Answer:
2x-1=x
2x-x=1
x=1
Step-by-step explanation:
The expressions D, E, and F represent a correct solution to the equation.
Step-by-step explanation:
Step 1:
First, we need to solve the given equation and find the value of x which satisfies the equation.
So the value of x for the given equation is -0.666.
Step 2:
Now we evaluate the values of the six given options to see which ones have an x value of -0.666.
A. 
B. 
C. 20 -6 -4 = 20 - 10 = 10.
D. 
E. 
F. 
So the options D, E, and F represent a correct solution to the given equation.
Answer:
x = 16
Step-by-step explanation:
The equation shown can be solved this way.
x^2 +(x -4)^2 = 20^2
x^2 +x^2 -8x +16 = 400
2x^2 -8x -384 = 0
x^2 -4x -192 = 0
(x -16)(x +12) = 0
The positive solution is ...
x = 16
_____
Since this makes use of the Pythagorean theorem, you've probably run across the 3-4-5 triangle. You often find scaled versions of it in algebra and geometry problems. Here, it is scaled by a factor of 4 to give a 12-16-20 triangle as half of the display screen.
The 3-4-5 triple is the only Pythagorean triple that is an arithmetic sequence. So, if the difference in side lengths is 4 and the diagonal is 5×4, you can be pretty certain that x = 4×4 and x-4 = 4×3.
15 into thirds would be 15 divided by three. This would be 5. If you take 14 and divide it in half you get 7. Then subtract 5 from 7 and you get 2. The answer is 2.
