2(2) + 12 = 4^(2)
4 + 12 = 16
16 = 16
only x = 2 will have f(x)=g(x) so x = 2 is answer
Answer: The radius of the circular rug is 6 meters.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
<em>Area of a circle (A) = pi r²
</em>
Where r is the radius:
Replacing with the values given:
36 pi=pi r²
Dividing both sides by pi:
36 = r²
√36= r
r = 6 meters
So, the radius of the circular rug is 6 meters.
Feel free to ask for more if needed or if you did not understand something.
9 times 9 = 81 6 times 6 =36 so 36 plus 18
Answer:
6.78ft/sec
Step-by-step explanation:
From the question, dx/dt= 3.9 ft/sec
We are looking for Dy/dt
From geometry,vof this case the relationship between x and y is needed here, there is two similar triangle that exhibited by the man and the lamb
12/y= 5.1/(y-x)
Then ,cross multiply, we have
12(y-x)=5.1y
12y-12x=5.1y
12y-5.1y=12x
6.9y=12x
y=( 12/6.9)x
Differentiating implicitly the bother sides with respect to t, we have
Dy/dt= ( 12/6.9)dx/dt
But dx/dt= 3.9 ft/sec
Then Dy/dt= ( 12/6.9)× 3.9
Dy/dt=6.78ft/sec
Hence, the rate that the tip of the person's shadow moves away from the lamppost when the person is 9 ft away from the lampost is 6.78ft/sec
CHECK THE ATTACHMENT FOR THE FIQURE