My computer only has one visible power slot for a graphics card with two connectors?

Hi, my computer model is an emachine ET1331-02. As I've already had enough trouble breaking open the back of the case's metal slots (problem described here: http://www.tomshardware.com/forum/284059-33-cant-insert-video-card-emachine), now another problem arises. I'm only 14, and I don't know too... show more Hi, my computer model is an emachine ET1331-02.
As I've already had enough trouble breaking open the back of the case's metal slots (problem described here: http://www.tomshardware.com/forum/284059-33-cant-insert-video-card-emachine), now another problem arises.
I'm only 14, and I don't know too much about computers themselves. I recently got this new graphics card to enhance my computer, a Sapphire Radeon HD 4850, and its power connector has two individual slots, and in my machine, I can only see one visible slot to plug it in. Do I need both to power the card? If not, which one do I use (one has 3 wires connected and the other has 5)? And if I do need both.... I only have one slot. Please help me figure this predicament out.

This is what I bought: http://www.newegg.com/product/product.aspx?nm_mc=AFC-TechBargains&cm_mmc=AFC-TechBargains-_-NA-_-NA-_-NA&Item=N82E16814102901&AID=10521304&PID=3463938&SID=
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