2z is the point I hope it’s right
Answer:
the horizontal distance is increasing at a rate of 4.953 in/s
Step-by-step explanation:
since the rod is leaning up against the wall and its length L is constant , then the relationship between y ( vertical distance ) , x (horizontal distance ) and L is
x² + y² = L²
then using derivatives with respect to the time t in both sides of the equation
2*x*dx/dt + 2*y*dy/dt = 0
dx/dt = y/x*dy/dt
since we know that x² + y² = L² → x= √(L² -y²) , then
dx/dt = -y/√(L² -y²)*dy/dt
replacing values
dx/dt = -153 in /√[(165 in)² -(153 in)²]* (-2 in/s) = 4.953 in/s
therefore the horizontal distance is increasing at a rate of 4.953 in/s
d = 5,000 mi the distance between the missiles
v1 = 2,000 mph the rate of the first missile
v2 = 1,000 mph the rate of the second missile
t = 1 min = 1/60 hr
Since distance = speed*time the distance 1 minute before the impact is:
v1t + v2t = t(v1 + v2) = (1/60)(2,000 + 1,000) = 50 miles.
Think of it like this: imagine a frog on some lily pads and if it hops left it gets smaller(negative) and if it hops right it gets bigger(positive) ,(but think of it like numbers) so -14-5 think about the -14 being way down at the left and then you add on the (-5) since the number you are adding is negative it is getting smaller (going farther away from the zero, not closer) so when you add a negative to a negative number you get smaller instead of bigger. Hope that helps
Answer:
x=-1
Step-by-step explanation:
given 
-2=0
=2
x+3=+2
x=-1, also, x+3=-2
x=-2-3=-5
hence x=-1 , -5 answer
