Answer:
Center: (2,-1)
Radius: 4 units
Step-by-step explanation:
Equation of the circle in standard form is:
The radius of this circle is located at (-g, -f) and its radius is equal to:
The given equation of circle is:
Re-writing this equation in a form similar to the standard equation:
Comparing this equation with standard equation we can say:
g= -2
f = 1
c = -11
So, the center of the circle will be located at (-g, -f) = (2, -1)
And the radius will be = 
Thus the radius of the given circle is 4 units.
Answer:
x
≈
1.90206634
Step-by-step explanation:
3
(
12
x
−
16
)
=
4
(
12
−
x
3
)
Simplify
3
(
12
x
−
16
)
.
36
x
−
48
=
4
(
12
−
x
3
)
Simplify
4
(
12
−
x
3
)
.
36
x
−
48
=
48
−
4
x
3
Answer:
Step-by-step explanation:
<u>We have similar triangles here.</u>
- BC║DE, AB║AD and AC║AE ⇒ ΔADE ~ ΔABC
<u>The ratio of corresponding sides of similar triangles is same:</u>
- BC/DE = AC/AE
- BC / 2 = 30/3
- BC / 2 = 10
- BC = 2*10
- BC = 20 m
180 degrees is half of a circle, and clockwise means turning in the direction a clock does - right.
So a point would be turned right halfway around.
Consider this option:
1. if the point (4;6) is the centre of the circle and the point (2;5) is the first endpoint of its diameter, then point (4;6) is the middle point of the diameter (it means that is the middle between the 1st and the 2d endpoints of diameter).
2. using the property described above:
for x of the 2d endpoint of the diameter: x=4*2-2=6;
for y of the 2d endpoint of the diameter: y=6*2-5=7.
answer: (6;7)
