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JulsSmile [24]
3 years ago
5

I need help rn please it would mean a lot and explain in standard form

Mathematics
1 answer:
Margaret [11]3 years ago
3 0

Answer:

x^{\frac{17}{14} }

Step-by-step explanation:

When multiplying exponents with the same base, you keep the base (in this case, the base is x) the same and add the exponents. When we add 5/7 with 1/2, we get 17/14, so the answer is x raised to the power of 17/14, or x^{\frac{17}{14} }

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Indicate the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5).
PtichkaEL [24]
Okay to find the perpendicular bisector of a segment you first need to find the slope of the reference segment.

m=(y2-y1)/(x2-x1) in this case:

m=(-5-1)/(2-4)

m=-6/-2

m=3

Now for the the bisector line to be perpendicular its slope must be the negative reciprocal of the reference segment, mathematically:

m1*m2=-1  in this case:

3m=-1

m=-1/3

So now we know that the slope is -1/3 we need to find the midpoint of the line segment that we are bisecting.  The midpoint is simply the average of the coordinates of the endpoints, mathematically:

mp=((x1+x2)/2, (y1+y2)/2), in this case:

mp=((4+2)/2, (1-5)/2)

mp=(6/2, -4/2)

mp=(3,-2)

So our bisector must pass through the midpoint, or (3,-2) and have a slope of -1/3 so we can say:

y=mx+b, where m=slope and b=y-intercept, and given what we know:

-2=(-1/3)3+b

-2=-3/3+b

-2=-1+b

-1=b

So now we have the complete equation of the perpendicular bisector...

y=-x/3-1 or more neatly in my opinion :P

y=(-x-3)/3
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3 years ago
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Answer:

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Step-by-step explanation:

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