Answer:
Infinite solutions or all real numbers
Step-by-step explanation:
divide the bottom equation by 2 then....
-3x +1/3 (9x + 36) = 12
-3x + 3x + 12 = 12 (distribute the 1/3 to the terms in the parentheses)
12 = 12
Infinite solutions
12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 479,001,600
I recommend you use this as a starter. I can't be completely sure if it's right. I hope it helps though! Good luck!
The answer is b.
The length of the rectangle is 3w-150.
The width is w.
To get area you multiply length and width so w(3w-150)=70,200. The numbers in parentheses is the length.
You use distributive property and distribute the w to get 3w^2-150w=70,200.
You can simplify the equation by dividing both sides by 3 to get w^2-50w=23,400.
Then you get all the numbers on the left side of the equation by subtracting 23,400 to get w^2-50w-23,400=0.
Now that the equation equals zero, you can factor it to get (w+130)(w-180)=0.
Then you find the values for x with each factor which are x=-130 or x=180.
We would use the positive value for x because it is area.
You substitute 180 for x in 3w-150 and you would get 390.
Answer:
m∠STU = 20 °
Step-by-step explanation:
Since the line bisects the angle, we have that the two bisected angles are equal
Thus, mathematically;
x + 2 = x/4 + 8
Multiply through by 4
4x + 8 = x + 32
4x-x = 32-8
3x = 24
x = 24/3
x = 8
So to find the value of the original angle, we input 8 into each of the bisected angles and add together
mathematically, that will be ;
10 + 10 = 20
