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Ivahew [28]
3 years ago
9

For 1-16, use place value or a number line to round each number to the place of the underlined digit.

Mathematics
1 answer:
wolverine [178]3 years ago
4 0
Non of them are underlined!
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D. You substitute 0 for x
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Please help!! Use the coordinates of the plotted points to complete the calculation below. Pay attention to negative signs!! Wha
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-1

Step-by-step explanation:

Use the formula for slope: (y1-y2)/(x1-x2)

(2-4)/(3-1)=-2/2=-1

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The top of a ladder rests at a height of 15 feet against the side of a house.If the base of the ladder is 6 feet from the house,
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Which statement best describes the area of Triangle ABC shown below?
PolarNik [594]

Answer:

it is half the area of a square of side length 8

Step-by-step explanation:

area of a square = l × b

= 8 × 8

= 64 cm^2

area of a triangle = b × h ÷ 2

= 8 × 8 ÷ 2

= 64 ÷ 2

= 32 cm^2

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3 years ago
Find the x-coordinates where f '(x) = 0 for f(x) = 2x - sin(2x) in the interval [0, 2π].
Serggg [28]

Answer:

The x-coordinates where f '(x) = 0 for f(x) = 2x - sin(2x) in the interval [0, 2π] are: x=0, π, and 2π.


Step-by-step explanation:

f(x)=2x-sin(2x)

f'(x)=[f(x)]'

f'(x)=[2x-sin(2x)]'

f'(x)=(2x)'-[sin(2x)]'

f'(x)=2-cos(2x) (2x)'

f'(x)=2-cos(2x) (2)

f'(x)=2-2 cos(2x)


f'(x)=0, then:

2-2 cos(2x)=0

Solving for x. First solving for cos(2x): Subtracting 2 from both sides of the equation:

2-2 cos(2x)-2=0-2

-2 cos(2x)=-2

Dividing both sides of the equation by -2:

-2 cos(2x) / (-2)=-2 / (-2)

cos(2x)=1

If cos(2x)=1, then:

2x=2nπ

Dividing both sides of the equation by 2:

2x/2=2nπ/2

x=nπ


If n=-1→x=-1π→x=-π, and -π is not in the interval [0,2π], then x=-π is not in the solution.

If n=0→x=0π→x=0, and 0 is in the interval [0,2π], then x=0 is in the solution.

If n=1→x=1π→x=π, and π is in the interval [0,2π], then x=π is in the solution.

If n=2→x=2π, and 2π is in the interval [0,2π], then x=2π is in the solution.

If n=3→x=3π, and 3π is not in the interval [0,2π], then x=2π is not in the solution.


Solution: x=0, π, and 2π.

5 0
3 years ago
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