Answer:
Hi! The answer to your question is Slope: 0, Y-Intercept: 3
Step-by-step explanation:
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The discontinuity occurs at x = 0, since that is the only "problem" place in the graph that makes the function undefined. A vertical asymptote exists there. It is nonremoveable.
For question number 1:The plot H = H(t) is the parabola and it reaches its maximum in the moment when exactly at midpoint between the roots t = 0 and t = 23. At that moment t = 23/2 or 11.5 seconds.
For question number 2:To find the maximal height, just simply substitute t = 11.5 into the quadratic equation. The answer would be 22.9.
For question number 3:H(t) = 0, or, which is the same as -16t^2 + 368t = 0.Factor the left side to get -16*t*(t - 23) = 0.t = 0, relates to the very start of the process, when the ash started its way up.The other root is t = 23 seconds, and it is precisely the time moment when the bit of ash will go back to the ground.
You did not show your plot.
General formula to make an equation of circle
(x - a)² + (y - b)² = r²
Given:
the center (a,b) = (-1,2)
the radius r = 3
Solution:
plug the numbers to the formula
(x - a)² + (y - b)² = r²
(x - (-1))² + (y - 2)² = 3²
(x + 1)² + (y - 2)² = 9
The answer is the last option
