The answer is B (70 and 20 degrees)
Answer:
Point N(4, 1)
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>
</u>
<u>Algebra I</u>
- Coordinates (x, y)
- Functions
- Function Notation
- Terms/Coefficients
- Anything to the 0th power is 1
- Exponential Rule [Rewrite]:
- Exponential Rule [Root Rewrite]:
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Chain Rule]:
Step-by-step explanation:
<u>Step 1: Define</u>
<u /><u />
<u /><u />
<u />
<u>Step 2: Differentiate</u>
- [Function] Rewrite [Exponential Rule - Root Rewrite]:
- Chain Rule:
- Basic Power Rule:
- Simplify:
- Multiply:
- [Derivative] Rewrite [Exponential Rule - Rewrite]:
- [Derivative] Rewrite [Exponential Rule - Root Rewrite]:
<u>Step 3: Solve</u>
<em>Find coordinates</em>
<em />
<em>x-coordinate</em>
- Substitute in <em>y'</em> [Derivative]:
- [Multiplication Property of Equality] Multiply 2 on both sides:
- [Multiplication Property of Equality] Multiply √(x - 3) on both sides:
- [Equality Property] Square both sides:
- [Addition Property of Equality] Add 3 on both sides:
<em>y-coordinate</em>
- Substitute in <em>x</em> [Function]:
- [√Radical] Subtract:
- [√Radical] Evaluate:
∴ Coordinates of Point N is (4, 1).
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
Answer:
D. 62 square feet
Step-by-step explanation:
uz + wx + (v+z)(y-u-w)
6*3 + 4*6 + (7+3)(12-6-4)
18 + 24 + 20 = 62
1.5 is the correct answer :)
Answer:
JK - 20
Step-by-step explanation:
As JLM is a square triangle, so that we have the formula to calculate the corner ∡LMJ
We have tan∡LMJ = LJ/ JM =45/60 = 0.75
+) As ∡LMK = ∡KMJ => tan ∡LMK = tan ∡KMJ
+) ∡LMK + ∡KMJ = ∡LMJ
We have the formula: tan (x+y) =
=> tan (∡LMK + ∡KMJ) =
As tan (∡LMK + ∡KMJ) = tan ∡LMJ = 0.75
=> = 0.8
=> 0.75 - 0.75 x = 2tanKMJ
As 0 < ∡KMJ < => tan KMJ > 0
=> tan KMJ = 1/3
As JKM is also a square triangle
=> We have tan∡KMJ = JK/JM
=> 1/3 = JK/JM
=. JK = JM x (1/3) = 60 x (1/3) = 20
So JK = 20