(x²+4x+4)-4+(y²-6y+9)-9=-4
(x+2)²+(y-3)²=9
(x+2)²+(y-3)²=3²<span>
Circles follow the form: (x-a)+(y-b)=r</span><span>²
</span><span>Therefore the center of the circle is at (-2,3)
and the radius is 3.</span>
the answer is 30+4+.1+.02+.007
Answer:
B .3.5 points of coffee did he drink
hope it helps
Answer:
(4x+5)/[(x-1)(x-2)]
Step-by-step explanation:
(4x+5)/(x^2-3x+2)
factor out the trinomial x^2-3x+2 first,
find two numbers that when they multiply, you get the third term, which is 2 in this case. And when they add up, you get the second term, which is -3 in this case. x^2-3x+2=(x-1)(x-2)
If x is the distance the base of the ladder is from the wall, and y is the distance to top of the ladder is up the wall, then the Pythagorean theorem tells you
... x² + y² = 10²
Differentiating with respect to time, we have
... 2x·dx/dt + 2y·dy/dt = 0
... dy/dt = (-x/y)·dx/dt
We are given x = 6 ft and dx/dt = 3 ft/s. Using the first equation, we can find y as
... y = √(10² -6²) = 8
Then
... dy/dt =(-6/8)·(3 ft/s)
... dy/dt = -2.25 ft/s
The top of the ladder is sliding down the wall at -2.25 ft/s.