<h3>
Answer: ds/dt = 11</h3>
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Work Shown:
Before we can use derivatives, we need to find the value of s when (x,y) = (15,20)
s^2 = x^2+y^2
s^2 = 15^2+20^2
s^2 = 225+400
s^2 = 625
s = sqrt(625)
s = 25
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Now we can apply the derivative to both sides to get the following. Don't forget to use the chain rule.
s^2 = x^2 + y^2
d/dt[s^2] = d/dt[x^2 + y^2]
d/dt[s^2] = d/dt[x^2] + d/dt[y^2]
2s*ds/dt = 2x*dx/dt + 2y*dy/dt
2(25)*ds/dt = 2(15)*5 + 2(20)*(10)
50*ds/dt = 150 + 400
50*ds/dt = 550
ds/dt = 550/50
ds/dt = 11
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Side note: The information t = 40 is never used. It's just extra info.
Answer:
x= 42
y= 23
Step-by-step explanation:
Set up a system of equations like this:
(4y-9)=(3x-43)
(2x+13)=(4y+5)
when two lines cross like this they form vertical angles, and vertical angles are always equal.
calculate the system of equations and you'll get x=42 and y=23
To find the measure of any of the angles just put x or y into the equation.
I don't see anything, but any line that doensnt have the right angle sign is not perpendicular.
Ans57 , 58 , 59
Step-by-step explanation:
Answer:
3 4/5
Step-by-step explanation:
just add the whole number then add the numerator then the denominator stay the same
