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MArishka [77]
1 year ago
7

A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a function of time, in seconds, i

s given by
h(t) = −4.9t(squared) + 20t + 12.
How long does it take to reach maximum height? (Round your answer to three decimal places.)
Mathematics
1 answer:
attashe74 [19]1 year ago
5 0

The ball takes approximately a time of 2.041 seconds to reach its maximum height.

<h3>What time does the ball take to reach maximum height?</h3>

The height of the ball as a function of time is modelled by a <em>quadratic</em> equation, the required information can be found by transforming the expression into <em>vertex</em> form:

h = - 4.9 · t² + 20 · t + 12

h = - 4.9 · (t² - 4.082 · t - 2.449)

h + (- 4.9) · (6.615) = - 4.9 · (t² - 4.082 · t + 4.166)

h - 32.414 = - 4.9 · (t - 2.041)²

The ball takes approximately a time of 2.041 seconds to reach its maximum height.

To learn more on quadratic equations: brainly.com/question/1863222

#SPJ1

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17/4 as a mixed fraction would be 4 1/4
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Write an equation for an ellipse centered at the origin, which has foci at (0,\pm\sqrt{63})(0,± 63 ​ )left parenthesis, 0, comma
steposvetlana [31]

Answer:

\frac{x^{2} }{4312 } + \frac{y^{2} }{8281 }

Step-by-step explanation:

Since the foci are at(0,±c) = (0,±63) and vertices (0,±a) = (0,±91), the major axis is the y- axis. So, we have the equation in the form (with center at the origin) \frac{x^{2} }{b^{2} } + \frac{y^{2} }{a^{2} }.

We find the co-vertices b from b = ±√(a² - c²) where a = 91 and c = 63

b = ±√(a² - c²)

= ±√(91² - 63²)

= ±√(8281 - 3969)

= ±√4312

= ±14√22

So the equation is

\frac{x^{2} }{(14\sqrt{22}) ^{2} } + \frac{y^{2} }{91^{2} } = \frac{x^{2} }{4312 } + \frac{y^{2} }{8281 }

8 0
3 years ago
Find the equation of the line. Use exact numbers <br> y= ?x+ ?
lina2011 [118]

Answer:

y=3x+3

Step-by-step explanation:

slope is 3 because rise over run. Rise is 3 and run is 1. 3/1 is 3. and b= y-intercept and the poiunt wehre the line intercepts the y axis is 3. so your answer is y=3x+3

8 0
2 years ago
Read 2 more answers
68 * 27 - 81 + ? = 600
tankabanditka [31]

The missing term is -1155.

Step-by-step explanation:

Given expression is

68 * 27 - 81 + ? = 600

Let the missing term be x

68*27-81+x=600\\1836-81+x=600\\1755+x=600

Subtracting 1755 from both sides

1755-1755+x=600-1755\\x=-1155

Therefore,

The missing term is -1155.

Keywords: multiplication, addition

Learn more about multiplication at:

  • brainly.com/question/10364988
  • brainly.com/question/10435816

#LearnwithBrainly

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3 years ago
What are the different ways to write multiplication in math
elena-14-01-66 [18.8K]

Answer:

Different ways to write multiplication include:

3 times 5

3x5

(3)(5)

3(5)

(3)5

etc

Step-by-step explanation:

I hope this helps!

8 0
3 years ago
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