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Answer:
(8) d. 4/3 (9) a. (X - 4)^2 + (y-4)^2= 25
Step-by-step explanation:
8. CENTER OF CIRCLE: O (2,6)
radius of circle : r = √4 = 2
if m = 4/3 line: y = 4/3 x
perpendicular distance (d) from center of circle to line y = 4/3 x is
d = |((4/3 x 2) + (-1) x 6)| / √((4/3)² + (-1)²) = |(-10/3)| / √(25/9) = (10/3) / (5/3) = 2
d = r means line touch with circle
9. center of circle is the intersection of the diagonals of rectangle (4,4) and its radius is 5 (illustrated)
the equation of circle: (X - 4)^2 + (y-4)^2= 25
hope this will help you
1) We are given a hexagon there.
Sum of all angles of a hexagon is 720.
Therefore, sum of all angles inside pentagon =720.
We can step an equation as
x+100+102+108+121 = 720.
Adding 100+102+108+121, we get 431.
Therefore,
x+431 = 720.
Subtracting 431 from both sides, we get
x+431-431 = 720-431
x=289.
Therefore, measure of unknown angle x= 289 degrees.
2) Coordinates of the vertices of the given triangle
(-2,-9)
(7,-4)
(9,-7).
We need to graph the reflected triangle across the y-axis.
For reflected triangle across the y-axis we can apply rule
(x,y) --> (-x,y)
By applying above rule, we get the coordinates of reflected triangle as
(-2,-9) --> (2,-9)
(7,-4) --> (-7,-4)
(9,-7) --> (-9,-7).
Now, we can plot those coordinates on the graph and join the coordinates to form a triangle.
