78500 is ur answer : ) : ) : )
55x=330. so x=6 the domain is 6 because its the input and 330 is the range because its the outpt
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
the position is the point (-140,0)------> is not the point S
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)
The system of linear equations that best represents the situation are:
z+y=18
3z +2y=44
<h3>What are the linear equations?</h3>
In order to determine the values of the two types of cheese, two set of linear equations can be formed from the question. The equations have to be solved together using either the elimination , substitution or graphical methods.
To learn more about simultaneous equations, please check: brainly.com/question/25875552
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Answer:
The x intercept is (3/2,0)
The y intercept is (0,-3)
Step-by-step explanation:
Y+5=2(x+1)
To find the x intercept, set y =0 and solve for x
0+5=2(x+1)
Distribute
5 = 2x+2
Subtract 2 from each side
5-2 =2x +2-2
3 =2x
Divide by 2
3/2 =x
The x intercept is (3/2,0)
To find the y intercept, set x =0 and solve for y
y+5=2(0+1)
y+5 = 2*1
y+5=2
Subtract 5 from each side
y+5-5=2-5
y=-3
The y intercept is (0,-3)
