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.
Same side interior angles CONVERSE also called consecutive interior angle CONVERSE.
IF (x - 30) + (x + 50) = 180 then, line line n || m.
x - 30 + x + 50 = 180
2x + 20 = 180
subtract 20 from both sides
2x = 160
divide both sides by 2
x = 80
IF (x - 30) + y = 180, then k || j.
(80 - 30) + y = 180
50 + y = 180
subtract 50 from both sides
y = 130
y =2x-1
Step-by-step explanation:
Answer:
Step-by-step explanation:
α + β = 180°
∠BFE and ∠FBC
∠CEF and ∠BCE
Answer:
x=2y-8
We use the substitution of x in the second equation
2*(2y-8)+3y= -2
4y-16+3y=-2
7y-16= -2
7y= -2 +16
7y=14
y=14Ș7
y=2
so x= 2*2 -8
x=4-8
x=-4
the solution is (x,y)=(-4, 2)
Step-by-step explanation:
