Answer:y=-1/2
Step-by-step explanation:
125=(1/25)^(y-1)
5^3=(5^(-2))^(y-1)
5^3=5^(-2(y-1))
The same base eliminate each other we then have
3=-2(y-1)
3=-2y+2
Collect like terms
2y=2-3
2y=-1
Divide both sides by 2
2y/2=-1/2
y=-1/2
Answer:
x = 10, AB = 57
Step-by-step explanation:
In a trapezoid, the length of the median is one-half the sum of the lengths of the bases. From this, we have:





Remember that c is the initial height. Since we the rocket is in a 99-foot cliff, c=99. Also, we know that the velocity of the rocket is 122 ft/s; therefore v=122
Lets replace the values into the the vertical motion formula to get:

Notice that the rocket hits the ground at the bottom of the cliff, which means that the final height is 99-foot bellow its original position; therefore, our final height will be h=-99
Lets replace this into our equation to get:


Now we can apply the quadratic formula

where a=-16, b=122, and c=198


or


or


or

Since the time can't be negative, we can conclude that the rocket hits the ground after 9 seconds.
They equal the same so I’m pretty sure it has no solution x