Which of the following are solutions to the equations below? x^2+x-20=0
2 answers:
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Answer:
The values of x and y to the given equations are x=5 and y=7
Step-by-step explanation:
Given equations are
To solve the given equations by elimination method :
Multiply the equation (1) into 2 we get
Multiply the equation (2) into 5 we get
Now subtracting the equations (3) and (4) we get
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Therefore x=5
Now substitute the value of x=5 in equation (1) we get
4(5)-5y=-15
20-5y=-15
-5y=-15-20
-5y=-35
Therefore y=7
The values are x=5 and y=7
Answer:
0
Step-by-step explanation:
We want to compute the curve integral (or line integral)
where the force field F is defined by
F(x,y) = (y, -x)
and C is the path consisting of the line segment from (1, 5) to (0, 0) followed by the line segment from (0, 0) to (0, 9).
We can write
C =
where
= line segment from (1, 5) to (0, 0)
= line segment from (0, 0) to (0, 9)
so,
Given 2 points P, Q in the plane, we can parameterize the line segment joining P and Q with
<em>r(t) = tQ + (1-t)P for 0 ≤ t ≤ 1 </em>
Hence can be parameterized as
for 0 ≤ t ≤ 1
and can be parameterized as
for 0 ≤ t ≤ 1
The derivatives are
and
In consequence,