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3 years ago

Line l has a slope of 1.2. What is the slope of line p that is parallel to line l

Mathematics

1 answer:

Katena32 [7]3 years ago

3 0

The slope would be 1.2. If they are parallel lines, they have the same slope. :)

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zepelin [54]

Answer:

314 mile²

Step-by-step explanation:

area = πr² = 3.14 x 10² = 314 mile²

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3 years ago

At what values of x does f(x) = x^3 - 2x^2 -4x+1 satisfy the mean value theorwm on [0,1]

denis-greek [22]

Answer:

x=1/3

Step-by-step explanation:

A function f is given as

$f(x) = x^3-2x^2-4x+1$ in the interval [0,1]

This function f being an algebraic polynomial is continuous in the interval [0,1] and also f is differntiable in the open interval (0,1)

Hence mean value theorem applies for f in the given interval

$f(1) = 1-2-4+1 = -4\\f(0) = 1$

The value

$\frac{f(1)-f(0)}{1-0} =\frac{-4-1}{1} =-5$

Find derivative for f

$f'(x) = 3x^2-4x-4$

Equate this to -5 to check mean value theorem

$3x^2-4x-4=-5\\3x^2-4x+1=0\\\\(x-1)(3x-1) =0\\x= 1/3 : x = 1$

We find that 1/3 lies inside the interval (0,1)

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3 years ago

You use 8 cups of flour to make 24 muffins at that rate how much flour will it take to make 30 muffins

Anettt [7]

10 cups of flour total. (8x30)/24

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3 years ago

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What is the value of q in the equation 5q-10=75

Alex

Answer:

q=17

Step-by-step explanation:

5q-10=75

add 10 to both sides to cancel out -10 on the left side

5q-10+10=75+10

5q=85

divide both sides by 5 to get rid of the 5 in 5q

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resulting in:

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Step-by-step explanation:

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