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padilas [110]
3 years ago
12

If (6y − 11)(6y + 11) = ay2 − b, what is the value of a? The value of a is ____________. Numerical Answers Expected! Answer for

Blank 1:

Mathematics
2 answers:
Ksju [112]3 years ago
5 0
I hope this helps you

laiz [17]3 years ago
3 0
Multiply
we notice a difference of 2 perfect square
(a-b)(a+b)=a^2-b^2
(6y-11)(6y+11)=(6y)^2-(11)^2=36y^2-121

a=36
b=121
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What's the area of a circle with diameter 18 units? Question 8 options: A) 9π units2 B) 81π units2 C) π units2 D) 18π units2
Anna [14]

Answer:

B) 81π units²

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>

Radius of a Circle Formula: r = d/2

  • r is radius
  • d is diameter

Area of a Circle Formula: A = πr²

Step-by-step explanation:

<u>Step 1: Define</u>

Diameter <em>d</em> = 18 units

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

Radius <em>r</em> = 18 units/2 = 9 units

<u>Step 3: Find Area</u>

  1. Substitute in <em>r</em> [Area of a Circle Formula]:                                                       A = π(9 units)²
  2. [Area] Evaluate exponents:                                                                              A = π(81 units²)
  3. [Area] Multiply:                                                                                                  A = 81π units²
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