Derive the system of linear equations from the given above,
y = mx + b
From the given,
110 = m(2) + b
220 = m(4) + b
From the system, the value of m is equal to 55 and b is equal to 0. Therefore, after 5 hours, the car travels (55 m/s) x 5 s = 275 meters.
Answer:
Step-by-step explanation:
to solve this system of equations we will add them
x-3y=-12
2x+3y=3 now +3y-3y=0
3x=-12+3
3x=-9
x=-3
plug in the first equation
-3-3y=-12
-3y=-12+3
-3y=-9
y=3
The arithmetic sequence is the first one.
Answer:
The point is in Quadrant IV.
Step-by-step explanation:
In 4th quadrant, the abscissa is positive and the ordinate is negative. Thus, (-4,7) lies in the 3rd quadrant. (4,7) lies in the 1st quadrant.
Answer:
k=2
Step-by-step explanation:
3^k*2 * 3^-k+2 = 81
Factor out 81 to be : 3^4
Rewrite the equation:
k*2 - k+2 = 4
k^2 - 2k = 4
Simplify : k+2 = 4
<u> - 2 - 2</u>
k = 2