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Anika [276]
3 years ago
9

What is the length of the line segment with endpoints (−3,8)(−3,8) and (7, 8)(7, 8) ????????

Mathematics
1 answer:
Ymorist [56]3 years ago
8 0
Lenght=√((7-(-3))^2+(8-8)^2)=√((10)^2)=10

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If g(x)= square root of 3-5x, find the domain of g'(x).
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Answer:

domain: x>3/5

Step-by-step explanation:

First we need to derive our function g(x) to get a new function g'(x)

To do this we will have to apply chain rule because we have an inner and outer functions.

Our G(x) = square root(3-5x)

Chain rule formula states that: d/dx(g(f(x)) = g'(f(x))f'(x)

where d/dx(g(f(x)) = g'(x)

g(x) is the outer function which is x^1/2

f(x) is our inner function which is 3-5x

therefore f'(x)= 1/2x^(-1/2) and f'(x) = -5

g'(f(x)) = -1/2(3-5x)^(-1/2)

Applying chain rule then g'(x) = 1/2 (3-5x)^(-/1/2)*(-5)

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In this case it will be 3-5x > 0, because 3-5x is a denominator and anything divide by zero is infinity/undefined

which gives us x >3/5

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