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Olegator [25]
3 years ago
15

What are the steps for constructing a circumscribed circle for using only a compass and a straightedge?

Mathematics
2 answers:
fredd [130]3 years ago
8 0
Find the incenter of the triangle.
Draw a perpendicular from the incenter to one of the sides. Mark the point of intersection with the side.
Set the distance between compass points to the distance between the point of intersection and the incenter. This is the radius of the circle
Marta_Voda [28]3 years ago
4 0
Construct the perpendicular bisector of one side of triangle
Construct the perpendicular bisector of another side
Where they cross is the center of the Circumscribed circle
Place compass on the center point, adjust its length to reach any corner of the triangle, and draw your Circumscribed circle!
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Can someone pls help??
Vlad1618 [11]

Answer:

a. The y coordinates for A are either 10 or -14

b.  The y coordinates for A are either -11 or 7

Step-by-step explanation:

distance = sqrt ((x2-x1)^2+(y2-y1)^2)

We know Point B and the x coordinate of point A as well as the distance

15 = sqrt ((-4-5)^2+(-2-y1)^2)

15 = sqrt ((-9)^2+(-2-y1)^2)

15 = sqrt (81+(-2-y1)^2)

Square each side

15^2 =sqrt (81+(-2-y1)^2)^2

225 =  81+(-2-y1)^2

Subtract 81 from each side

225-81 = 81-81 +(-2-y1)^2

144 = (-2-y1)^2

Take the square root of each side

±sqrt 144 = sqrt(-2-y1)^2

±12 = (-2-y1)

Add 2 to each side

2±12 = 2-2-y1

2±12 = -y1

14 = -y1  or -10 = -y1

Multiply by -1

-14 = y1  or 10 = y1

The y coordinates for A are either 10 or -14

Now move B to -7,-2

15 = sqrt ((-7-5)^2+(-2-y1)^2)

15 = sqrt ((-12)^2+(-2-y1)^2)

15 = sqrt (144+(-2-y1)^2)

Square each side

15^2 =sqrt (144+(-2-y1)^2)^2

225 =  144+(-2-y1)^2

Subtract 144 from each side

225-144 = 144-144 +(-2-y1)^2

81 = (-2-y1)^2

Take the square root of each side

±sqrt 81 = sqrt(-2-y1)^2

±9 = (-2-y1)

Add 2 to each side

2±9 = 2-2-y1

2±9 = -y1

11 = -y1  or -7 = -y1

Multiply by -1

-11 = y1  or 7 = y1

The y coordinates for A are either -11 or 7

3 0
3 years ago
Use the foil method to find the product below. (x+3) (x^2-6x)
Scorpion4ik [409]

x^3 - 3x^2 - 18x

Using the FOIL method, I arrived at my solution!

5 0
2 years ago
Is (2, 2) a solution of the system y = x and x + 2y = 6?
Mariana [72]

Answer:

yes

Step-by-step explanation:

Substitute x = 2 and y = 2 into both equations and if both are true then (2, 2) is a solution of the system.

y = x, that is

2 = 2 ← True

x + 2y = 6, that is

2 + 2(2) = 2 + 4 = 6 ← True

Thus (2, 2) is a solution of the system

7 0
2 years ago
Read 2 more answers
F(x) = 3x+2<br><br> What is f(5)?
Ksju [112]

F(5)= 3.(5)+2=15+2=17

Another example: F(0)=3.(0)+2=0+2=2

You just replace the value in the two sides.

4 0
2 years ago
Una deuda de $2.684.033 se debe amortizar en 5 años a la tasa de interes anual del 8%, con capitalización semestral. Calcular la
joja [24]

Answer:

english?

Step-by-step explanation:

6 0
2 years ago
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