Using the distance formula, to find the length of each sides, the longest side is about 6.71 units which is: <u>d. AB</u>
To find the longest side, we would apply the distance formula to find the length of each side.
<em><u>Given:</u></em>
- A(−2,1)
- B(4,4)
- C(5,0)
- D(−1,−2)
Distance formula =
<u>Length of AB:</u>
<u>Length of BC:</u>
<u>Length of CD:</u>
<u>Length of DA:</u>
Therefore, the using the distance formula, to find the length of each sides, the longest side is about 6.71 units which is: <u>d. AB</u>
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Answer:
first must times the number
396,000
because 5 goes up and anything lower than five stays the same
Answer:
A. G'(5) = 20
B. G'(5) = -1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Functions
- Function Notation
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative Rule [Product Rule]:
Derivative Rule [Quotient Rule]:
Step-by-step explanation:
<u>Step 1: Define</u>
[Given] F(5) = 4, F'(5) = 4, H(5) = 2, H'(5) = 3
[Given] A. G(z) = F(z) · H(z)
[Given] B. G(w) = F(w) / H(w)
[Find] G'(5)
<u>Step 2: Differentiate</u>
A. G(z) = F(z) · H(z)
- [Derivative] Product Rule: G'(z) = F'(z)H(z) + F(z)H'(z)
B. G(w) = F(w) / H(w)
- [Derivative] Quotient Rule: G'(w) = [F'(w)H(w) - F(w)H'(w)] / H²(w)
<u>Step 3: Evaluate</u>
A. G'(5)
- Substitute in <em>x </em>[Function]: G'(5) = F'(5)H(5) + F(5)H'(5)
- Substitute in function values: G'(5) = 4(2) + 4(3)
- Multiply: G'(5) = 8 + 12
- Add: G'(5) = 20
B. G'(5)
- Substitute in <em>x</em> [Function]: G'(5) = [F'(5)H(5) - F(5)H'(5)] / H²(5)
- Substitute in function values: G'(5) = [4(2) - 4(3)] / 2²
- Exponents: G'(5) = [4(2) - 4(3)] / 4
- [Brackets] Multiply: G'(5) = [8 - 12] / 4
- [Brackets] Subtract: G'(5) = -4 / 4
- Divide: G'(5) = -1
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
Answer:
1 1/2 pinyt
Step-by-step explanation: