Answer:
Step-by-step explanation:
You need to use the following formula for calculate the Surface area of a Right triangular prism:
Where "p" is the perimeter of the base, "h" is the height of the prism and "B" is the area of the base.
You can identify that the height is:
The area of a triangle can be found with this formula:
Where "b" is the height of the triangle and "H" is its height.
Knowing this formula, you can find the area of the base of the prism. This is:
Since the perimeter of a figure is the sum of the lenghts of its sides, "p" is:
Therefore, substituting values into the formula, you get:
Hey there!!
Parallel lines have the same slope. If they have different slope, then they are not parallel because both lines would combine at some point.
The y-intercept form:
<em>y = mx + b </em>
<u>In this equation, 'm' is considered to be the slope. </u>
The equation we have is 6y = -2x + 4
First, let's divide all the sides with 6 to isolate the value of 'y'.
... 6y = -2x + 4
... y = -1/3x + 2/3
<u><em>The slope is -1/3... </em></u>
<u><em>... hence the slope in the other equation should be -1/3. </em></u>
Equation we got...
... 2y = ax - 5
Let's divide by 2 on both sides...
... y = ax/2 - 5
The slope in this a/2
<u><em>Hence, ... </em></u>
<u><em>... a/2 = -1/3 </em></u>
<u><em>... 3a = -2 </em></u>
<u><em>... a = -2/3 </em></u>
<h2><u><em>
Hence, the value of a is -2/3. </em></u></h2><h3><u><em>
Hope my answer helps!</em></u></h3>
Answer:
187
Step-by-step explanation:
<em>16 less than 3 times means 16-3.</em>
<em>so when 16-3=13, hence there is 200 reptiles total. so what we do is subract the 200 and the 13. 200-13=187</em>
Well, this is my type of answer.
30+60min=90min(history+english)
1/4=maths
3/4=history+english
90min/3=30min(his math homework)
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
- Functions
- Function Notation
- Exponential Rule [Root Rewrite]:
<u>Algebra II</u>
- Logarithms and Natural Logs
- Logarithmic Property [Multiplying]:
- Logarithmic Property [Exponential]:
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative Property [Multiplied Constant]:
Derivative Property [Addition/Subtraction]:
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Chain Rule]:
Logarithmic Derivative:
Implicit Differentiation
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<em /><em />
<em />
<u>Step 2: Rewrite</u>
- [Equality Property] ln both sides:
- Logarithmic Property [Multiplying]:
- Exponential Rule [Root Rewrite]:
- Logarithmic Property [Exponential]:
<u>Step 3: Differentiate</u>
- ln Derivative [Implicit Differentiation]:
- Rewrite [Derivative Property - Addition]:
- Rewrite [Derivative Property - Multiplied Constant]:
- ln Derivative [Chain Rule]:
- Rewrite [Derivative Property - Addition]:
- Basic Power Rule]:
- Simplify:
- Multiply:
- [Multiplication Property of Equality] Isolate <em>y'</em>:
- Substitute in <em>y</em>:
- [Brackets] Add:
- Multiply:
- Simplify [Exponential Rule - Root Rewrite]:
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Implicit Differentiation
Book: College Calculus 10e