I need help with this problem

Mathematics

1 answer:

Oksanka [162]3 years ago

3 0

The answers is bellemont

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Find the distance from P to l.

ki77a [65]

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$Point-line\ distance\\l:Ax+By+C=0;\ (x_0;\ y_0)\\\\d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+B^2}}\\\\x+y+2=0\to A=1;\ B=1;\ C=2\\(1;\ 2)\to x_0=1;\ y_0=2\\subtitute\\\\d=\dfrac{|1\cdot1+1\cdot2+2|}{\sqrt{1^2+1^2}}=\dfrac{|1+2+2|}{\sqrt2}=\dfrac{|5|}{\sqrt2}=\dfrac{5}{\sqrt2}=\dfrac{5\cdot\sqrt2}{\sqrt2\cdot\sqrt2}\\\\=\boxed{\dfrac{5\sqrt2}{2}}$

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3 years ago

Does (lnk)/(k^3), where as k starts at one and continues on to infinity, converge? ...?

max2010maxim [7]

Yes. The numerator does not increase as fast as the denominator increases, causing the function's value to decrease with every subsequent increase in the value of k. This causes the function to converge at a point.

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3 years ago

Tyrone is buying candy by the pound to stuff into a piñata. Her purchased 14 pounds of candy for $12. How much is the cost of on

Deffense [45]

I believe the answer is

26

sorry if wrong

if not an answer choice then 168.

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3 years ago

Al uses a box in the shape of a rectangular prism as shown in the diagram to for his coin collection.

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Answer:

4 x 8.5 x 12.5 =425 (multiple hight x width x length)

The volume of the box is $425in^{3}$