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fredd [130]
3 years ago
15

Consider the expression √(√625).

Mathematics
1 answer:
const2013 [10]3 years ago
6 0

Answer:

5

Step-by-step explanation:

Square Root - Finding a number that multiplies itself twice into the number within the square root

With this meaning, we need to find a number that multiplies itself into 625.

Finding calculations using exponents will help,

25^2 is equal to 625. Therefore \sqrt{25}

We are not finished, as there is another square root right after, empowering the parenthesis, so what number multiplies itself equals 25?

This would be 5, therefore \sqrt{(\sqrt{625}) } is equal to 5.

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Expand and simplify (2x+1) (x-2) (x+3)
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Answer:

2x^3 + 3x^2 - 11x - 6.

Step-by-step explanation:

(2x+1) (x-2) (x+3)

= (2x + 1)[x(x + 3)-2(x + 3)]

= (2x + 1)(x^2 + x - 6)

= 2x(x^2 + x - 6) + 1(x^2 + x - 6)

= 2x^3 + 2x^2 - 12x + x^2 + x - 6

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4 years ago
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Given: Two distinct circles that are tangent to each other at a common point. How many tangent lines can be drawn that touch bot
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As shown in the model below, there are three lines.

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4 years ago
Find the distance d(P1, P2) between the points P1 and P2.
earnstyle [38]

Answer:

\displaystyle d = \sqrt{65}

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>Algebra I</u>

  • Coordinates (x, y)

<u>Algebra II</u>

  • Distance Formula: \displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

P1 (4, -5) → x₁ = 4, y₁ = -5

P2 (3, 3) → x₂ = 3, y₂ = 3

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

  1. Substitute in points [Distance Formula]:                                                        \displaystyle d = \sqrt{(3-4)^2+(3--5)^2}
  2. [Distance] [√Radical] (Parenthesis) Simplify:                                                 \displaystyle d = \sqrt{(3-4)^2+(3+5)^2}
  3. [Distance] [√Radical] (Parenthesis) Subtract/Add:                                          \displaystyle d = \sqrt{(-1)^2+(8)^2}
  4. [Distance] [√Radical] Evaluate exponents:                                                    \displaystyle d = \sqrt{1+64}
  5. [Distance] [√Radical] Add:                                                                                \displaystyle d = \sqrt{65}
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3 years ago
Solve the equation for x.<br> -13 + x= 7 + 5x<br> 5<br> 1.5<br> -1.5<br> 5
Anna11 [10]

Step-by-step explanation:

Bringing like terms on one side

-13 - 7 = 5x - x

-20 = 4x

-20/ 4 = x

- 5 = x

4 0
3 years ago
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