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
Genrish500 [490]
2 years ago
7

The height after t seconds of an object projected upward with an initial velocity of 48 feet per second from a 210-foot tower ca

n be modeled by h=−16t^2 + 48t +210. The height of a neighboring 50-foot tall building is modeled by the equation h=50. The time (t) when the object will be at the same height as the building is found to be t = –2 and t = 5. Which statement BEST describes the validity of these solutions? A. Neither solution is valid since time values cannot be squared. B. The solution t = – 2 is the only solution since 5 seconds is an unreasonable amount of time for the object to reach a height of 50 feet. C. The solution t = 5 is the only valid solution to this system since time cannot be negative. D. Both are valid solutions to this system since both values make the equation h=−16t^2+ 48t + 210 true.
Mathematics
1 answer:
svetlana [45]2 years ago
6 0

Given:

The height h of an object after t seconds is

h=-16t^2+48t+210

The height of a neighboring 50-foot tall building is modeled by the equation h=50.

The time (t) when the object will be at the same height as the building is found to be t = –2 and t = 5.

To find:

The statement which describes the validity of these solutions.

Solution:

We have,

h=-16t^2+48t+210

Here, t is the time in seconds.

For t=-2,

h=-16(2)^2+48(-2)+210

h=-64-96+210

h=50

For t=5,

h=-16(5)^2+48(5)+210

h=-400+240+210

h=50

So, the value of h is 50 at t=-2 and t=5.

We know that time is always positive so it cannot be negative value. It means t=-2 is not possible.

The solution t = 5 is the only valid solution to this system since time cannot be negative.

Therefore, the correct option is C.

You might be interested in
What is the factored form of 24x + 64y?
skelet666 [1.2K]
What is the factored form of 24x + 64y?
8(3x+8y)
6 0
3 years ago
Two cars are driving toward each other from opposite directions. If one is driving 55 mph, the other is driving 60 mph and the c
Korvikt [17]
Set 500 to sum of distances traveled by both cars.
55t + 60t = 500  \\ 115t = 500  \\ t = (500/115) = 4.3
4 0
2 years ago
Vita has 8 times more candy than Anna, but Uldis has 10 candies more than Anna.
Gekata [30.6K]
Your mom dad grandma grandpa aunt uncle step dad or step mom or foster parents
5 0
2 years ago
Read 2 more answers
A circle is centered at Q(1,-5) and has a radius of 5. Where does the point Y(4,-1) lie?
marta [7]

Answer:

Point Y (4, -1) lies on the circle.

Step-by-step explanation:

Distance = √[(x2-x1)² + (y2 - y1)²] = √[(4-1)² + (-1-(-5))²] = √[3² + 4²]= √25 = 5

Point Y (4, -1) lies on the circle, because the distance from the center to this point equals radius of the circle.

4 0
3 years ago
15. Higher Order Thinking Nancy made a
Andreas93 [3]

The length of the rectangle is 20 inches, and the width of the rectangle is 4 inches if the table runner has an area of 80 square inches. The length and width of the table runner are whole numbers. The length is 5 times greater than the width.

<h3>What is the area of the rectangle?</h3>

It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

The area of the table runner = 80 square inches

Let's assume the length of the rectangle is L and the width is W

Then L = 5×W ...(1)

L×W = 80 ...(2)

Put the value of L in the equation (2)

5W(W) = 80

5W² = 80

W² = 16

W = ±4

Width cannot be negative.

W = 4 inches putting this value in the equation (1)

L = 5(4) = 20 inches

Thus, the length of the rectangle is 20 inches, and the width of the rectangle is 4 inches if the table runner has an area of 80 square inches. The length and width of the table runner are whole numbers. The length is 5 times greater than the width.

Learn more about the area here:

brainly.com/question/14383947

#SPJ1

8 0
1 year ago
Other questions:
  • The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 4 to 7. If there were 5
    10·1 answer
  • Calculate the value of 4×8-3÷5
    8·2 answers
  • Hayden likes building radio-controlled sailboats with her father. One of the sails, shaped like a right triangle, has side lengt
    11·1 answer
  • Place the indicated product in the proper location on the grid. (x + y)(x2 - xy + y2)
    15·2 answers
  • 5 to the 2th power minus negative 3 to the 2to power
    7·1 answer
  • А<br> D<br> C<br> B<br> ZABC is bisected by BD. If mZDBC = 65°,<br> then m ZABC = [?]°
    10·2 answers
  • 19. The formula P = a + b + cgives the perimeter P of a triangle with side
    9·1 answer
  • Factor 6x4 - 5x2 + 12x2 – 10 by grouping. What is the resulting expression? O (6x + 5)(x2 - 2) O (6x - 5)(x2 + 2) (6x2 + 5)(x -
    14·2 answers
  • What is 3(x-4)=12x extra letters because it says I need 25 or more
    6·1 answer
  • What is 234,991 written in expanded notation?​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!