Answer:
Step-by-step explanation:
If two lines are parallel, that means their slopes are equal.
And we also know that the line must pass through (-6,7)
And with our point-slope equation, we get the equation:

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Hope that helps!
Answer:
1/2 <3/4
Step-by-step explanation:
1/2 vs 3/4
We need a common denominator of 4
1/2*2/2 vs 3/4
2/4 vs 3/4
Since the denominators are the same, we compare the numerators
2 <3 so
2/4 < 3/4
1/2 <3/4
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.