Step-by-step explanation:
x = 1.21212121.....
100x = 121.21212121...
Therefore 99x = 120 and x = 120/99 = 40/33.
To find the y-intercept, let x = 0.
0 - 3y = -6
-3y = -6
y = 2
The y-intercept of the equation is the point (0, 2).
The equation of a sphere is:
(x – h)^2 + (y – k)^2 + (z – l)^2 = r^2
where h, k and l are the coordinates of the center of the
sphere
Using the midpoint formula, the coordinate of the center
is:
h = (-4 + 6) / 2 = 1
k = (7 + -5) / 2 = 1
l = (6 + 7) / 2 = 6.5
so the equation becomes:
(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = r^2
we plug in any point, in this case point P to solve for r:
(-4 -1)^2 + (7 – 1)^2 + (6 - 6.5)^2 = r^2
r^2 = 61.25
So the full equation is:
<span>(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = 61.25</span>
The slope is 20/13. Yes, the slope is steeper because without the lip on the slide you would travel downward faster.
Answer:
c) -4/5
d) 4/5
Step-by-step explanation:
The given equation is 25x^2 -16 = 0
Adding 16 on both sides, we get
25x^2 = 16
Dividing both sides by 25, we get
x^2 = 16/25
Taking square root on both sides, we get
x = √(16/25)
x = ±4/5
Therefore, x = 4/5 and x = -4/5
Answers: C) and D)
Hope this will helpful to understand the concept.
Thank you.
