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
Alisiya [41]
3 years ago
8

Tommy and Arnold are playing with water balloons. Arnold is standing by a bush that is 20 feet from where Tommy is standing. Tom

my released a water balloon at 5 feet above the ground and hits Arnold’s chest- which is also 5 feet above the ground. The balloon reached a maximum height of 15 feet off the ground. using Tommy’s location as the starting point, help Tommy write an equation that describes the path of the water from the point of release to Arnold's chest. Using the equation y=a(x-h)^2+k
Mathematics
1 answer:
erik [133]3 years ago
6 0

Answer:

The equation that describes the path of the water balloon is:

y =-\frac{1}{10}\cdot (x-10)^{2}+15

Step-by-step explanation:

The motion of the water balloon is represented by quadratic functions. Tommy launches a water balloon from A(x,y) = (0\,ft, 5\,ft) and hits Arnold at B(x,y) = (20\,ft, 5\,ft). Given the property of symmetry of quadratic function, water ballon reaches its maximum at C(x,y) = (10\,ft,15\,ft), which corresponds to the vertex of the standard equation of the parabola, whose form is:

y = a\cdot (x-h)^{2}+k (Eq. 1)

Where:

a - Vertex parameter, measured in \frac{1}{ft}.

h, k - Horizontal and vertical components of the vertex, measured in feet.

x, y - Horizontal and vertical location of the ball, measured in feet.

If we know that x = 0\,ft, y = 5\,ft, h = 10\,ft and k = 15\,ft, the vertex parameter is:

5\,ft = a\cdot (0\,ft-10\,ft)^{2}+15\,ft

a = \frac{5\,ft-15\,ft}{(0\,ft-10\,ft)^{2}}

a = - \frac{1}{10}\,\frac{1}{ft}

The equation that describes the path of the water balloon is:

y =-\frac{1}{10}\cdot (x-10)^{2}+15

You might be interested in
Complete the following pattern: 2, 4, 8, 16, 32, ___.<br><br> A) 48<br><br> B) 64
adell [148]
64 as it’s multiplied by 2 each time
7 0
3 years ago
Write an extended response that analyzes the effectiveness of John F Kennedy's Inaugural Address, January 20, 1961, based on you
ioda

Answer:

huhhh  i dont understand fully

Step-by-step explanation:

6 0
3 years ago
Given Ohm's Law, V=IR<br> which of the following operations will solve for I?
vodka [1.7K]

FOLLOW ME FOR CLEARING YOUR NEXT DOUBT

8 0
3 years ago
Evaluate 3f(2) what is it
Georgia [21]

Answer:

12

Step-by-step explanation:

Edge2021

3 0
3 years ago
Four and eight tenths minus two and five tenths equals− two and eight tenths
Dima020 [189]

Answer:

it's two and three tenths / option a

Step-by-step explanation:

4-2 = 2

8-5 = 3

3 0
2 years ago
Other questions:
  • In a box of 8 dozen mangoes, 6 are rotten. what is the probability of randomly selecting a mango that is not rotten?
    14·1 answer
  • Please answer I’ll give you points and I’ll give you thanks also brainlest to the best answer
    11·1 answer
  • What is the value of 3ab+5b-6 when a=-1 and b=3?<br> A.0<br> B.6<br> C.18<br> D.24
    13·2 answers
  • One brand of popcorn costs $2.00 for 1 pound 9 pounds and the second brand costs $2.10 for one pound 14 ounces. Which is the bet
    13·1 answer
  • Brian made 5 free throws at basketball practice. Ethan scored 3 more than twice the number of free throws Brian made. What equat
    10·2 answers
  • Help for brainliest!
    5·1 answer
  • Free brainliest timmmmmmme :)
    11·1 answer
  • Find the values of x and y that satisfy both the equations <br>12x + 3y = 15 and 2x – 3y = 13.​
    11·1 answer
  • Write the fraction 5/8 as a percent and as a decimal.
    11·2 answers
  • I need help.................
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!