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crimeas [40]
2 years ago
11

Help? The distance between (2, -4) and (2, -1) is:

Mathematics
2 answers:
Reil [10]2 years ago
5 0
You’d get an answer of 3!!
maria [59]2 years ago
3 0

Answer:

3

Step-by-step explanation:

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Use simpson's rule with n = 10 to approximate the area of the surface obtained by rotating the curve about the x-axis. compare y
Lubov Fominskaja [6]

y = ln x , 1 <= x <= 3, about x axis and n = 10, dy/dx = 1/ x

S = (b a) ∫ 2π y √( 1 + (dy/dx) ^2) dx

so our f(x) is 2π y √( 1 + (dy/dx) ^2)

(b - a) / n = / 3 = (3-1) / 30 = 1/15

x0 = 1 , x1 = 1.2, x2 = 1.4, x3 = 1.6 ....... x(10) = 3

So we have , using Simpsons rule:-

S10 = (1/15) ( f(x0) + 4 f(x1) + 2 f)x2) +.... + f(x10) )

= (1/15) f(1) + f(3) + 4(f(1.2) + f(1.6) + f(2) + f(2.4) + f(2.8)) + 2(f(1.4) + f(1.8) + f(2.2) + f(2.6) )

( Note f(1) = 2 * π * ln 1 * √(1 + (1/1)^2) = 0 and f(3) = 2π ln3√(1+(1/3^2) = 7,276)

so we have S(10)

= 1/15 ( 0 + 7.2761738 + 4(1.4911851 +


5 0
3 years ago
Find the area of the complex figure.
Rzqust [24]
To find the area of this figure, there is two choices
1. cut it into 3 rectangles.
2.find the missing rectangle in the middle......
I likes 2 better $_$  :}

find the missing area in the middle, 12* 23 = 276
the area of the whole figure 31*69-276=1863m²
4 0
3 years ago
F(x)=-2x+4<br><br> find domain and range
Arturiano [62]

Domain: All real numbers

Range: All real numbers

Since the function is linear it is a continuous straight line meaning that the domain and range are all real numbers.

3 0
1 year ago
What is the solution of the equation when solved using the quadratic formula?<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B
Artemon [7]

Answer:

x=\pm2i\sqrt{5}

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>Algebra I</u>

  • Standard Form: ax² + bx + c = 0
  • Quadratic Formula: x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

<u>Algebra II</u>

  • Imaginary Numbers: √-1  = i

Step-by-step explanation:

<u>Step 1: Define Equation</u>

x² + 20 = 0

<u>Step 2: Identify Variables</u>

a = 1

b = 0

c = 20

<u>Step 3: Find roots </u><em><u>x</u></em>

  1. Substitute:                    x=\frac{-0\pm\sqrt{0^2-4(1)(20)} }{2(1)}
  2. Exponents:                   x=\frac{-0\pm\sqrt{0-4(1)(20)} }{2(1)}
  3. Multiply:                        x=\frac{-0\pm\sqrt{0-80} }{2}
  4. Subtract:                       x=\frac{\pm\sqrt{-80} }{2}
  5. Factor:                          x=\frac{\pm\sqrt{-1} \sqrt{80} }{2}
  6. Simplify:                        x=\frac{\pm4i\sqrt{5} }{2}
  7. Divide:                          x=\pm2i\sqrt{5}
6 0
2 years ago
All athletes at the Olympic games are tested for performance-enhancing steroid drug use. The imperfect test gives positive resul
Nana76 [90]

Answer:

0.4%

Step-by-step explanation:

We have two independent events

  1. The athlete who is being tested for drugs actually is using steroids.
  2. The test went wrong indicating a false result.

The probability of 1) to happen is 0.04 because "4% of all registered athletes use steroids".

The probability of 2) ti happen is 0.1 because "The imperfect test gives positive results (indicating drug use) for 90% of all steroid-users"

Then the probability of 1) and 2) to happen is given by

P=P(1)*P(2)=(0.04)(0.1)=0.004=0.4%

3 0
3 years ago
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