Answer:
Horizontal tangent
(x, y) = (1, 0)
Vertical tangent
(x, y) = DNE
Step-by-step explanation:
The equation for the slope (m) of the tangent line at any point of a parametric curve is:
Where 
and 
are the first derivatives of the horizontal and vertical components of the parametric curves. Now, the first derivatives are now obtained:
and 
The equation of the slope is:
As resulting expression is a linear function, there are no discontinuities and for that reason there are no vertical tangents. However, there is one horizontal tangent, which is:
The point associated with the horizontal tangent is:
The answer is:
Horizontal tangent
(x, y) = (1, 0)
Vertical tangent
(x, y) = DNE
Answer:
14 servings
Step-by-step explanation:
![\frac{9\ 1/3}{2/3} \\=\frac{28/3}{2/3}\\=\frac{28}{3} / \frac{2}{3} \\=\frac{28}{3} * \frac{3}{2} [Reciprocal]\\=28/2\\=14\ servings](https://tex.z-dn.net/?f=%5Cfrac%7B9%5C%201%2F3%7D%7B2%2F3%7D%20%5C%5C%3D%5Cfrac%7B28%2F3%7D%7B2%2F3%7D%5C%5C%3D%5Cfrac%7B28%7D%7B3%7D%20%2F%20%5Cfrac%7B2%7D%7B3%7D%20%5C%5C%3D%5Cfrac%7B28%7D%7B3%7D%20%2A%20%5Cfrac%7B3%7D%7B2%7D%20%5BReciprocal%5D%5C%5C%3D28%2F2%5C%5C%3D14%5C%20servings)
Answer:
x > 3
Step-by-step explanation:
16x + 8 > 12x + 20 <== subtract 12x from both sides
- 12x - 12x
4x + 8 > 20 <== subtract 8 from both sides
- 8 - 8
4x > 12 <== divide both sides by 4
/4 /4
x > 3
This means that x is any value that is greater (bigger) than 3.
Hope this helps!
Answer:
m∠LMN = 29°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Set up equation</u>
m∠LMN and m∠NMP must add up to m∠LMP
(2x - 1)° + (5x + 3)° = 107°
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 7x + 2 = 107
- Isolate <em>x</em> term: 7x = 105
- Isolate <em>x</em>: x = 15
<u>Step 3: Find m∠LMN</u>
- Define: m∠LMN = (2x - 1)°
- Substitute in <em>x</em>: m∠LMN = (2(15) - 1)°
- Multiply: m∠LMN = (30 - 1)°
- Subtract: m∠LMN = 29°
4 thousands = 4000
7 hundreds = 700
16 tens = 160
9 ones = 9
Then you add them all together:
4000 + 700 + 160 + 9
Your answer is 4869.
