Is 3/47 a rational number? If it is why?

2 answers:

7 0

3/47 is a rational number....

 a rational number is the one which can be written in the form of p/q , where p and q are real integers, and q does not equal to 0...

Hope it helps !!!

Alexandra [31]3 years ago

4 0

It is not a rational number it is irrational because the decimal doesn't terminate.

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p is the point on the line 2x+y-10=0 such that the length of OP, the line segment from the origin o to p is a minimum. find the

REY [17]

Coolio

alright, so the disatnce formula is
$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

solve for y in the equation given on top
2x+y-10=0
y=10-2x
ok
so (x1,y1)=(0,0), the first point
(x2,y2)=(x,10-2x)
so subsitute to get

$D=\sqrt{(x-0)^2+(10-2x-0)^2}$
$D=\sqrt{(x)^2+(10-2x)^2}$
$D=\sqrt{x^2+4x^2-40x+100}$
$D=\sqrt{5x^2-40x+100}$
find the miniumum
we only need to minimize what is under the square root so
take the derivitive of 5x²-40x+100
that is 10x-40
it is 0 at x=4
when x<4, the derivitive is negative
when x>4, the derivitive is positve
goes from negative to positive
so it is a minimum

at x=4
find y
y=10-2x
y=10-2(4)
y=10-8
y=2

(4,2)
find min distance

$D=\sqrt{(x-0)^2+(y-0)^2}$
$D=\sqrt{(4-0)^2+(2-0)^2}$
$D=\sqrt{(4)^2+(2)^2}$
$D=\sqrt{16+4}$
$D=\sqrt{20}$
$D=2\sqrt{5}$

the point, P, is (4,2) and the minimum distance is 2√5

5 0

3 years ago

What three numbers equal 918

Anna35 [415]

330+305+283=918

hope this helps

3 0

3 years ago

Can someone plz help me

PilotLPTM [1.2K]

the area is 254.34 sq. ft.

4 0

3 years ago