The equations are both the same with a slope of 2 and y-intercept of 3.
<h3>Solution to system of equation</h3>
A line is the distance between two points. Given the equations below;
2y - 4x = 6
y = 2x + 3
___________
y - 2x = 3
y = 2x + 3
The equations are both the same with a slope of 2 and y-intercept of 3. The graph of the equation is plotted below.
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Answer: -2x + 5x^2
Step-by-step explanation:
3x + 6x^2 - 5x - x^2 = x(3-5) + x^2(6-1) = -2x + 5x^2
Assuming that the answer choices read that two segments are parallel to each other than the answer is:
GH is parallel to FE
The y-intercept of the line is +5
Y= mx + b
The b is a variable that indicates where the line will pass through on the y-axis
Answer:
The maximum length of the second piece is 61.5 ft.
Step-by-step explanation:
We know that the rope is 100 ft long.
There are three pieces that make up the 100 ft. The first is length x, the second is three times as long as the first, so it would be 3x, and the third is 18ft.
So if we were to write this as an equation it would look something like this: x + 3x + 18 = 100. We can simplify this some more.
4x + 18 = 100
4x = 82
x = 20.5
Now that we know the length or the first piece / x. We can easily find the length of the second (3x) by plugging in 20.5 for x.
We find that the maximum length of the second piece of rope is 61.5 feet.
Good luck, hope that helps!
