A soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second. Its height above ground in feet is given by:s(t)=-16t^2 +32t
where t is time in seconds.
I am looking for the max height of the ball, as well as when it hits the ground. My major question is this: Do I have to find c before I solve this? (ax^2 +bx+ c) Is that even necessary in this word problem?
Thank you!

Answers

Answer 1
Answer: C is the height above the floor when it's kicked . . . zero. Gravitational acceleration reduces its speed to zero in 1 second. Average speed during that time is 1/2 (32+0) = 16 feet per second. At that average speed, it rises 16 feet to its peak. Gravity works exactly the same scenario in reverse after that. Beginning 16 ft high with zero speed, it falls 16 feet in one second, and hits the ground at 32 ft per second.

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What is the solution of the system of equations?6x – 2y = 4 –9x + 3y = 12 infinitely many solutions no solution (0, –2) (–2, 4)
Which process consists of a logical chain of steps

Solve for x.
-3x + 4 = -8

Answers

-3x+4=-8

Subtract 4 from -8
then your left with -3x=-12
Divide -12 by -3
x=4
  

the answer would be x=-7


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In a library where the ratio of men to women is 1 to 1, of the total members are men.

Answers

The men are in equal amount to women if the ratio is 1:1

If an item weighs 45 kilograms, what is its weight in pounds?

Answers

Answer:

45 kilogram =  99.208 pound.

Step-by-step explanation:

Given  : If an item weighs 45 kilograms,

To find : what is its weight in pounds.

Solution : We have given that

Weighs = 45 kilograms.

1 kilogram  = 2.20462 pound .

45 kilogram = 2.20462 * 45.

45 kilogram =  99.208 pound .

Therefore, 45 kilogram =  99.208 pound.

The weight of 45 kg is equal to 99.21 pounds.

To convert 45 kilograms to pounds,

We have to use a conversion factor.

The conversion factor is 2.20462 pounds per kilogram.

Therefore,

To find the weight of an item in pounds,

We have to multiply its weight in kilograms by 2.20462.

So,

Multiplying 45 kilograms by 2.20462 pounds per kilogram

We get a weight of approximately 99.21 pounds.

It's important to note that kilograms and pounds are both units of mass, but they are used in different parts of the world.

Kilograms are the standard unit of mass in the metric system,

while pounds are commonly used in the United States and the United Kingdom.

Hence,

An item that weighs 45 kilograms has a weight of approximately 99.21 pounds.

To learn more about the measurement unit visit:

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How do you solve |y+9|>4?

Answers

This is a weird one.  I'm going to work it, but I also want you to look back at the
book or the worksheet and make sure that you copied it correctly.
Because it's weird, I tell you.

| y + 9 | > 4

Subtract 9 from each side of the inequality:

   | y | > -5

OK.  Now, here we go:

'Absolute value' means just the size of the number, no matter whether it's
negative or positive.  So the absolute value of every number is positive.

Got that ?  The absolute value of every number is positive.

So EVERY number is a solution to this inequality.  It doesn't matter what number
' y ' is, its absolute value is always positive.  And if the absolute value is always
positive, then it's definitely always greater than -5 .

Weird ?  I told you so.
Absolute value means that it doesn't matter if the number in the bars is positive or negative, it still comes out to be a positive number. Since the absolute value of anything greater than -4 added with 9 is greater than 4, one answer is y>-4. Absolute value inequalities and equation often have two answers though, a positive and a negative. And since the absolute value of anything less than -14 plus 9 is greater than 4, the second answer is y<14.

-1 + n/2 = -11
HELP
THNX

Answers

Answer:

n = -20

Step-by-step explanation:

-1 +(n)/(2) = -11\n add 1 on each side

(n)/(2)  = -11 + 1\n\n(n)/(2) =-10multiply by 2

n = -20

AC and BD are perpendicular bisectors of each other. Find the perimeter of ADE. m<D = 12, AB = 13, EC = 5.

Answers

The perimeter of the triangle ΔADE will be 30 units.

What is the perimeter of a triangle?

Let the triangle be ABC.

Then the perimeter of the triangle will be

Perimeter = AB + BC + CA

AC and BD are perpendicular bisectors of each other.

The diagram is shown below.

P = AD + DE + EA

P = 13 + 12 + 5

P = 30 units

More about the perimeter of a triangle link is given below.

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THE CORRECT ANSWER IS 30.

AC and BD are perpendicular bisectors of each other.

=> ABCD is rhombus.

AD = 13

AE = √(13^2 - 12^2) = 5

the perimeter of triangle ADE = 13+12+5 = 30