Answer:
The solution is:
Step-by-step explanation:
The first step to solve this equation is placing everything with the logarithmicto one side of the equality, and everything without the exponential to the other side. So
It already is in the desired format.
Now, we have that, since e and ln are inverse operations
So, we apply the exponential to both sides of the equality
Answer:
Its C i think
Step-by-step explanation:
To find the length of the yellow segment, we have to use Pythagorean's Theorem. But first, we have to find the length of the black line at the bottom.
Where a = 4ft and b = 9ft.
![\begin{gathered} c^2=4^2+9^2 \\ c^2=15+81 \\ c=\sqrt[]{96} \\ c\approx9.8 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20c%5E2%3D4%5E2%2B9%5E2%20%5C%5C%20c%5E2%3D15%2B81%20%5C%5C%20c%3D%5Csqrt%5B%5D%7B96%7D%20%5C%5C%20c%5Capprox9.8%20%5Cend%7Bgathered%7D)
So, the length of the black segment is 9.8 feet.
Now, we find the yellow line length
Where a = 4 and b = 6.
![\begin{gathered} c^2=4^2+6^2 \\ c^2=16+36 \\ c^2=52 \\ c=\sqrt[]{52} \\ c\approx7.2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20c%5E2%3D4%5E2%2B6%5E2%20%5C%5C%20c%5E2%3D16%2B36%20%5C%5C%20c%5E2%3D52%20%5C%5C%20c%3D%5Csqrt%5B%5D%7B52%7D%20%5C%5C%20c%5Capprox7.2%20%5Cend%7Bgathered%7D)
<h2>Therefore, the length of the yellow line is 7.2 feet.</h2>
Answer:
-3x-1y
Step-by-step explanation:
5x - 3y⇒ -2(4x-y)
⇒-2(4x - y) = -8x +2y
5x - 3y -8x + 2y
<u>Combine like terms:</u>
5x- 8x= -3x
-3y +2y = -1x
<u>-3x - 1y</u>
y/x =k
13/9 = 1.4444444
39/27=1.4444444
104/72=1.4444444
k =13/9 = 1 4/9
this is direct variation with a constant of 13/9 or 1 4/9
