Answer:
Step-by-step explanation:
I need help with same question please
The length of the line joining the center of the circle and each coordinate is equal.
Let the center of the circle be (a, b), then
(a - 10)^2 + (b - 3)^2 = (a - 3)^2 + (b - 10)^2 = (a + 4)^2 + (b - 3)^2
a^2 - 20a + 100 + b^2 - 6b + 9 = a^2 - 6a + 9 + b^2 - 20b + 100 = a^2 + 8a + 16 + b^2 - 6b + 9
a^2 - 20a + 100 + b^2 - 6b + 9 = a^2 - 6a + 9 + b^2 - 20b + 100 . . . (1)
a^2 - 20a + 100 + b^2 - 6b + 9 = a^2 + 8a + 16 + b^2 - 6b + 9 . . . (2)
From (1): 14a - 14b = 0 => a = b
From (2): 28a = 84 => a = 84/28 = 3
Therefore, center = (a, b) = (3, 3)
Answer: 5.22 seconds
<u>Step-by-step explanation:</u>
t represents time and y represents the height.
Since we want to know when the ball hits the ground, find t when y = 0
Ball 1 starts at a height of 109 --> h = 109
0 = -16t² + 109
16t² = 109
t = 5.22
7a + 10 = 2a subtract 2a from both sides
-2a -2a
5a + 10 = 0 subtract 10 from both sides
-10 -10
5a = -10 then divide both sides by 5
/5 /5
a = - 2
Answer:
b) EF = GF , as both of them are at equal distance from the center
Step-by-step explanation:
Here we are given a ΔEFG inscribed in a circle. We have to determine whether EF = Gf and why ?
Here we see that the center is A
And EF and GF forms the chords of this circle.
The distance of these chords from the center is given as AD and DH . It is also given that both are equal.
The property of a circle says that
When chords are drawn at equal distance from the center , the chords are equal to each other. Hence we have EF and GF equal to each other.
