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
Which of the following are remote interior angles of <6? Check all that apply.
SVETLANKA909090 [29]

Answer:

Well you see Is this GCSE

6 0
2 years ago
If 5 bags cost 255.35 how much would 2 bags cost
rewona [7]

255.35 \div 5 = 51.07

51.07 \times 2 = 102.14

8 0
3 years ago
Read 2 more answers
(-16) - (-4) and (-16) + 4<br><br> A. Equal<br> B. Not equal
mina [271]
They are equal

(-16)-(-4)
*negative and negative make a positive

-16+4= -12

-16+4=-12

They both make -12. They both are equal
3 0
3 years ago
Read 2 more answers
​A cable company has a one time installation fee and then a monthly charge to use their service. The total cost of modeled by th
SpyIntel [72]

Answer:

130=monthly charge

119=one time installation fee

Step-by-step explanation:

119 is the y-intercept and in problems like these, it is always the one time fee. 130 is the monthly payment because it has an x, which could account for the number of months. For example , say six months passed, you could multiply 130 * 6 to get the monthly fee for six months. I hope that makes sense!

6 0
2 years ago
Need help with some inverse trigonometric expressions, rounded to the nearest degree.
rjkz [21]
A Google or Bing search box can be your friend, if you don't have a calculator with inverse trig functions. Most calculators that have trig functions also have the inverse functions, usually after a 2nd or "shift" key. Often, there is a mode setting for degrees or radians.

arcsin(0.33) ≈ 19°
arccos(0.47) ≈ 62°
arctan(1.21) ≈ 50°
arcsin(0.82) ≈ 55°

6 0
3 years ago
Other questions:
  • What is the definition of subtract,this is the hardest question in the WORLD,please help me.
    10·2 answers
  • 25 1/2 divided by 6<br> In this math equation I don't know how to do it
    15·1 answer
  • 1. 237 + 496 =<br> 1. 600 - 321 =<br> 7. 993 - 294 =
    10·1 answer
  • A taxi cab cost $2.50 for the first mile and $0.35 for each additional mile. which equation could be solved to find how many mil
    14·1 answer
  • Is the expression 2 • 4 ^ x equal to the expression 8 ^ x ? Explain your answer
    8·1 answer
  • The value of 8 in 5.18 is <br> of the value of 8 in 5.81.
    15·1 answer
  • Whats the measure of angle E ?
    6·1 answer
  • What is the area of the rectangle with the given dimensions? *
    6·1 answer
  • I am a one digit number. Follow the calculation steps and Find me.
    12·1 answer
  • Heidi’s older sister needs to take either Chemistry (C), Geometry (G), or Physics (P) this year. She can take the class during a
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!