To factor <span>54x+81 using the greatest common factor, find the GCF of 54 and 81 by listing all factors and finding the biggest.
54 - 1, 2, 3, 6, 9, 18, 27, 54
81 - 1, 3, 9, 17, 81
9 is the gcf, so factor it out.
</span><span>54x+81 = <u>9</u>(6x + 9)</span><span>
</span>
You are not going to die I will help you
![h = 5b - 2](https://tex.z-dn.net/?f=h%20%3D%205b%20-%202)
![\frac 1 2 b h= 36](https://tex.z-dn.net/?f=%5Cfrac%201%202%20b%20h%3D%2036)
![b(5b - 2) = 72](https://tex.z-dn.net/?f=b%285b%20-%202%29%20%3D%2072)
![5b^2 - 2b - 72 = 0](https://tex.z-dn.net/?f=5b%5E2%20-%202b%20-%2072%20%3D%200)
![(b - 4)(5b + 18) = 0](https://tex.z-dn.net/?f=%28b%20-%204%29%285b%20%2B%2018%29%20%3D%200)
![b = 4 \textrm{ or }b = -18/5](https://tex.z-dn.net/?f=b%20%3D%204%20%5Ctextrm%7B%20or%20%7Db%20%3D%20-18%2F5)
We can rule out the negative length.
![h = 72/b = 72/4 = 18](https://tex.z-dn.net/?f=h%20%3D%2072%2Fb%20%3D%2072%2F4%20%3D%2018)
Answer: b=4, h=18
Answer:
Step-by-step explanation:
Step1: isolate the square root on the left hand side.
Original equation :x+1=√-6x-6
Isolate :x+1=√-6x-6.
Step2: raise both sides to the second power.
(x+1)^2=(√-6x-6)^2
(x+1)(x+1)=-6x-6
Step3: after squaring, solve the quadratic equation.
x^2+2x-1=-6x-6
x^2+8x+7=0
x^2+7x+x+7=0
x(x+7)+1(x+7)=0
(x+1)(x+7)=0
x=-1,-7
Step4:check that the first solution correct.
Input x=-1 into the original equation
x+1=√-6x-6
-1+1=√+6-6
0=0
Step5:check that the second equation is correct.
Input x=-7 into the original equation
x+1=√-6x-6
-7+1=√42-6
-6=√36
-6#6
Therefore one solution is found.
x=-1
When the adding is inside the parentheses it is a horizontal shift to the left.
This affects the x - axis.
So, we take our x coordinate, 4, and subtract 3.
4 - 3 = 1
So, the new point is:
( 1, -8)