Answer:
<em>The third side of the triangle must have a length between 23 yd and 41 yd.</em>
Step-by-step explanation:
<u>Triangle Inequality Theorem</u>
Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:
x + y > z
x + z > y
y + z > x
Combining the above inequalities, and provided y>z, the third size must satisfy:
y - z < x < y + z
We have to side lengths: y=32 yd and z = 9 yd, thus the range of possible values for the third side x is:
32 - 9 < x < 32 + 9
23 < x < 41
The third side of the triangle must have a length between 23 yd and 41 yd.
Answer:
f'(2) = 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Calculus</u>
The definition of a derivative is "the slope of the tangent line".
Derivatives of constants are 0.
Basic Power Rule:
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x² - 4x + 2
<u>Step 2: Find 1st Derivative</u>
- Basic Power Rule: f'(x) = 2·3x²⁻¹ - 1·4x¹⁻¹
- Simplify: f'(x) = 6x - 4
<u>Step 3: Find tangent slope</u>
- Define: f'(x) = 6x - 4, x = 2
- Substitute: f'(2) = 6(2) - 4
- Multiply: f'(2) = 12 - 4
- Subtract: f'(2) = 8
<u>Step 4: Identify</u>
f'(2) = 8 tells us that at <em>x</em> = 2, the slope of the tangent line is 8.
Answer:
You can have 2, 1/4 pieces. The answer is 2.
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
Check the values of 
at 
Each 
point is on the graph.
Hence graph represents the given function.
