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1 year ago

MODELING REAL LIFE The height of the house is 26 feet. What is the height x of each story?T61tThe height x of each story isfeet

Mathematics

1 answer:

lozanna [386]1 year ago

8 0

The total height of the building in the picture has been shown as

x + x + 6

That is, the first two storys have been shown as x feet each and the total height is 26 feet.

That means the two x are actually 20 feet, (if you deduct the 6 feet given)

Total height = x + x + 6

26 = x + x + 6

26 = 2x + 6

Subtract 6 from both sides of the equation

26 - 6 = 2x + 6 - 6

20 = 2x

Divide both sides of the equation by 2 and you now have,

20/2 = 2x/2

10 = x

Therefore, te height of each story is 10 feet!

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3 years ago

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(4x+2y=84 , 3x + 5y=126) If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection

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3 years ago

There are 475 students and teachers going on a field trip a school bus holds 78 people how many buses are needed for the trip

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3 years ago

A baseball is hit into the air, and its height h in feet after t seconds is given by h(t)= -16t^2+128t+2. The height of the bas

tankabanditka [31]

Answer:

$\large \boxed{\sf \ \text{2 feet, 4 seconds, 258 feet } \ }$

Step-by-step explanation:

Hello,

To know the height of the baseball when it is hit we have to compute h(0), as t = 0 is when the baseball is hit into the air.

$h(0)=-16\cdot 0^2+128 \cdot 0+2=2$

So, the answer is 2 feet.

h(x) is a parabola which can be written as $ax^2+bx+c$ , it means that the vertex is the point (-b/2a,h(-b/2a)).

The baseball reached its maximum height after

$\dfrac{-b}{2a}=\dfrac{-128}{-2*16}=\boxed{4 \text{ seconds}}$

And the maximum height of the baseball is h(4).

$h(0)=-16\cdot 4^2+128 \cdot 4+2=-256+512+2=\boxed{258 \ \text{feet}}$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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3 years ago