = 2.5ft by 30ft

The total area of the walls of the room is;

Area = Area of the four walls - Area of the two windows and a door.

A = 2LH + 2BH - Area of windows and door

A = 2(12.5×8) + 2(10.5×8) - 2(4×3) -(7×3)

A = 323ft^2

Allowing 10% waste, total area of wallpaper needed is;

At = 323 × 1.10 = 355.3ft^2

Area of wallpaper Aw= 2.5×30 = 75ft^2

Number of wallpaper needed = At/Aw = 355.3/75

N = 4.74 ~= 5 rolls

3 0

2 years ago

AngleFBC and AngleCBG are supplements, AngleDBG and AngleDBF are supplements, and AngleCBG Is-congruent-to AngleDBF.

wlad13 [49]

Answer:

FBC=DBG

Step-by-step explanation:

Edge 2020

7 0

2 years ago

Read 2 more answers