4x^2 + 5xy - y^2 = 6
Implicitly differentiating both sides,
4(2x) + 5(x y' + y) - 2yy' = 0
where y' = dy/dx
8x + 5xy' +5y -2yy' = 0
combining y' terms
y' (5x-2y) +8x +5y = 0
y'(5x-2y) = -(8x+5y)
dy/dx = -(8x+5y)/(5x-2y)
or
dy/dx = (8x+5y)/(2y-5x)
A circle is 360 degrees so 1/18 of the circle will be 20 degrees. For 5 parts the total will be 100 degrees (20*5)
Answer:
The answer is x = 2.
Step-by-step explanation:
7x + 3 = 2x + 13
5x + 3 = 13
5x = 10
x = 2
Answer:
x = 97
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use PT to solve for the missing side length.
<u>Step 2: Identify Variables</u>
Leg <em>a</em> = 72
Leg <em>b</em> = 65
Hypotenuse <em>c</em> = <em>x</em>
<em />
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute [PT]: 72² + 65² = x²
- Exponents: 5184 + 4225 = x²
- Add: 9409 = x²
- Isolate <em>x</em>: 97 = x
- Rewrite: x = 97
