Answer:
Step-by-step explanation:
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<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:
Then value is 2
Step-by-step explanation:
standard of quadratic is A
+Bx+C=0
and 2 is where C is.
sorry for the bad explanation but, trust me I did this type of question in class yesterday
Answer: Sally walked 3 minutes faster per mile
Hope it helped!
Answer:
y =-2x+8
Step-by-step explanation:
We have a point and a slope
(5,-2) and m =-2
The slope intercept form of a line is
y = mx+b
y = -2x+b
Substitute in the point
-2 = -2(5)+b
-2 = -10+b
Add 10 to each side
-2+ 10 = -10+10 +b
8 = b
The equation is
y =-2x+8
