Answer:
b) EF = GF , as both of them are at equal distance from the center
Step-by-step explanation:
Here we are given a ΔEFG inscribed in a circle. We have to determine whether EF = Gf and why ?
Here we see that the center is A
And EF and GF forms the chords of this circle.
The distance of these chords from the center is given as AD and DH . It is also given that both are equal.
The property of a circle says that
When chords are drawn at equal distance from the center , the chords are equal to each other. Hence we have EF and GF equal to each other.
2x-4/x-5 = 0 (Determine the defined range)
x \neq 5
2x-4 = 0 (Move constant to the right side and change its sign)
2x=4
x=2, x \neq 5 (Check if the solution is in the defined range)
x=2
Answer:
B.
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Algebra I</u>
- Terms/Coefficients
- Exponential Rule [Rewrite]:
- Exponential Rule [Root Rewrite]:
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative of a constant is 0
The definition of a derivative is the slope of the tangent line
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Implicit Differentiation
Step-by-step explanation:
<u>Step 1: Define</u>
<u>Step 2: Differentiate</u>
<em>Implicit Differentiation</em>
- [Function] Rewrite [Exponential Rule - Root Rewrite]:
- [Function] Basic Power Rule:
- [Derivative] Simplify:
- [Derivative] Rewrite [Exponential Rule - Rewrite]:
- [Derivative] Isolate term [Subtraction Property of Equality]:
- [Derivative] Isolate [Multiplication Property of Equality]:
- [Derivative] Simplify:
<u>Step 3: Evaluate</u>
<em>Find slope of tangent line</em>
- Substitute in point [Derivative]:
- [Slope] Exponents:
- [Slope] Simplify:
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Differentiation - Implicit Differentiation
Book: College Calculus 10e
Board:
Width = 3 feet = 3*12 = 36 inches
Height = 1 foot = 1*12 = 12 inches
36 in (board width) / 2 in (posit width) = 18
12 in (board height) / 2 in (posit height) = 6
Area = base * height
Area = 18 post-its wide * 6 post-its height = 108 post-its
Step-by-step explanation:
Total sections= 8
Yellow sections=2
So,
2/8
In second black write
1/4 ( by reducing 2/8)
hope it helps