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
Lady bird [3.3K]
2 years ago
13

Jack shoots a rocket upward from the ground. the height of the rocket is modeled by (x-2)^2=25. the time after launch is represe

nted by x.
a. how high will the rocket reach?
b. at what time will the rocket reach its highest point?
c. at what time will the rocket be back on the ground?​

Mathematics
1 answer:
Snezhnost [94]2 years ago
3 0

Using a quadratic function, we have that:

a) The rocket reaches a maximum height of 25 units.

b) The rocket reaches it's highest point after 2 seconds.

c) The rocket will be back on the ground after 7 seconds.

<h3>What is the equation of a parabola given it’s vertex?</h3>

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

For this problem, placing it in vertex form, the equation for the height h is given by:

h = -(x - 2)² + 25.

Hence the vertex is (2,25), which means that:

a) The rocket reaches a maximum height of 25 units.

b) The rocket reaches it's highest point after 2 seconds.

The rocket hits the ground when h = 0, hence:

-(x - 2)² + 25 = 0

(x - 2)² = 25

Applying the square root to both sides:

x - 2 = 5.

x = 7.

The rocket will be back on the ground after 7 seconds.

More can be learned about quadratic functions at brainly.com/question/24737967

#SPJ1

You might be interested in
Jada makes sparkling juice by mixing 2 cups of sparkling water with every 3 cups of apple juice.
alisha [4.7K]

Answer:

10 cups

Step-by-step explanation:

Ratio of water:juice = 2:3

2:3

?:15

3*5 = 15

2*5 = 10

6 0
2 years ago
Please help with this​
ss7ja [257]

Answer:

The tank has a capacity of 6000 liters

2.75 cubic meters of concrete

Step-by-step explanation:

8 0
3 years ago
Help with some homework please
LUCKY_DIMON [66]
Sorry I don’t get this one anymore ???
8 0
3 years ago
PLEASE HELPP !!! it’s due today
pogonyaev

Answer:

18

Step-by-step explanation:

6 0
2 years ago
23.5584557678 rounded to the nearest hundredth
hram777 [196]
23.5584557678 = 23.56 <span>rounded to the nearest hundredth

hope it helps</span>
3 0
3 years ago
Other questions:
  • The carnival owner pays the owner of an exotic animal exhibit $650 for the entire time the exhibit is displayed. The owner of th
    8·1 answer
  • Please help me find the inverse
    13·1 answer
  • Help me ASAP!!! Can someone check my work? PLZ tell me if i did something wrong!!
    13·1 answer
  • What does the graph of y=-3sin2x look like
    15·1 answer
  • Help me figure out this question #15
    6·1 answer
  • PLEASE HELP!! WILL MARK BRAINLEST!!
    13·2 answers
  • The scatterplot below shows the relationship between family size and
    10·1 answer
  • Which models represent the sum?<br><br><br>1.1 + 0.6<br><br><br>Select each correct answer.
    8·1 answer
  • If f(x) = x^2 and g(x) = 1/2 f(x + 3) + 6 Describe the transformation(s)​
    11·1 answer
  • Pizza prices by city (Data in Pizza prices) The company that sells frozen pizza to stores in four markets in the United States (
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!