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
From the equation of motion, we know,
Where s= displacement
u= initial velocity
a= gravitational force
t= time
Displacement is 0 since the ball comes back to the same point from where it was thrown.
A = 
since the ball is thrown upwards.
Plug the known values into the equation.
=> 
Solving for u gives :
u= 16.67 m/ sec ....... equation (1)
At maximum height, final velocity i.e v is 0
Time take to reach the top = 
=> 
Solving for s we get
s= 14.16 m
Answer:
y= -3/4x-2
Step-by-step explanation:
- perpendicular: opposite signs and reciprocal
m= -3/4
point-slope form: y-y1=m(x-x1)
y-(-1)= -3/4(x-(-4))
y+1= -3/4(x+4)
y+1= -3/4x -3
y= -3/4x-2
Answer:
6y³ + 17y² + 22y + 15
Step-by-step explanation:
(2y + 3)(3y² + 4y + 5)
6y³ + 8y² + 10y + 9y² + 12y + 15
6y³ + 8y² + 9y² + 10y + 12y + 15
6y³ + 17y² + 22y + 15
A=pie×radius squared is the area formula of a circle. The circumference formula or a circle is C=pie×diameter. 615.75=(3.14)(radius) squared. Divide both sides by the 3.14. What ever 615.75 divided by 3.14 is-is radius squared. The square root is your radius. The radius is half the diameter, so double what you have right now as the radius to get the diameter. Now since C=pie×diameter, your circumference is your pie×your diameter. Whatever your answer is-is your circumference.
