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ICE Princess25 [194]
3 years ago
14

A ball is launched into the sky at 272 feet per second from the roof of a skyscraper 1,344 feet tall. The equation for the ball’

s height h at time t seconds is h = -16t2 + 272t + 1344. When will the ball strike the ground?
Mathematics
1 answer:
sladkih [1.3K]3 years ago
3 0
The ball will strike the ground when h=0.
-16t²+272t+1344=0
t₁,₂=(-272+-√(272²+4*16*1344))/2*(-16)
t₁,₂=(-272+-400)/(-32)
t₁=(-272+400)/(-32)=-4 or t₂=(-272-400)/(-32)=21
Time cannot be negative value so t₂ is solution. The ball will strike the ground in 21seconds.
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-5x+7y=-34<br> -5x+3y=-6
lisov135 [29]

Answer:

<h2>         x = -3,  y = -7</h2>

Step-by-step explanation:

-5x + 7y = -34     ⇒  -5x = -34  - 7y

    -5x + 3y = -6

-34  - 7y + 3y = -6

-34 - 4y = -6          {add 34 to both sides}

  -4y = 28             {divide both sides by (-4)}

     y = - 7

-5x + 3y = -6

-5x + 3(-7) = -6

-5x - 21 = -6        {add 21 to both sides}

-5x = 15            {divide both sides by (-5)}

  x = -3

7 0
3 years ago
Find the circumference of a circle whose area is 24
zalisa [80]

The answer is: " 17.35 " .

__________________________________

→ The circumference of the circle is: " 17.35 units " .

__________________________________


The area, "A", of a circle:

A = \pi * r² ;

Note: \pi  = 3.14 .

The area of the circumference, "C", of a circle:

C = 2 \pi r .

__________________________________________

Given:

A = 24 ;

Use the formula for the area, "A" of a circle, to find the radius, "r" .

Then, plug the value obtained for "r" into the formula for the circumference, "C" , of a circle:

C = 2\pi r l

To solve for the circumference, "C", of the circle.

________________

A = \pi  *  r^{2} ;

24 = 3.14 * r² ;

↔ 3.14 * r² = 24 ;

Divide each side of the equation by "(3.14)" ;

[3.14 * r²] / 3.14 = (24) / (3.14) ;

to get:

→ r² = 7.64331210191 ;

Take the positive square root of each side of the equation;

to isolate "r" on one side of the equation; & to solve for the radius, "r" ;

→ ⁺√(r²) = ⁺√(7.64331210191) ;

to get:

→ r = 2.76281034802 ;

____________________________

Now, plug this "obtained value" for the radius, "r" into the equation for the formula for the circumference, "C" of a circle:

→ C = 2 \pi * r ;

to solve for the circumference, "C", of the circle:

→ C = 2 * (3.14) * (2.76281034802) ;

= (6.28) * (2.76281034802) ;

= 17.3504489856 ;

→ round to: " 17.35 units" .

__________________________________

The answer is: " 17.35 " .

__________________________________

→ The circumference of the circle is: " 17.35 units " .

__________________________________

6 0
4 years ago
What number should be added to the expression x2 14x to change it into a perfect square trinomial?.
makkiz [27]

Answer:

  49

Step-by-step explanation:

When you look at the square of a binomial, you see ...

  (x +a)^2 = x^2 +(2a)x +a^2

The constant value (a^2) is <em>the square of half the x-coefficient</em>.

  (14/2)^2 = 49 . . . . the value to be added.

Adding 49 gives ...

  x^2 +14x +49 = (x +7)^2

8 0
2 years ago
What is twice the sum of -2 and a number is the same as the number decreased by 7/2
Akimi4 [234]
Sent a pic of the solution (s).

3 0
4 years ago
Use the sequence below to answer parts a and b (8,17,26,35,44,53,...) Create an explicit formula to determine the 12th term of t
Andreyy89
THATS HOW YOU SOLVE THE 12TH AND 7TH TERM

8 0
3 years ago
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