A)15.8 inches B) 17.8 inches C)16.2 inches D)14.8 inches
1 answer:
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Complete question :
John and Kamira are playing a game. John's score (J) and Kamira's score (K) after round 1 are shown on the number line.
The score recorded at the end of the first round is 2.
What could this score represent?
Options :
the sum of John's score and Kamira's score
the difference between John's score and Kamira's score
the absolute value of the difference of John's score and Kamira's score
the sum of the absolute value of John's score and the absolute value of Kamira's score
Answer:
the sum of John's score and Kamira's score
Step-by-step explanation:
Given that :
The score recorded at the end of the round is 2
From the attached number line :
John's score = - 5
Kamira's score = 7
Sum = - 5 + 7 = 2
Difference = - 5 - 7 = - 12
Sum of absolute value = 5 + 7 = 12
absolute value of difference = 12
Answer:
Check the explantion
Step-by-step explanation:
H(t) represent the height of the ball after t seconds.
1)
In order to figure the maximum height of the ball we must minupulate this equation into a form where we can easily find the maximum height.
We can also see this parabola will be downward concaved because it has a negative coefficent for the t^2 term.
a) Let's Manipulate!
Vertex form is a form where we can easily tell the maximum and minimum points. To get in into Vertex form we just need to complete the sqaure.
Lets reanrage the terms
h(t)= -16t^2+144t
Undo the distrubitive propety
h(t)= -16(t^2-9t+20.25)+324
Add and subtract 324.
h(t) = -16(t-4.5)^2+324
COmplete the square.
b) Almost done!
We can now see that the stuff with the brackets is always positive/zero because any real number sqaured is a positive/zero. But than we multiply the positive stuff by a negative number (-16) so its now all negative.
The only exception is when its zero.
And off course if we add 324 to zero its always going to be greater than 324 + a negative number. To get the first term to be zero we can have t = 4.5.
c) Proove it!
h(4.5) = -16(4.5-4.5)^2+324
=324
d) Double Check by graphing!
(Its a attach screenshote by the way)
e) Answer:
The ball will reach its maximum height after 4.5 seconds.
Hoped this helped!,
JoeLouis2
