1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
KonstantinChe [14]
3 years ago
7

The height of a football during a punt is modeled by h=-16t^2+60t+3. If the football hits the ground, how long did it stay in th

e air?
Mathematics
1 answer:
weqwewe [10]3 years ago
8 0

"how long..." is asking for time (t).  "The amount of time spent in the air" is the time from when the ball was kicked (0 seconds) to the time it landed on the ground.  Need to find the x-intercepts (one will be negative which will be invalid). You can do this by factoring ... <em>or by using the quadratic formula.</em> With the equation you provided, it is not factorable, so you must use the quadratic formula.

h = -16t² + 60t + 3

   a=-16   b=60  c=3

t = \frac{-b +/- \sqrt{b^{2}-4ac } }{2a}

t = \frac{-60 +/- \sqrt{60^{2}-4(-16)(3) } }{2(-16)}

t = \frac{-60 +/- \sqrt{3600 + 192} }{-32}

t = \frac{-60 +/- \sqrt{3792} }{-32}

t = \frac{-60 +/- 61.6}{-32}

t = \frac{-60 + 61.6}{-32}   or   t = \frac{-60 - 61.6}{-32}

t = \frac{1.6}{-32}        or     t = \frac{-121.6}{-32}

   t = -0.05            or     t = 3.8           <em>disregard the negative</em>

Answer: 3.8 seconds


     

You might be interested in
What is 34 ÷ 18 ? Explain your reasoning.
enyata [817]
1.8 that’s my reason
4 0
2 years ago
Read 2 more answers
Please help? i’ve tried many different answers and i don’t think any of the ones i tried were right.
Svet_ta [14]

Answer:

6x-5=59 answer

Step-by-step explanation:

6x=64

x=64/6

x=10.66

5 0
3 years ago
Read 2 more answers
Write the equation of the line that goes through each set of points------ (-1.6),(3-,2)
Maksim231197 [3]

Answer:

The equation that goes through this set of points is y = -x + 5

Step-by-step explanation:

In order to find this, we need to start by finding the slope. For that we use the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (6 - -2)/(-1 - 3)

m = 4/-4

m = -1

Now that we have this, we can use the slope and a point in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 6 = -1(x - -1)

y - 6 = -1(x + 1)

y - 6 = -x - 1

y = -x + 5

3 0
3 years ago
Line L1, L2 and L3 are in the same plane, L1 is perpendicular to L2, and L3 is parallel to L1. which of the following statement
exis [7]
Only Statement 2 is surely correct.
because there maybe chances that the line L1 and L3 lies above the line L2 and they can also fulfill the condition of perpendicularity so we can't be sure about statement 3 & statement 1 is clearly incorrect
7 0
3 years ago
2 = x - 3<br><br> whats the answer?
Effectus [21]

Answer:

x=1

Step-by-step explanation:

Hope this helps and have a wonderful day!!!

8 0
3 years ago
Read 2 more answers
Other questions:
  • Was doing my work and need help
    7·2 answers
  • Which equation is the inverse of y = 2x2 – 8?
    12·2 answers
  • The linear combination method is applied to a system of equations:
    6·2 answers
  • What is x if x squared minus 6x equals negative 25
    10·1 answer
  • The answer cause i’m stupid and plus we haven’t learnt this yet soooooo help please &amp; thank you
    14·1 answer
  • A sailboat is flooding 24.7 feet above sea level a dolphin swims buy at a depth of 13.1 feet what is the distance between the to
    5·1 answer
  • 12 points! The interior angles formed by the sides of a hexagon have measures that some to 720°. What is the measure of angle F?
    8·1 answer
  • Help will give brainiest
    12·1 answer
  • In a college of 400 students, 45% are girls. Of the boys, 30% are football
    7·1 answer
  • Which set of coordinates satisfies the system of equations y = x − 3 and y = -2x + 1?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!