Question 1:Look at the image.
First, we graph the points on a grid.
Then, we find the perpendicular bisectors and find where they intersect.
They intersect on the circumcenter of the triangle.
The circumcenter is (5,3)
Question 2:The answer is III only because the perpendicular bisector for the longest side will always have to point outside the triangle in order to intersect with the other two perpendicular bisectors.
Question 3:The answer is a perpendicular bisector because it is a perpendicular line that bisects a side of the triangles, which is the exact definition of a perpendicular bisector.
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The expanded form of 15,409 would be 15,000 + 400 + 9.
Your 15 would alone be 15,000. The 409 is turned into zeros.
For 409, take the 9 off of the end and keep it by itself, and then add a zero in replace for the 9, which makes 400.
The 9 should come in at the last part as it is the last number.
Add them all together and you should get <span>15,000 + 400 + 9.</span>
Answer:
3. [1, −2]
2. [−3, 3]
1. [−7, 10]
Step-by-step explanation:
3.
{7⁄2x - ½y = 9⁄2
{3x - y = 5
-6⁄7[7⁄2x - ½y = 9⁄2]
{−3x + 3⁄7y = −3 6⁄7 >> New Equation
{3x - y = 5
_________________
-4⁄7y = 1 1⁄7
-2 = y [Plug this back into both equations above to get the x-coordinate of 1]; 1 = x
__________________________________________________________
2.
{−3x + 9y = 36
{4x + 12y = 24
¾[4x + 12y = 24]
{−3x + 9y = 36
{3x + 9y = 18
______________
18y = 54
___ ___
18 18
y = 3 [Plug this back into both equations above to get the x-coordinate of −3]; −3 = x
__________________________________________________________
1.
{4x − y = −38
{x + y = 3
_____________
5x = -35
___ ____
5 5
x = -7 [Plug this back into both equations above to get the y-coordinate of 10]; 10 = y
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Native American deaths were mainly caused by the introduction of new diseases and weapons brought mainly by Europeans.