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Montano1993 [528]
3 years ago
10

What is the solution to the system of equations graphed below?

Mathematics
1 answer:
Nana76 [90]3 years ago
4 0

Answer:  (2, -3)

Step-by-step explanation:

Look at the point where the two graphed lines cross.  

The first number in the solution is the x-value,  that is how far to the left or right you count from the center O.  2 to the right +2

The second number in the solution is the y-value, that is how fat up or down you count from the center O.   3 down is -3

When you have those two values, you express them as the "coordinates" of that point. in this case  (2, -3)

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Answer:

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Step-by-step explanation:

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If I am in Vermont, then I am in the North.
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Check attached image file.

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High School Pre Cal
krok68 [10]
We know that
1) Sandra can run a mile in 6 minutes-------> 6*60-----> 360 sec
2) 4 laps around the track equals 1 mile
so
4 laps around the track in 360 sec
1 lap in 360/4--------> 90 sec
3) the position of Sandra for t=90 sec must be equal to the point S (0,56)
I proceed to analyze each case for t=90 sec

case a) x(t)=-140 cos(pi*t/45)    y(t)=112 sin(pi*t/45)
x(t)=-140 cos(pi*90/45)------> -140
y(t)=112 sin(pi*90/45)-------> 0
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case b) x(t)=140 sin(pi*t/90)  y(t)=-112 cos(pi*t/90)

x(t)=140 sin(pi*90/90)------> 0
y(t)=-112 cos(pi*90/90)-------> 112
the position is the point (0,112)------> is not the point S
<span>
case c) x(t)=-70 sin(pi*t/45)  y(t)=56 cos(pi*t/45)
</span>x(t)=-70 sin(pi*90/45)------> 0
y(t)=56 cos(pi*90/45) -------> 56
the position is the point (0,56)------> is equal to the point S----> is the solution

case d) x(t)=70 cos(pi*t/90)  y(t)=-56 sin(pi*t/90)

x(t)=70 cos(pi*90/90)------> -70
y(t)=-56 sin(pi*90/90)-------> 0
the position is the point (-70,0)------> is not the point S

 therefore

the answer is the option C

x(t)=-70 sin(pi*t/45)  y(t)=56 cos(pi*t/45)


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13 - 5 = 8

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