Is there supposed to be an x before 4x?
Answer:
C: 1.5
Step-by-step explanation:
For point D, the y value goes from 4 -> 6. This means that 4x = 6 , 
.
For point F, both values (x and y) are multiplied by 1.5.
Simplifying
(0.75x + 6) + -1(2.5x + -1.9) = 0
Reorder the terms:
(6 + 0.75x) + -1(2.5x + -1.9) = 0
Remove parenthesis around (6 + 0.75x)
6 + 0.75x + -1(2.5x + -1.9) = 0
Reorder the terms:
6 + 0.75x + -1(-1.9 + 2.5x) = 0
6 + 0.75x + (-1.9 * -1 + 2.5x * -1) = 0
6 + 0.75x + (1.9 + -2.5x) = 0
Reorder the terms:
6 + 1.9 + 0.75x + -2.5x = 0
Combine like terms: 6 + 1.9 = 7.9
7.9 + 0.75x + -2.5x = 0
Combine like terms: 0.75x + -2.5x = -1.75x
7.9 + -1.75x = 0
Solving
7.9 + -1.75x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7.9' to each side of the equation.
7.9 + -7.9 + -1.75x = 0 + -7.9
Combine like terms: 7.9 + -7.9 = 0.0
0.0 + -1.75x = 0 + -7.9
-1.75x = 0 + -7.9
Combine like terms: 0 + -7.9 = -7.9
-1.75x = -7.9
Divide each side by '-1.75'.
x = 4.514285714
Simplifying
x = 4.514285714
To solve this problem you must apply the proccedure shown below:
1. You have the following information given in the problem above:
- x²+y²<span>=74
xy=35
2. Therefore, you have that (x-y)</span>² is:
=(x-y)²
=x²-2xy+y²
=(x²+y²)-2xy
3. When you substitute the values given in the problem, you obtain:
=74-2(35)
=74-70
=4
4. Therefore, as you can see, the correct answer is: 4
