Answer:
w=20
Step-by-step explanation:
Solve for w by cross multiplying.
Step-by-step explanation:
We start by applying the Pythagorean theorem to the ladder, with its length L as the hypotenuse:
where x is the vertical distance from the top of the ladder to the ground and y is the horizontal distance from the bottom of the ladder to the wall. Taking the derivative of the above expression with respect to time, we get
Solving for dx/dt, we get
We know that
when x = 6 ft. So the rate at which the top of the ladder is going down is
The negative sign means that the distance x is decreasing as y is increasing.
Answer:
Step-by-step explanation:
(x-6)² + y²-8y = 0
Put the equation into center-radius form.
complete the square
coefficient of the y term: -8
divide it in half: -4
square it: (-4)² = 4²
add 4² to both sides to complete the square and keep the equation balanced:
(x-6)² + (y²-8y+4²) = 4²
(x-6)² + ( y-4)² = 4²
center (6,4)
radius 4
Answer:
103 ft
Step-by-step explanation: First, you find the area of the garage door as a whole (112 ft). Then, you find the area of each the three windows and add them together (their total area together is 9 ft). Lastly, you subtract this sum from the area of the whole door and the answer that you will get is 103 ft. Hope this helps :)
