Answer:
<em>The x-coordinate is changing at 10 cm/s</em>
Step-by-step explanation:
<u>Rate of Change</u>
Suppose two variables x and y are related by a given function y=f(x). If they both change with respect to a third variable (time, for instance), the rate of change of them is computed as the derivative using the chain rule:
We have
Or, equivalently
We need to know the rate of change of x respect to t. We'll use implicit differentiation:
Solving for dx/dt
Plugging in the values x=1, y=3, dy/dt=5
The x-coordinate is changing at 10 cm/s
Answer:
64√3 ft²
Step-by-step explanation:
The short leg of the triangle has length (8 ft)(cos 60°), or (8 ft)(1/2), or 4 ft.
The long leg (represented by the dashed line) is (8 ft)(sin 60°), or
(8 ft)(√3/2), or 4√3. This is also the width of the horizontal trapezoid.
The area of this horizontal trapezoid is:
(sum of horizontal sides)
A = ------------------------------------- * (width)
2
Here, the area is:
(18 ft + (18 ft - 4 ft)
= ------------------------------------- * (4√3)
2
32 ft
= ----------- * 4√3 = 64√3 ft²
2
Answer:
option c
4x rise to power eleven plus x rise to power seven plus 3x rise to power three minus 5x plus nine.
Benny started out with 80 Baseball cards.
36 x 2 + 8
Answer: x=4
Step-by-step explanation:
add 4 to both sides.
2x= 4+4
simplify 4+4=8
2x=8
divide both sides by 2.
x= 8/2
simplify 8/2 to 4.
x=4
