To construct a circle that circumscribes to a triangle, you would have to construct a circle that where all vertices of the triangle are on the circle. To do this you would have to construct the perpendicular bisectors of each side with your compass and straight edge. Comment on this answer if you are unsure of how to construct a perpendicular bisect (it's a long fundamental process to describe, and I wouldn't want to lecture you one something you already know). Once you have done so, set your compass point on the point where all perpendicular bisectors intersect (they should intersect in ONE point, if not you will have to redo it). Set your other compass lead on one of the vertices and spin away! If you have done this correctly, you should hit all three vertices when spinning your compass. Hope this helps!
Fun fact: the point where all perpendicular bisectors intersect is called the circumcenter
Answer:
y = -2x - 10
Step-by-step explanation:
Slope intercept form of equation is of form
y = mx+c
where m is the slope of line and c is the y intercept of the line.
Y intercept is point on y axis where the line intersects the y axis.
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Given equation
y = -2x +4
comparing it with y = mx+ c
m = -2 , c = 4
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when two lines are parallel, their slopes are equal.
Let the equation of new line in slope intercept form be y = mx + c
Thus slope of of new required line is -2
Thus m for new line is -2.
now, equation of required line : y = -2x+c
Given that this line passes through (-4, -2). This point shall should satisfy equation y = -2x+c.
Substituting the value of (-4, -2) we have
-2 = -2(-4)+c
=> -2 = 8 +c
=> -2 -8 = c
=> c = -10.
Thus , equation of required line is y = -2x - 10.
Answer:
discriminant =0
1 real root
Step-by-step explanation:
The discriminant is b^2 -4ac
when the equation is written in the form ax^2 +bx+c
f(x) = 3x^2 +24x+48
a = 3 b = 24 and c =48
discriminant = 24^2 - 4(3)*(48)
=576-576
=0
If the discriminant >0 we have 2 real roots
if discriminant = 0 we have 1 real root
if discriminant <0 we have 2 complex roots
Answer:
1 = 1000
0.43 L = _________ mL
0.43 * 1000 = 430 mL
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<em><u>430 mL is the answer.</u></em>
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<em><u>Hope this helps</u></em>
hi tAnswer:hey
Step-by-step explanation:
