Answer:
Step-by-step explanation:
For this case we have the following expression:
(1)
And we want to find the value of ln K. If we apply natural log on both sides of the equation (1) we got:
Using the following property:
for x and y real numbers, x>0, y>0, then we have:
Now since the natural log and the exponentiation are inverse operations we have this:
And then the final expression for ln K is :
Factors of a number are integers that when multiplied together will equal the original number
Example: Factors of 36
1,2,3,4,6,9,12,18,36
1x36 = 36
2x18=36
3x12=36
4x9=36
6x6=36
7=7, 14, ,21, 28
3= 3, 6, 9, 12, 15, 18, 21, 24
So the LCM of 7 and 3 is 21.
Answer:
Answer:
28+66+86=180
180=180
Step-by-step explanation:
Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°
Write the equation
\begin{gathered}x+(2x+10)+(3x+2)=180\\\end{gathered}
x+(2x+10)+(3x+2)=180
Simplify left side of the equation
\begin{gathered}6x+12=180\\\end{gathered}
6x+12=180
Solve equation for x
\begin{gathered}6x=180-12\\6x=168\\x=28\end{gathered}
6x=180−12
6x=168
x=28
Replace x into the 3 angles and find their respectives values
\begin{gathered}A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86\end{gathered}
A=x
A=28
B=2x+10
B=2∗28+10
B=56+10
B=66
C=3x+2
C=84+2
C=86
Check if the answers are correct
\begin{gathered}28+66+86=180\\180=180\end{gathered}
28+66+86=180
180=180
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Answer: Yes
Step-by-step explanation:
Each value of y maps onto one value of x.
