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pshichka [43]
3 years ago
13

What is the solution of sqrt 2x + 4 equals 16?​

Mathematics
1 answer:
Dovator [93]3 years ago
7 0

Answer: x=6

Step-by-step explanation:

2x+4=16

   -4   -4

(2x=12)/2

x=6

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The length of the hypotenuse of a 30 -60 -90 triangle is 11, find the perimeter ?
pentagon [3]
Cos(30) = x/11

cos(30) × 11 = 9.53

sin(30) × 11 = 5.5

perimeter = 11+9.53+5.5 = 26.03

Hope this helps
5 0
3 years ago
The length of a rectangle is increasing at a rate of 4 meters per day and the width is increasing at a rate of 1 meter per day.
puteri [66]

Answer:

\displaystyle \frac{dA}{dt} = 102 \ m^2/day

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Geometry</u>

Area of a Rectangle: A = lw

  • l is length
  • w is width

<u>Calculus</u>

Derivatives

Derivative Notation

Implicit Differentiation

Differentiation with respect to time

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

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle l = 10 \ meters<u />

<u />\displaystyle \frac{dl}{dt} = 4 \ m/day<u />

<u />\displaystyle w = 23 \ meters<u />

<u />\displaystyle \frac{dw}{dt} = 1 \ m/day<u />

<u />

<u>Step 2: Differentiate</u>

  1. [Area of Rectangle] Product Rule:                                                                 \displaystyle \frac{dA}{dt} = l\frac{dw}{dt} + w\frac{dl}{dt}

<u>Step 3: Solve</u>

  1. [Rate] Substitute in variables [Derivative]:                                                    \displaystyle \frac{dA}{dt} = (10 \ m)(1 \ m/day) + (23 \ m)(4 \ m/day)
  2. [Rate] Multiply:                                                                                                \displaystyle \frac{dA}{dt} = 10 \ m^2/day + 92 \ m^2/day
  3. [Rate] Add:                                                                                                      \displaystyle \frac{dA}{dt} = 102 \ m^2/day

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Implicit Differentiation

Book: College Calculus 10e

8 0
4 years ago
In your own words, what is a rigid motion?
jonny [76]

Answer:

Rigid Motion: Any way of moving all the points in the plane such that.

a) the relative distance between points stays the same and.

b) the relative position of the points stays the same.

Step-by-step explanation:

8 0
4 years ago
Determine the zeros of <br> f(x) = (x + 5)^2 - 6
lions [1.4K]
Square root 6 minus 5
8 0
4 years ago
Help me , i’ll give u brainlist
PilotLPTM [1.2K]

Answer:

6

Step-by-step explanation:

6 0
4 years ago
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