3 years ago

PLEASE ANSWER THIS QUESTION IM STUCK ON THIS HELP

Mathematics

2 answers:

horrorfan [7]3 years ago

7 0

C Is the answer. You can look at the picture to know how to the problem is solved

Naddik [55]3 years ago

4 0

C is the correct answer

2x^2-2x-12

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What type of conic section is given by the equation y^2-9x^2=900 and what is the domain and range? Show your work.

Alika [10]

Answer:

Domain : x ∈ Real Numbers

Range : y ≥ 30

Step-by-step explanation:

The given equation is:

$y^2-9x^2=900$

Simplifying it

$\frac{y^2}{900}-\frac{9x^2}{900}=\frac{900}{900}\\\frac{y^2}{900}-\frac{x^2}{100}=1\\\frac{y^2}{30^2}-\frac{x^2}{10^2}=1$

Where Standard equation of parabola is:

$\frac{y^2}{a^2}-\frac{x^2}{b^2}=1$

Which are similar. Conic Section is a parabola.

<h3>Find Domain and Range:</h3>

Simplify the given equation:

$y^2-9x^2=900\\y=\sqrt{9x^2+900},y=-\sqrt{9x^2+900}\\y=3\sqrt{x^2+100},y=-3\sqrt{x^2+100}$

For whatever value of x, term under the square root always remains positive, so

Domain : x ∈ Real Numbers

For minimum value of x i.e 0, y=30. If we increase x, y also increases. So

Range : y ≥ 30

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3 years ago

Answer to this question please? :)

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The formula is pi * radius squared(or diameter) * height.

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Julia left the park on her bicycle at a rate of 0.25 miles per minute. Anthony, who was 4.5 miles away on the same path, began h

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If d is the distance from the park, and Julia and Anthony are biking toward each other, then they will meet when:

4.5-.2t=.25t

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A ball is launched into the sky at 54. 4 ft./s from a 268.8 m tall building. The equation for the ball’s height, h, at time t se

Crank

Answer:

t = 21

Step-by-step explanation:

The ball strikes the groujd when h = 0.

$-3.2t^2 + 54.4t+268.8=0 \\ \\ 32t^2 - 544t-2688=0 \\ \\ t^2 - 17t-84=0 \\ \\ (t-21)(t+4)=0 \\ \\ t=-4, 21$

Since time must be positive, t = 21.

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2 years ago