Mathematics : asked on 1057799
 21.06.2020

14. treyvon is standing 9 yards from the base of a hill that has a slope of 3/4. he throws a water balloon from a height of 2 yards.its path is modeled by h(x)=-0.1x^2+0.8x+2, where h is the height of the balloon in yards and x is the distance the balloon travels in yards.
a. write a polynomial equation to represent the situation.
b. how far from treyvon will the balloon hit the hill?

Request clarification:

Expert:

Can you clear this what to find in part A? Because it's not clear about what situation is to be expressed... 

User:

I don't know what needs to be found in part a that is why I am asking a question here. What I have written was what I was given.

. 5

Step-by-step answer

29.11.2022, solved by verified expert
Unlock the full answer
1 students found this answer . helpful

Answer:

see below

Step-by-step explanation:

Given the the height of  the ballon is modeled using 

h(x)  = -0.1x^2+0.8x+2.... eq 1

a) polynomial equation

Here -0.1x^2+0.8x+2 is a polynimail, hence polynomial equation is -0.1x^2+0.8x+2 = 0

b) To hit the hill : situation is shown in the picture below: 

14. treyvon is standing 9 yards from the base, №15253506, 21.06.2020 22:41

Here AB is the with slope AD. 

Now, on throwing the balloon. 

Here the slope =  (2-h)/x = 3/4

8 - 4h = 3x 

h = (8-3x)/4 ......eq 2  

using (1) and (2) 

-0.1x^2+0.8x+2 = (8-3x)/4

-0.4x^2 + 3.2x + 8 = 8 - 3x 

-0.4x^2 = -0.2x 

0.4x = 0.2 

x = 1/2 = 0.5 

Therefore, the balloon will hit the hill at a distance of 0.5 yard. 

It is was helpful?

Faq

Mathematics
Step-by-step answer
P Answered by PhD

Answer:

b) 3.172 yd

Step-by-step explanation:

Model of balloons path h(x)=-0.1x^2+0.8x+2 

treyvon is standing 9 yards from the base of a hill that has a slope of 3/4. 

So equation of mountain y  = ¾x 

At y = 9 yd x = 12 yd 

A) polynomial equation of the situation

y = ¾x 

And h(x)=-0.1x^2+0.8x+2

B)  Using Treyvon position as origin (0,0).

using desmos graphing calculator,  the ballon will hit the hill 3.172 yd away from Treyvon.  

Since we have to find the displacement of balloon only so we don't consider negative sign

Model of balloons path h(x)=-0.1x^2+0.8x+2 treyvon is standing 9 yards from the base of a hill
Mathematics
Step-by-step answer
P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
Step-by-step answer
P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

Try asking the Studen AI a question.

It will provide an instant answer!

FREE