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d1i1m1o1n [39]
3 years ago
12

PLEASE HELP ILL GIVE BRAINLIEST

Mathematics
1 answer:
cluponka [151]3 years ago
6 0

Answer:

\displaystyle f(x)=\frac{1}{x(x-3)}

Option C.

Step-by-step explanation:

<u>Asymptotes Of A Rational Function</u>

We can easily recognize if x=a is a vertical asymptote of a given function f(x) because its graph tends to quickly increase or decrease getting closer to the vertical line x=a but never actually touching it.

We can see in the graph provided, there are two vertical lines, one at x=0 and the other at x=3 (assuming the x-scale is 2). It means the denominator tends to zero at both of those values, i.e. there must be factors like (x-0)(x-3)=x(x-3). The only option with these characteristics is the last one

\boxed{\displaystyle f(x)=\frac{1}{x(x-3)}}

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Answer:

The angle between [A_F] and the base of the cone = 68.2°

The area of the base of the cone ≈ 12.57 m²

Step-by-step explanation:

The given parameters are;

The height of the cone = 5 m

The base radius of the cone  = 2 m

The angle which the A\hat OC = 120°

Therefore, we have;

The angle between [A_F] and the base of the cone = The angle between [CF]  and the base of the cone

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∴ The angle between [A_F] and the base of the cone = The angle between [CF]  and the base of the cone = 68.2°

The angle between [A_F] and the base of the cone = 68.2°

The area of the base of the cone = π × r² = π × 2² = 4·π ≈ 12.57

The area of the base of the cone ≈ 12.57 m².

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3 years ago
A line segment has the endpoints P(0, –6) and Q(–3, –7). Find the coordinates of its midpoint M.
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Step-by-step explanation:

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Answer:

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The point that crosses the y-axis is called the y-intercept of the line.

We are given an equation of the line and we need to determine the y-intercept. This can be done by determining the constant in the equation.

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Constants are such terms that include only numbers. There should be no variables in constants.

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     \bullet \ \text{Given equation of line: y = 5x + 7}

The constant we can see in the equation is "7". Therefore, the y-intercept is 7.

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