Answer:
(- 2, 4 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) , then the midpoint is
( , )
Here (x₁, y₁ ) = A (4, 6 ) and (x₂, y₂ ) = B (- 8, 2 )
midpoint = ( , ) = ( , ) = (- 2, 4 )
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Answer:
D. 60%
Step-by-step explanation:
Of the 65% who study either time, 47% study on weekends. That means 65%-47% = 18% study on weeknights only.
The fraction who study on weeknights is the total of the fraction who study on weeknights only (18%) and the fraction who study on weeknights and weekends (42%). That total is ...
18% +42% = 60% . . . . fraction who study on weeknights
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It can be helpful to draw yourself a Venn diagram.
Answer:
- <u><em>Use the perpendicular bisectors to find the center of the circle</em></u>.
Explanation:
A <em>circle circumscribed about a triangle</em> passes through the three vertices of the triangle.
The distance from each vertex to the center of the <em>circle</em> is the radius of the circle: each vertex of the triangle is at the same distance from the center of the circle.
All the points on the <em>perpendicular bisector</em> of a side of the triangle are at the same distance from the two vertices that define that side.
Thus, where the three perpedicular bisectors intersect each other is a point (the only one) at the same distance from the three vertices of the triangle, i.e. the center of the circle.
Hence, once the center of the circle is found, you can use a compass to draw the circle that passes through the three vertices of the triangle to construct the circle circumscribed about the triangle.
Answer:
(4,2)
Step-by-step explanation:
-3x+5y=-2
3x+7y=26
I will add the two equations to eliminate x
-3x+5y=-2
3x+7y=26
---------------------
0x + 12y = 24
Divide by 12
12y/12 = 24/12
y =2
Now find x
3x+7y =26
3x+7*2 =26
3x+14= 26
Subtract 14 from each side
3x+14-14 =26-14
3x= 12
Divide by 3
3x/3 =12/3
x=4
Answer:
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Step-by-step explanation: