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Inessa05 [86]
2 years ago
14

A model rocket is launched with an initial upward velocity of 126 ft/s. The rocket's height h (in feet) after 1 seconds is given

by the following
=126t-16t^2
Find all values of t for which the rocket's height is 50 feet.
Round your answers) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
Mathematics
1 answer:
Vlad [161]2 years ago
3 0

Step-by-step explanation:

f(t) = -16t² + 126t

for what values of t did this function deliver 50 ft of height ?

50 = -16t² + 126t

-16t² + 126t - 50 = 0

the general solution to such a squared equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = t

a = -16

b = 126

c = -50

t = (-126 ± sqrt(126² - 4×-16×-50))/(2×-16) =

= (-126 ± sqrt(15876 - 3200))/-32 =

= (-126 ± sqrt(12676))/-32 =

= (-126 ± 112.5877436...)/-32

t1 = (-126 + 112.5877436...)/-32 = -13.41225644.../-32 =

= 0.419133014... ≈ 0.42 seconds

t2 = (-126 - 112.5877436...)/-32 = -238.5877436.../-32 =

= 7.455866986... ≈ 7.46 seconds

so, this means, right after launch the ticket reaches 50ft (from below) after 0.42 seconds, and then, when it falls back down, it will reach 50ft again (this time from above) after 7.46 seconds of flight time.

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Aliun [14]

Answer:

a. 1\frac{1}{8} in.

Step-by-step explanation:

<em>hey there,</em>

<em />

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Imagine this like a pizza that's divided into 8, but you only took 1 slice. That means you took only \frac{1}{8} of the pizza. It is the same here on the ruler.

It's not only 1/8 though because we also have to add in the first inch. After that inch, we also have 1/8 of an inch. So 1\frac{1}{8} in. would be your final answer. >

<u>Hope this helped! Feel free to ask anything else.</u>

4 0
3 years ago
Write the equation of a horizontal line that passes through the point (-2,2)
kvasek [131]
Y=-2x+2 that's my answer
6 0
3 years ago
Read 2 more answers
M(2,4) is the midpoint of RS. The coordinates of S are (3,1) what are the coordinates of R
zepelin [54]

1, 7

just do

3, 1

2, 4

and see what you have to do to get to that mid point. you need to go down one to get to 2 from 3 and you have to go +3 to get to 4 from 1. so you need to go down 1 for x and + 3 for y

hope that made sense

4 0
2 years ago
Where does the line y = -4x + 9 cross the y-axis?<br> please help
iren2701 [21]

Answer:

y = 9

Step-by-step explanation:

When the line crosses y-axix,  x-co ordinate = 0

y = -4*0 + 9

y = 0 + 9

y = 9

8 0
3 years ago
Please help, I’ll mark your answer as brainliest!
inna [77]

Answer:

Length :

12

feet

Width :

10

feet

Explanation:

Let the length of the garden be

x

feet.

Therefore, the breadth or width of the garden is

(

x

−

2

)

feet.

So, According to the problem,

x

(

x

−

2

)

=

120

⇒

x

2

−

2

x

=

120

⇒

x

2

−

2

x

−

120

=

0

[Transposing 120 to the L.H.S]

⇒

x

2

+

10

x

−

12

x

−

120

=

0

[Breaking

−

2

x

as

10

x

−

12

x

]

⇒

x

(

x

+

10

)

−

12

(

x

+

10

)

=

0

[Taking the like terms aside]

⇒

(

x

+

10

)

(

x

−

12

)

=

0

[Completing the factorisation]

We know, When two real quantities are multiplied and the product is zero, then one of them or both of them should be zero.

So, Either

x

+

10

=

0

or

x

−

12

=

0

So,

x

=

−

10

or

12

As

x

indicates length,

x

can't be negative.

So,

x

=

12

.

So, The length of the garden is

12

feet and the width of the garden is

(

12

−

2

)

feet =

10

feet.

Step-by-step explanation:

plz mark me as a brainliest

5 0
2 years ago
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