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
pogonyaev
3 years ago
5

The height h of a thrown object as a function of horizontal distance d that it has traveled is a quadratic function. An object i

s thrown from ground​ level, 57 m away from the base of a tower 17 m high and just barely clears the top of the tower. It then lands 57 m away on the other side. Find​ h(d), the quadratic function that represents this.

Mathematics
1 answer:
omeli [17]3 years ago
5 0

Answer:

  h(d) = (17/3249)(-d² +114d)

Step-by-step explanation:

For this purpose, it is convenient to translate and scale a quadratic parent function so it has the desired characteristics. We can start with the function ...

  f(x) = 1 -x² . . . . . . . has zeros at x = ±1 and a vertex at (0, 1)

We want to horizontally expand this function by a factor of 57, so we can replace x by x/57. We want to vertically scale it by a factor of 17, so the vertex is at (0, 17). Finally, we want to translate the function 57 m to the right, which requires replacing x with x-57. After these transformations, we have ...

  f(x) = 17(1 -((x-57)/57)²) = (17/3249)(-x²+114x)

Using the appropriate function name and variable, we have ...

  h(d) = (17/3249)(-d² +114d)

You might be interested in
What is the definition of a perfect cube?
Rom4ik [11]
<span>The definition of a perfect cube is a number that is the result of multiplying an integer by itself three times
Hope it helps</span>
3 0
3 years ago
Marco bounces a basketball 45 times in 60 seconds.at the rate approximately how many times will Marco bounce the ball 150 secon
worty [1.4K]

Answer:

Approximately : 135

Step-by-step explanation:

60sec x 3 = 180sec

45 x 3 = 135

4 0
3 years ago
Please give me the correct answer ​
Furkat [3]

Answer:

A

Step-by-step explanation:

1 over 10x10x10 is basically, 10 to the power of 3. 10x10 is 100, and 100x10 is 1000. An easy way to do this. Since we have 3 tens, we start with 10, then add a 0, then add another 0. Gives you 1000.

3 0
3 years ago
A local hamburger shop sold a combined total of 599 hamburgers and cheeseburgers on Tuesday. There were 51 fewer cheeseburgers s
Arturiano [62]
Cheeseburgers = 274
Hamburgers = 325

Divide 599 by 2 = 299.50 total burgers split in half
Divide 51 by 2= 25.50
Subtract 299.50- 25.50= 274cheeseburgers
Add 299.50+ 25.50= 325hamburgers
3 0
3 years ago
Plz help i need this done now.
tatuchka [14]

Answer:

infinite solutions

Step-by-step explanation:

4x+4(3x+7) = 8(2x-3) +52

Distribute

4x+12x+28 = 16x-24+52

Combine like terms

16x+28 = 16x +28

Subtract 16x from each side

16x-16x+28 = 16x-16x +28

28=28

This is true, so there are infinite solutions

8 0
3 years ago
Other questions:
  • Picturing the way a volcano erupts to remember how a volcano functions is called
    8·2 answers
  • Question 6 options: What is the approximate area of a circle with a diameter of 56 cm? Use your calculator button for π. Round y
    13·1 answer
  • Which would be the best name for a function that takes the time of day and returns the numbers of coffee sold at a coffee shop?
    12·1 answer
  • Solve the equation for x.<br> 2(x-2) + 6 = 2
    14·2 answers
  • Can you help me with this please???
    6·1 answer
  • Please come answer ASAP!!!<br> 5 - n divided by 3 = 4 what is the value of n?
    10·1 answer
  • What is the volume of a cylinder with a height of 5.8cm and radius of 2.1 cm? Show work
    6·2 answers
  • A class of 20 boys and 15 girls is divided into n groups so that each group has x boys and y girls. Find x, y and n. what values
    13·1 answer
  • The temperature in Scottsdale increased by 2 degrees in 2 days. If the temperature changed by the same
    6·1 answer
  • The number of sit-ups that all tenth-grade girls can do in 5 minutes is normally distributed. beth surveyed 20 of her fellow int
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!