Answer:
idk
Step-by-step explanation:
idkkkkkkkkkkkkkk
with the pythagorean theorem
![\begin{gathered} (4+3x)^2=x^2+(3+3x)^2 \\ 16+24x+9x^2=x^2+9+18x+9x^2 \\ 16+24x+9x^2=10x^2+18x+9 \\ 16+24x+9x^2-9=10x^2+18x+9-9 \\ 9x^2+24x+7=10x^2+18x \\ 9x^2+24x+7-18x=10x^2+18x-18x \\ 9x^2+6x+7=10x^2 \\ 9x^2+6x+7-10x^2=10x^2-10x^2 \\ -x^2+6x+7=0 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%284%2B3x%29%5E2%3Dx%5E2%2B%283%2B3x%29%5E2%20%5C%5C%2016%2B24x%2B9x%5E2%3Dx%5E2%2B9%2B18x%2B9x%5E2%20%5C%5C%2016%2B24x%2B9x%5E2%3D10x%5E2%2B18x%2B9%20%5C%5C%2016%2B24x%2B9x%5E2-9%3D10x%5E2%2B18x%2B9-9%20%5C%5C%209x%5E2%2B24x%2B7%3D10x%5E2%2B18x%20%5C%5C%209x%5E2%2B24x%2B7-18x%3D10x%5E2%2B18x-18x%20%5C%5C%209x%5E2%2B6x%2B7%3D10x%5E2%20%5C%5C%209x%5E2%2B6x%2B7-10x%5E2%3D10x%5E2-10x%5E2%20%5C%5C%20-x%5E2%2B6x%2B7%3D0%20%5Cend%7Bgathered%7D)
using the formula of the quadratic equation
![\begin{gathered} x_{1,\: 2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ x1=\frac{-6+\sqrt{6^2-4\left(-1\right)\cdot\:7}}{2\left(-1\right)}=-1 \\ x2=\frac{-6-\sqrt{6^2-4\left(-1\right)\cdot\:7}}{2\left(-1\right)}=7 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x_%7B1%2C%5C%3A%202%7D%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D%20%5C%5C%20x1%3D%5Cfrac%7B-6%2B%5Csqrt%7B6%5E2-4%5Cleft%28-1%5Cright%29%5Ccdot%5C%3A7%7D%7D%7B2%5Cleft%28-1%5Cright%29%7D%3D-1%20%5C%5C%20x2%3D%5Cfrac%7B-6-%5Csqrt%7B6%5E2-4%5Cleft%28-1%5Cright%29%5Ccdot%5C%3A7%7D%7D%7B2%5Cleft%28-1%5Cright%29%7D%3D7%20%5Cend%7Bgathered%7D)
the length cannot be negative, therefore x=7
length of the shorter leg is: 7ft
length of the longer leg is: 3+3(7)= 24ft
length of the hypotenuse is: 4+3(7)= 25ft
Answer:
8.94 m
Step-by-step explanation:
Use the Pythagorean Theorum -
. Use leg 1 as <em>a</em>, leg 2 as <em>b</em>, and the third side as <em>c</em>.
We know leg 1 is 4, and that leg 2 is twice as long as leg 1...
![(4)^2 + (4*2)^2 = c^2](https://tex.z-dn.net/?f=%284%29%5E2%20%2B%20%284%2A2%29%5E2%20%3D%20c%5E2)
Now, we use the Order of Operations to find
...
![4^2+8^2=c^2\\16+64=c^2\\80=c^2](https://tex.z-dn.net/?f=4%5E2%2B8%5E2%3Dc%5E2%5C%5C16%2B64%3Dc%5E2%5C%5C80%3Dc%5E2)
Now, we find the square root of
to find c...
![\sqrt{80} =8.94](https://tex.z-dn.net/?f=%5Csqrt%7B80%7D%20%3D8.94)
So, the length of the third side is 8.94 m.
Complentary angle = 90 degrees
90 - 16 = your answer
The answer is x=1
x^5=1
x=5[square]1
x=1