Answer: 30 feet per second
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x = diameter, y = speed of water
y varies inversely with respect to x, so, y = k/x for some constant k
If x = 0.6 and y = 5 pair up, then y = k/x turns into 5 = k/0.6 which solves to k = 3 when you multiply both sides by 0.6
So the equation y = k/x turns into y = 3/x
Now plug in the diameter x = 0.1 to find the speed to be...
y = 3/x
y = 3/0.1
y = 30 feet per second
Answer: 22 units.
Step-by-step explanation:
Here FSB and ZDR are two triangles.
In which, FS = 38 unit, FB = 55 unit, ZD = 15.2 unit and ZR = x unit.
Also, 
Thus, By the property of similarity,
⇒ 
⇒ 
⇒ 
⇒ 
Thus, ZR = 22 unit.
Answer:
A clockwise rotation.
Step-by-step explanation:
The rule for 90 degree clockwise rotation is (x,y) turns into (y,-x) therefore if you use your numbers (2,-6) and then use the 90 degree clockwise rotation rule it becomes (-6,-2)
Answer:
y=5x-10
Step-by-step explanation:
y+10=5x
y=5x-10
Answer:
a) f g(x) = x³ - 5 x² + x -5
b) g(f(x) = x³ - 5 x² + x -5
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that f(x) = x² + 1 and g(x) = x-5
a)
f(g(x)) = f(x-5) = (x-5)²+1 = x² - 10x +25 +1 = x² - 10 x +26
<u><em>Step(ii):-</em></u>
a) f g(x) = f(x) g(x) = (x² + 1 )(x-5) = x³ - 5 x² + x -5
b) g(f(x) = g(x) f(x) = (x-5) (x²+1) = x³ - 5 x² + x -5
