Sylvie finds the solution to the system of equations by graphing. y = x + 1 and y = x – 1 Which graph shows the solution to Sylv
ie’s system of equations?
1 answer:
Graphs of y = x+- 1 and of y = x - 1 are shown in the figure below.
The intersection of the two graphs is the solution for the two equations.
Answer:
There is no solution.
Explanation:
It is clear that the two lines are parallel and will never intersect.
Note that the equation for a straight line is of the form
y = mx + b
where
m = slope,
b = y-intercept.
y = x + 1 has slope of m=1.
y = x - 1 has slope of m=1.
The two slopes are equal.
Because parallel lines do not intercept, there is no solution.
The intersection of the two graphs is the solution for the two equations.
Answer:
There is no solution.
Explanation:
It is clear that the two lines are parallel and will never intersect.
Note that the equation for a straight line is of the form
y = mx + b
where
m = slope,
b = y-intercept.
y = x + 1 has slope of m=1.
y = x - 1 has slope of m=1.
The two slopes are equal.
Because parallel lines do not intercept, there is no solution.
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the second duckling is wandering by 2.6 units distance than the first duckling .
<u>Step-by-step explanation:</u>
Here we have , Two ducklings wander away from the nest while their mother is away. The first duckling's displacement (distance and direction) from the nest is (12,5) The second duckling's displacement is (13,-8) . We need to find How much farther did the second duckling wander than the first duckling. Let's find out:
Let a = (12,5) and b =(13,-8)
The distance each duckling wandered is the magnitude of its displacement vector. Therefore, the expression Distance second duck wandered is given by :
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⇒
⇒
⇒
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Therefore , the second duckling is wandering by 2.6 units distance than the first duckling .