Dy / dx = - Pi sin (Pix), so dy = - Pi sin (Pix) dx, for x = 1/3, and dx = -0.2
we get dy = - Pi x sin Pi/3 x (-0.2) = 3.14 x 0.2 x 0.86=0.543
Answer:
Option A would be your answer!
Step-by-step explanation:
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Let <em>a</em> be the number in the 10s place and <em>b</em> in the 1s place. Then the original two-digit number is 10<em>a</em> + <em>b</em>.
The sum of the digits is 5:
<em>a</em> + <em>b</em> = 5
Subtract 9 from the original number, and we get the same number with its digits reversed:
(10<em>a</em> + <em>b</em>) - 9 = 10<em>b</em> + <em>a</em>
Simplifying this equation gives
9<em>a</em> - 9<em>b</em> = 9
or
<em>a</em> - <em>b</em> = 1
Add this to the first equation above:
(<em>a</em> + <em>b</em>) + (<em>a</em> - <em>b</em>) = 5 + 1
2<em>a</em> = 6
<em>a</em> = 3
Then
3 - <em>b</em> = 1
<em>b</em> = 2
So the original number is 32. Just to check, we have 3 + 2 = 5, and 32 - 9 = 23.
Tree = (-4,2)
Pool = (3,4)
Ant Hill = (1,-4)
Barbecue Grill = (-5,-2)
Flowers = (0,3)
Answer:
Imagine the function y = absolute value(x). It looks like the English letter "V". The bottom of our V (i.e f(x) touches the x-axis when x = 6, so the "V" graph has been translated 6 units to the right of the origin. But when x = 6 the value of f(x) is 0-4 = -4 so the tip of the V is located 4 units below the x axis. Summary: g(x) looks like the absolute value function but is translated 6 units to the right of the origin and 4 units down
Step-by-step explanation: