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Mathematics 14 Online
OpenStudy (anonymous):

I NEED HELP. PLEASE?? What is the value for x in the proportion http://learn.flvs.net/webdav/assessment_images/educator_algebra1_v14/10_19_44.jpg

OpenStudy (john_es):

Post an image, the link can not be followed in this form.

OpenStudy (anonymous):

alright

OpenStudy (anonymous):

hold on

OpenStudy (john_es):

You can use cross product, \[\frac{x+8}{5x-2}=\frac{3}{8}\Rightarrow 3(5x-2)=8(x+8)\Rightarrow15x-6=8x+64\Rightarrow7x=70\Rightarrow x=10\]

OpenStudy (anonymous):

wo i understand i just dint undertsnd the order, thanks alot

OpenStudy (john_es):

;)

OpenStudy (anonymous):

can you help me with one more?

OpenStudy (john_es):

Ok

OpenStudy (anonymous):

alrigh this is the problem...Assuming x > 0, what is the simplified fraction form for

OpenStudy (anonymous):

wrong picture hold on

OpenStudy (anonymous):

OpenStudy (john_es):

\[\frac{15x\sqrt{3}}{\sqrt{25\cdot x^2\cdot3}}=\frac{15x\sqrt{3}}{\sqrt{(5x)^23}}=\frac{15x\sqrt{3}}{5x\sqrt{3}}=3\]

OpenStudy (anonymous):

alright... thanks do you mind doing one more? please

OpenStudy (john_es):

Ok ;)

OpenStudy (anonymous):

Assuming x > 0, which of these expressions is equivalent to

OpenStudy (john_es):

\[11\sqrt{245x^3}+9\sqrt{45x^3}=11\sqrt{5\cdot7^2\cdot x^3}+9\sqrt{5\cdot 3^2 x^3}=11\sqrt{5\cdot(7x)^2\cdot x}+9\sqrt{5\cdot (3x)^2 x}=\\ =11\cdot7x\sqrt{5\cdot x}+9\cdot 3x\sqrt{5x}=77x\sqrt{5x}+27x\sqrt{5x}=104x\sqrt{5x}\]

OpenStudy (anonymous):

wow alright thanks man

OpenStudy (john_es):

Hope it helps ;)

OpenStudy (anonymous):

it does, so like i have a couple more i need help with if you are willing?

OpenStudy (john_es):

Ok, no problem ;)

OpenStudy (anonymous):

alright Which equation represents the line passing through the points (3, 2) and (−9, 6)? x − 3y = 9 x + 3y = 9 3x − y = −9 3x + y = 9

OpenStudy (john_es):

As the line must pass trough the two points, then we have to calculate the slope, \[y=mx+n\\ (x_1,y_1)=(-9,6)\\ (x_0,y_0)=(3,2)\\ m=\frac{y_1-y_0}{x_1-x_0}=\frac{4}{-12}=-\frac{1}{3}\] So the x must be multiplied by 1/3 when the equation is expressed in the form y=mx+n. Only the first two satisfy this condition. But now we have to calculate then n. Until now our equation is, \[y=-\frac{1}{3}x+n\]Now use any of the points they give you to calculate n. \[2=-\frac{1}{3}3+n\Rightarrow n=3\] So, \[y=-\frac{1}{3}x+3\Rightarrow x+3y=9\]

OpenStudy (anonymous):

wow how do i give you a medal?

OpenStudy (anonymous):

alright one more question i think Which ratio represents the area of the smaller rectangle compared to the area of the larger rectangle? (Figure not drawn to scale).

OpenStudy (john_es):

As you wish, and only if what I wrote helps you. For the problem, you must equate the sides that have a similiar form, \[\frac{2x}{x}=\frac{x^2+5x+6}{x+2}\Rightarrow2=\frac{(x+2)(x+3)}{x+2}\Rightarrow2=x+3\Rightarrow x=-1\]

OpenStudy (john_es):

It is a little strange that they give you a problem with this solution, but it is what it can be deduced from the graph. Although negative measures are not physical.

OpenStudy (anonymous):

thanks for all your help.. i want to give you one but idk how to

OpenStudy (john_es):

To give a medal (for other cases not only mine) you must choose the "best response", or click in the blue button "best response". ;)

OpenStudy (anonymous):

wait i just relized what you did didnt match the answers that were given to me.

OpenStudy (anonymous):

2x(x + 3) the last choice

OpenStudy (anonymous):

oh okay thanks man you have a good one. i really appreciated all your help

OpenStudy (john_es):

Well, one moment, I put it better

OpenStudy (john_es):

Small rectangle area, \[A_1=x(x+2)\] Big rectangle area, \[A_2=2x(x^2+5x+6)\] Ratio between the smaller and the big, \[A_1/A_2=\frac{x(x+2)}{2x(x^2+5x+6)}=\frac{x(x+2)}{2x(x+2)(x+3)}=\frac{1}{2(x+3)}\] I didn't read the part of the "ratio between areas" and wrote the ratio between sides. Now it is ok.

OpenStudy (anonymous):

alright :D

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