Question 3-17 i really stink at math :( it just doesnt make sense to me. alsi im failing. plz help
1 answer:
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Answer:
<u>The circumcenter is (-1 , -6.5)</u>
Step-by-step explanation:
the circumcenter is the point where the perpendicular bisectors of a triangle intersects.
See the attached figure
A(-6, - 8), B(4. – 5), C(-6,-5).
As shown at the graph ΔABC is aright triangle at C
The perpendicular bisector of AC is the line y =-6.5
The perpendicular bisector of BC is the line x = -1
The intersection between y =-6.5 and x = -1 will be the point (-1,-6.5)
<u>So, The circumcenter is (-1 , -6.5)</u>
<u>Another solution:</u>
As the graph represents a right triangle.
The circumcenter of a right triangle lies exactly at the midpoint of the hypotenuse
The hypotenuse is the line segment AB
The midpoint of AB = (A + B)/2 = [(-6, - 8) +(4. – 5)]/2 = (-2,-13)/2 = (-1 , -6.5)
So, <u>The circumcenter is (-1 , -6.5)</u>
<span><span><span>2x</span>−y</span>=5
</span>Add -2x to both sides.
<span><span><span><span>2x</span>−y</span>+<span>−<span>2x</span></span></span>=<span>5+<span>−<span>2x
</span></span></span></span><span><span>−y</span>=<span><span>−<span>2x</span></span>+5
</span></span>Divide both sides by -1.<span><span><span><span><span>
</span></span></span></span></span><span><span>
</span></span><span>y=<span><span>2x</span>−5
</span></span>Answer:
<span>y=<span><span>2x</span>−<span>5</span></span></span>
</span>Add -2x to both sides.
<span><span><span><span>2x</span>−y</span>+<span>−<span>2x</span></span></span>=<span>5+<span>−<span>2x
</span></span></span></span><span><span>−y</span>=<span><span>−<span>2x</span></span>+5
</span></span>Divide both sides by -1.<span><span><span><span><span>
</span></span></span></span></span><span><span>
</span></span><span>y=<span><span>2x</span>−5
</span></span>Answer:
<span>y=<span><span>2x</span>−<span>5</span></span></span>