<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.
9514 1404 393
Answer:
yes
Step-by-step explanation:
The constant ratio (23 mi)/(1 gal) tells you the number of miles is a linear function of the number of gallons.
miles = (miles/gallon) × gallons
miles = constant × gallons . . . . . a linear function of gallons
A is one of them, its because they are across from each other :) pls give brainliest
Answer:
Step-by-step explanation:
The angles between the parallel sides add up to 180 degrees.
So 180-70 = 110 degrees.
Triangle, rectangles, pollygon, robtuse, i hope this is what you mean
