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3 years ago

Help geometry question

Mathematics

1 answer:

loris [4]3 years ago

6 0

Answer: x=16 t=5

Step-by-step explanation:

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On a survey eight students reported how many minutes it takes them to travel to school here are there responses 9, 11, 3, 14, 14

Triss [41]

Hi!

The answer to your question is 9.75 minutes

Here is the math to prove it:

9+11+3+14+14+7+14+6=78

Now you will take 78 and divide it by 8

This is because when finding the mean you add all of the given number together and then divide them by the amount of number added together.

78/8=9.75

Thus, your answer is 9.75 minutes

I hope this helped!

Have a wonderful day/night!

God bless!

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2 years ago

What is the completely factored form of the expression 16x2 + 8x + 32?

Pachacha [2.7K]

The app photo math is really awesome,
I Hope this Helps!

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3 years ago

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Pls simplify this for me

strojnjashka [21]

Answer:

I think the answer is c but I didn’t simplify bc I don’t know what you mean

Step-by-step explanation:

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2 years ago

Total pay before deductions is known as . net pay gross pay total pay

Effectus [21]

Gross pay.................

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3 years ago

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How do you find a vector that is orthogonal to 5i + 12j ?

Rashid [163]

$\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad \cfrac{a}{b}\\\\
slope=\cfrac{a}{{{ b}}}\qquad negative\implies -\cfrac{a}{{{ b}}}\qquad reciprocal\implies - \cfrac{{{ b}}}{a}\\\\
-------------------------------\\\\$

$\bf \boxed{5i+12j}\implies 
\begin{array}{rllll}
\ \textless \ 5&,&12\ \textgreater \ \\
x&&y
\end{array}\quad slope=\cfrac{y}{x}\implies \cfrac{12}{5}
\\\\\\
slope=\cfrac{12}{{{ 5}}}\qquad negative\implies -\cfrac{12}{{{ 5}}}\qquad reciprocal\implies - \cfrac{{{ 5}}}{12}
\\\\\\
\ \textless \ 12, -5\ \textgreater \ \ or\ \ \textless \ -12,5\ \textgreater \ \implies \boxed{12i-5j\ or\ -12i+5j}$

if we were to place <5, 12> in standard position, so it'd be originating from 0,0, then the rise is 12 and the run is 5.

so any other vector that has a negative reciprocal slope to it, will then be perpendicular or "orthogonal" to it.

so... for example a parallel to <-12, 5> is say hmmm < -144, 60>, if you simplify that fraction, you'd end up with <-12, 5>, since all we did was multiply both coordinates by 12.

or using a unit vector for those above, then

$\bf \textit{unit vector}\qquad \cfrac{\ \textless \ a,b\ \textgreater \ }{||\ \textless \ a,b\ \textgreater \ ||}\implies \cfrac{\ \textless \ a,b\ \textgreater \ }{\sqrt{a^2+b^2}}\implies \cfrac{a}{\sqrt{a^2+b^2}},\cfrac{b}{\sqrt{a^2+b^2}}
\\\\\\
\cfrac{12,-5}{\sqrt{12^2+5^2}}\implies \cfrac{12,-5}{13}\implies \boxed{\cfrac{12}{13}\ ,\ \cfrac{-5}{13}}
\\\\\\
\cfrac{-12,5}{\sqrt{12^2+5^2}}\implies \cfrac{-12,5}{13}\implies \boxed{\cfrac{-12}{13}\ ,\ \cfrac{5}{13}}$

4 0

3 years ago