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3 years ago

What is 5/12 plus 1/3? I'm confused because the denominator has to be 36.

1 answer:

3 0

The denominator doesn't really have to be 36. An easier way(for me, anyway) would be to convert 1/3 into 4/12 by multiplying the top and bottom by 4. Then, add 5/12 and 4/12 to get 9/12, which simplifies to 3/4 when you divide the top and the bottom by 3.

Another way is to multiply the top and the bottom of the first fraction by the denominator of the second, and multiply the top and the bottom of the second fraction by the denominator of the first(I'm using "denominator" and "bottom" the same, by the way). So, multiply the top and bottom of 5/12 by 3 to get 15/36. Then, multiply the top and bottom of 1/3 by 12 to get 12/36. Then, add 15/36 and 12/36 to get 27/36, which simplifies to 3/4 when you divide the top and the bottom by 9.

The first way only works when one of the denominators(3) is a factor of the other(12). The second way works every time. That's probably why the denominator had to be 36; your teacher wanted you to do it the way that always works.

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A baseball is hit and its height is given by h = 29.4t – 4. 9t^2, where h is the

ioda

Answer:

44.1m

Step-by-step explanation:

we are given a quadratic function which represents the height and time of a baseball

$\displaystyle h = 29.4t - 4.9 {t}^{2}$

we want to figure out maximum height of

the baseball

since the given function is a quadratic function so we have a parabola

which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)

to do so we can use some special formulas

recall that,

$\displaystyle \rm t= \frac{ - b}{ 2a}$

$\displaystyle H_{\text{max}}=f(t)$

notice that, our given function is not in standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

let's make it so

$\displaystyle h = - 4.9 {t}^{2} + 29.4t$

therefore we got

our <em>a</em> is -4.9 and <em>b </em>is 29.4

so substitute:

$\displaystyle\rm t= \frac{ -( 29.4)}{ 2 \cdot - 4.9}$

remove parentheses and change its sign:

$\displaystyle\rm t= \frac{ -29.4}{ 2 \cdot - 4.9}$

simplify multiplication:

$\displaystyle\rm t= \frac{ -29.4}{ - 9.8}$

simplify division:

$\displaystyle \: t = 3$

so we have figured out the time when the baseball will reach the maximum height

now we have to figure out the height

to do so

substitute the got value of time to our given function

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot {3}^2$

simplify square:

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot 9$

simplify mutilation:

$\displaystyle H_{\text{max}}=88.2-44.1$

simplify substraction:

$\displaystyle H_{\text{max}}=44.1$

hence,

the maximum height of the baseball is 44.1 metres

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uranmaximum [27]

Answer:

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Step-by-step explanation:

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I could be wrong here so

Here's a little tip:

I can tell you're using G.oogle Forms, so you can press ctrl + U and find the answers in the code

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