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2 years ago

What is the locus of centers of all circles passing through point A and Point B, which are two fixed points in a plane.

Mathematics

1 answer:

Aleks04 [339]2 years ago

3 0

Answer:

the locus is the perpendicular bisector of the segment

Step-by-step explanation:

The points equidistant from A and B lie on the line that is the perpendicular bisector of segment AB.

_____

<em>Comment on this geometry</em>

You take advantage of this fact when you construct a circle through 3 points. You construct the perpendicular bisectors of segments between pairs of the points, and locate the center of your circle at their intersection.

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Step-by-step explanation:

$\underline{ \underline{ \text{Given}}} :$

Length of MN ( Base ) = 8
Length of NL ( Hypotenuse ) = 10

$\underline{ \underline{ \text{To \: find}}} :$

Length of LM ( Perpendicular )

$\underline{ \underline{ \text{Using \: pythagoras \: theorem}}} :$

$\boxed{ \sf{ {Hypotenuse}^{2} = {Perpendicular}^{2} + {Base}^{2} }}$

⤑ $\sf{ Perpendicular = \sqrt{ {(Hypotenuse)}^{2} - {(Base)}^{2} } }$

⤑ $\sf{ \sqrt{ {(10)}^{2} - {(8)}^{2} } }$

⤑ $\sf{ \sqrt{100 - 64}}$

⤑ $\sf{ \sqrt{36}}$

⤑ $\boxed{ \sf{6\: units}}$

$\pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline { \tt{6 \: units}}}}}}}$

Hope I helped ! ツ

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2 years ago

at a school 111 students play at least one sport this is 30% of the students at the school how many students are at the school

mixas84 [53]

Mark as Branliest if you like the answer and want to be ansewered frequently within no time

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2 years ago

Choose the solutions to the two equation system.<br>6.0 + 3y = 30<br>15+ y = 7

zloy xaker [14]

Answer:

y= -8 or 8

Step-by-step explanation

30-6= 24

24/3=8

y=8

15+y=7

y=-8

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1 year ago

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spin [16.1K]

Answer:

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Step-by-step explanation:

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2 years ago

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