Answer:
The answer to your question is Center = (-3, 5) radius = 8
Step-by-step explanation:
Data
(x + 3)² + (y - 5)² = 64
Process
Because of the characteristics of the equation, we conclude that it is a circle.
Standard form of a circle:
(x - h)² + (y - k)² = r²
In this form of the equation, the center has coordinates (h, k), just change the signs.
And to get the radius, just get the square root of r²
h = -3
k = 5
r = 8
Center = (-3, 5)
radius = 8
Part 1:
For this case we must see in the graph the axis of symmetry of the given parabola.
We have then that the axis of symmetry is the vertical line t = 2.
Answer:
The height of the javelin above the ground is symmetric about the line t = 2 seconds:
Part 2:
For this case, we must see the time t for which the javelin reaches a height of 20 feet for the first time.
We then have that when evaluating t = 1, the function is h (1) = 20. To do this, just look at the graph.
Then, we must observe the moment when it returns to be 20 feet above the ground.
For this, observing the graph we see that:
h (3) = 20 feet
Therefore, a height of 20 feet is again reached in 3 seconds.
Answer:
The javelin is 20 feet above the ground for the first time at t = 1 second and again at t = 3 seconds
Answer:
Step-by-step explanation:
Volume of cylinder can be calculated by using the formula V= pir^2h
Where r is radius of cylinder and h is the height.
A cylinder with radius 1 inch and height of 9 inch is given.
r=1,h=1,π=3.14.
Substituting the given values :
V=πr2h=π·12·9≈28.27433
Volume of cylinder rounded to nearest tenth is 28.27 cubic inches .
since LM=LN there values are same which is given as 5.5 cm and MN =7cm
now draw a line LM which is 5.5 cm long. From one point of this line construct an arc 5.5 cm in upward direction.Then from the opposite end of the same line LM construct an arc 7 cm long in upward direction. Let it meet the the first arc at any point. The arcs will meet for sure at any angle. Join the two ends of line LN to this point where they meet. We get a triangle!
Remember to mark LM , LN and MN as soon as u draw them so as to avoid confusion.
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