On understanding distance formula
If the distance of (p, 4) from the point (5, 0) is 5, find p.
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distance formula
let A=(p,4)
B=(5,0)
AB= √(x2-x1)²+(y2-y1)²
5 =√(5-p)²+(0-4)²
5 =√25-10p+p²+16
5 =√p²-10p+41
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Answer:
ɪɴ ᴏʀᴅᴇʀ ᴛᴏ ғɪɴᴅ ᴛʜᴇ ʜʏᴅʀᴏɢᴇɴ ɪᴏɴ ᴄᴏɴᴄᴇɴᴛʀᴀᴛɪᴏɴ, ᴡᴇ ᴄᴀɴ ᴜsᴇ ᴛʜᴇ ʀᴜʟᴇ ᴛʜᴀᴛ sᴛᴀᴛᴇs, “ᴛʜᴇ ᴘʜ ᴏғ ᴀɴʏ sᴏʟᴜᴛɪᴏɴ ɪs ɪɴᴠᴇʀsᴇʟʏ ᴘʀᴏᴘᴏʀᴛɪᴏɴᴀʟ ᴛᴏ ᴛʜᴇ ʜʏᴅʀᴏɢᴇɴ ɪᴏɴ ᴄᴏɴᴄᴇɴᴛʀᴀᴛɪᴏɴ”. ᴛʜᴇʀᴇғᴏʀᴇ, ɪᴛ ᴍᴇᴀɴs ᴛʜᴀᴛ ᴛʜᴇ sᴏʟᴜᴛɪᴏɴ ᴛʜᴀᴛ ʜᴀs ᴀ ʟᴏᴡᴇʀ ᴘʜ ɴᴜᴍʙᴇʀ ᴡɪʟʟ ʜᴀᴠᴇ ᴀ ʜɪɢʜᴇʀ ʜʏᴅʀᴏɢᴇɴ ɪᴏɴ ᴄᴏɴᴄᴇɴᴛʀᴀᴛɪᴏɴ. ʜᴇɴᴄᴇ, sᴏʟᴜᴛɪᴏɴ ᴀ ᴡɪʟʟ ʜᴀᴠᴇ ᴀ ʜɪɢʜᴇʀ ʜʏᴅʀᴏɢᴇɴ ɪᴏɴ ᴄᴏɴᴄᴇɴᴛʀᴀᴛɪᴏɴ. ɪɴ ᴀᴅᴅɪᴛɪᴏɴ, sᴏʟᴜᴛɪᴏɴ ʙ ᴡɪʟʟ ʙᴇ ʙᴀsɪᴄ ᴀɴᴅ ᴀ ᴡɪʟʟ ʙᴇ ᴀᴄɪᴅɪᴄ.
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