Answer:
What data set?
Step-by-step explanation:
I would help you only if you put the data set tho.
Answer:



Step-by-step explanation:
Represent:
- The opposite with a
- The adjacent with b
- The hypotenuse with c
Given that:


Required
Solve for a, b and c

So, we have:

Subtract 1 from both sides


Apply Pythagoras Theorem

Substitute 3 + 3b for a and 4 + 3b for c

Open brackets


Collect Like Terms


Expand

Factorize:


Split:


But the adjacent of a triangle can't have a negative measurement.
So:

Recall that:


Substitute 7 for b in the above expressions






Hence, the dimensions of the triangle are:



Answer:
To solve an exponential equation, take the log of both sides, and solve for the variable.
Step-by-step explanation:
Example 1: Solve for x in the equation tex2html_wrap_inline119 .
Solution:
Step 1: Take the natural log of both sides:
displaymath121
Step 2: Simplify the left side of the above equation using Logarithmic Rule 3:
displaymath123
Step 3: Simplify the left side of the above equation: Since Ln(e)=1, the equation reads
displaymath127
Ln(80) is the exact answer and x=4.38202663467 is an approximate answer because we have rounded the value of Ln(80)..
Check: Check your answer in the original equation.
displaymath131
The answer would be 29,112. That would be including the subtracted contribution.
Answer:
x = 13
Step-by-step explanation:
1. 4x + 1 = 8x - 51
2. 4x = 8x - 52
3. -4x = -52
4. x = 13