![amorosoavap5cejz](/avatars/42283.jpg)
amorosoavap5cejz
02.02.2020 •
Mathematics
Amodel rocket is launched from a roof into a large field. the path of the rocket can be modeled by the equation y=-0.04x^2+9.1x+11.9, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground. how far horizontally from it’s starting point will the rocket land?
Solved
Show answers
More tips
- G Goods and services How to Properly Calculate the Power of Your Air Conditioner?...
- F Food and Cooking Effective Methods to Organize Videos in your iPad According to Content...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
- H Health and Medicine Kinesiology: What is it and How Does it Work?...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
Answers on questions: Mathematics
- M Mathematics Can someone help me please...
- M Mathematics Select the right answer...
- W World Languages Use the quotation to answer the question. “We the People of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility,...
- M Mathematics Let f(x)=x+5 and g(x)=x^2 find (g*f) (4) a. 9 b. 81 c. 21 d.1...
- S Social Studies Social theory categorizes listener responses to a persuasive message according to latitude of acceptance, latitude of rejection, or latitude of noncommitment...
- P Physics 2. a net force is the combination of all forces acting on an object equal and opposite forces acting on an object the direction in which an object travels when...
- M Mathematics The youth group is going on a trip to the state fair. the trip costs $58. included in that price is $12 for a concert ticket and the cost of two passes, one for...
Ответ:
228.8 meters
Step-by-step explanation:
y = -0.04 x² + 9.1 x + 11.9
When the rocket lands, y = 0:
0 = -0.04 x² + 9.1 x + 11.9
Solving for x, start by multiplying by -1:
0 = 0.04 x² - 9.1 x - 11.9
Multiply by 100:
0 = 4x² - 910 x - 1190
Solve with quadratic formula:
x = [ -b ± √(b² - 4ac) ] / 2a
x = [ 910 ± √((-910)² - 4(4)(-1190)) ] / 2(4)
x = [ 910 ± √(847140) ] / 8
x ≈ -1.3, 228.8
Since x can't be negative, x = 228.8 meters.
Ответ:
45
Step-by-step explanation: