Hello from MrBillDoesMath!
Answer:
-9 sqrt(5)
Discussion:
-2 sqrt(20) - sqrt(125) =
-2 *2 sqrt(5) - sqrt(125)= as 20 = 4* 5
-4sqrt(5)- 5 sqrt(5) = as 125 = 25 *5
(-4 -5) sqrt(5) =
-9 sqrt(5)
Thank you,
MrB
Answer:
g'(0) = 0
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Pre-Calculus</u>
<u>Calculus</u>
- Derivatives
- Derivative Notation
- The derivative of a constant is equal to 0
- Derivative Property:
![\frac{d}{dx} [cf(x)] = c \cdot f'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bcf%28x%29%5D%20%3D%20c%20%5Ccdot%20f%27%28x%29)
- Trig Derivative:
![\frac{d}{dx} [cos(x)] = -sin(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bcos%28x%29%5D%20%3D%20-sin%28x%29)
Step-by-step explanation:
<u>Step 1: Define</u>
g(x) = 8 - 10cos(x)
x = 0
<u>Step 2: Differentiate</u>
- Differentiate [Trig]: g'(x) = 0 - 10[-sin(x)]
- Simplify Derivative: g'(x) = 10sin(x)
<u>Step 3: Evaluate</u>
- Substitute in <em>x</em>: g'(0) = 10sin(0)
- Evaluate Trig: g'(0) = 10(0)
- Multiply: g'(0) = 0
AAS congruence theorem.
We know that <H is congruent to <F and <GJH is congruent to <JGF.
We also know that JG is congruent to JG, which gives us a side and two angles, so AAS would prove them congruent.
The equation to find percent error is

where actual is the value that actually came out (in this case, 11.5 km) and theoretical is the value that was supposed to come out (in this case, 10 km). Just plug in the numbers and simplify.

So, the true answer would be 15%. Apparently, the question you're asking takes 11.5 as the theoretical and the 10 as the actual (which I personally disagree with)
If you plugged in the numbers that way, the answer comes out to 13.04%. So, the correct answer for your answer choices is c. 13%