The distance between the coordinates (0, 4) and (10,4) is 10
Step-by-step explanation:
We need to find the distance between the coordinates (0, 4) and (10,4)
The formula used to find distance is:
where
Putting values:
So, The distance between the coordinates (0, 4) and (10,4) is 10
Keywords: Distance between coordinates
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It looks like you might have intended to say the roots are 7 + i and 5 - i, judging by the extra space between 7 and i.
The simplest polynomial with these characteristics would be
but seeing as each of the options appears to be a quartic polynomial, I suspect f(x) is also supposed to have only real coefficients. In that case, we need to pair up any complex root with its conjugate to "complete" f(x). We end up with
which appears to most closely resemble the third option. Upon expanding, we see f(x) does indeed have real coefficients: