Answer:
-0.69 feet per second
Step-by-step explanation:
We have dx/dt = 2 ft/sec, and we want to determine dy/dt.
x and y are related by the Pythagorean Theorem.
x²+y²=16²
Differentiate both sides of this equation with respect to t to get


Divide both sides by 2y

When x = 5 ft, we have
x²+y²=16²
5²+y²=256
y²=256-25=231
therefore
y= 

=-0.69
The top of the ladder is sliding down (because of the negative sign in the result) at a rate of -0.69 feet per second.
First, the number given in <em>g(x)</em> is 4, so look at the graph. You need to find that number that makes one of the statements true.
The true statement is at 4≤<em>x</em><8, because 4≤4, and 4<8, so replace the x on equation 0.5x+10 with 4.
0.5(4)+10
0.5 × 4 = 2
2+10 = 12
So, the value for <em>g(4)</em> is <em>12.</em>
A shape that has three more sides than a rectangle is a hexagon
Answer:
Multiply by 10.
Step-by-step explanation:
When writing a number in scientific notation, if you move the decimal point to the left 3 places, then you must multiply by 10.
Answer a because if you replace the x with -1,0, and 3, you will get 5,1,and 37.